tablas de flujo compresible (version ef)

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tablas de FLUIDOS 2

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TABLAS TODASTABLAS DE FLUJO COMPRESIBLEIngrese el nmero de Mach MFLUJO ISENTRPICOONDA DE CHOQUE NORMALFLUJO FANNOTabla A.1Funciones para flujo isentrpico unidimensional para un gas perfectoChoque normal unidimensional de un gas perfecto[ Calor especfico y peso molecular constantes ]( Calor especfico y peso molecular constantes )k = 1.67k =1.26

MM*MxMy

0011100

0.010.011554026556.23450603280.99986014960.99995000210.999966501143.280734091456.22981072620.012921985477.39394976360.02181912841.001.000001.000001.000001.000001.00000001.80811610ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.010.990121.022411.017751.004580.99999871.82846610.260.29706488532.26140641030.91074495120.96712941190.97785548471.83166641362.13864098790.32133165633.27535799410.52850356331.020.980481.045051.035591.009140.99998991.84918870ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.030.971071.067911.053521.013660.99996641.87027691.040.961881.090991.071541.018150.99992171.89172420ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!04.321.85352460916.74486028250.00025563050.05196886290.13789482041.19651863670.04833526740.10773558492.13959640940.02019372291.050.952901.114291.089651.022610.99984971.91352450ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.060.944121.137821.107851.027050.99974471.93567200ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.070.935551.161571.126131.031470.99960161.95816143.21.75658488723.4110304270.00200032580.10843258050.22571325391.16293567580.0834838460.21303283072.07954387010.06753290691.080.927171.185541.144491.035870.99941541.98098761.090.918971.209741.162931.040250.99918162.00414610ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!00ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.100.910961.234161.181461.044610.99889612.02763220ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.110.903121.258801.200061.048950.99855512.05144200ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.120.895441.283671.218731.053280.99815502.07557130ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!01.130.887931.308761.237481.057600.99769252.10001671.140.880581.334071.256301.090270.99716472.12477450ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!00ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!00ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!00ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!00ERROR:#DIV/0!111ERROR:#DIV/0!ERROR:#DIV/0!0ERROR:#DIV/0!0

ONDA DE CHOQUE NORMAL

ISENTRPICOTabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.12935

MM*00111000.010.010954341657.8738426620.99993000310.99995000170.999980000445.649480062757.86979167530.011831449784.52641237250.01727896320.020.02190802628.94213018520.99972005040.9998000280.999920006422.833640095128.93402784720.023658640642.27968590190.03455170690.030.032860396119.30054199860.99937025510.99955014170.999820032415.232314929119.288387580.035477317528.20476665490.05181201650.040.043810795414.93782354780.99909697470.99920044780.999680102411.434617608214.46527833320.047283231821.17279762980.0620346699

0.050.054758567811.591440.99825196690.99875109290.99950024999.158370467811.57118164020.059072145316.95800692050.08627052950.060.06570305819.665910.9974840770.99820226560.9992805187.64284739229.641591380.070839833214.15180347030.10345637330.070.07664361198.291530.99657754960.99755419560.99902095956.56202270888.26314781630.082582087612.15050503790.12060507350.080.08757957627.261610.99553287220.99680715430.99872163635.75288341147.22917110640.094294721110.65227018790.13771051450.090.09851029936.461340.99435060590.99596145390.99838262025.12486656866.42483913850.10597356979.48940895560.1547666151

0.10.1094351315.821830.99303138490.99501744760.9980039924.62363428615.78125866610.11761449648.56130711220.17176733340.110.1203534235.299230.99157591530.99397552910.99758584234.21460778215.25458855080.1292133947.80393719470.18870667150.120.13126452884.864320.98998497510.99283613190.99712827063.87473442364.81560138380.14076618887.17461402130.20557867980.130.1421678044.496860.98825941270.99159972950.99663138593.58805459294.4440628210.15226884376.64378612230.22237746240.140.15306260684.182400.98640014620.99026683480.99609530643.34316846834.12551977360.16371736076.19034512980.2390971806

0.150.16394829763.91034275130.98440816270.98883799940.99552015933.1317160933.84937332320.17510778465.79881141130.25573205820.160.17482423983.67273863360.98228451660.98731381340.99490608092.9474274173.60767429340.1864362065.45757509060.27227638550.170.18568979923.46350904920.98003032920.98569490450.99425321642.785507623.39434391380.19769876355.15775788540.28872452350.180.19654434533.27792645090.9776467870.98398193810.99356172012.64222732543.20465426260.20889164744.8924543320.30507090840.190.20738725043.11225865490.97513514040.98217561610.99283175472.51464222073.03487278040.2200111024.65621262330.3213100551

0.20.21821789022.9635200.9724967030.98027667660.99206349212.40039679262.88201342910.23105342854.4446711960.33743656190.210.22903564432.82929360490.96973284930.9782858930.99125711232.29758413672.74365894890.24201498754.25429914940.35344511380.220.23983989592.70760209970.96684501410.97620407380.99041280412.20464400172.61783159020.25289220174.08220745920.36933048620.230.2506300322.5968120810.96383469040.97403206140.98953076452.12028743032.50289756810.26368155843.92600944050.38508754920.240.26140544382.49556245180.96070342820.97177073170.9886111992.04344024052.39749540270.27437961163.78371609460.4007112702

0.250.2721655272.4027100.95745283270.96942099310.9876543211.97320007062.30048145830.28498298483.65365657240.4161967180.260.28290968132.31728730980.95408456290.96698378620.9866603521.90880333772.21088805010.29548837283.53441699310.43153906540.270.29363731122.23847056880.95060032950.96446008230.98562952161.84959953832.12789086030.30589254373.42479285810.4467335930.280.30434782612.16555357620.94700189360.96185088330.98456206681.79503105592.05078333740.31619234173.32375166250.46177569140.290.315040642.09792763370.94329106460.95915722030.98345823251.74461714681.9789563910.32638468813.23040324180.4766608647

0.30.3257151722.03506526230.93946969850.95638015310.98231827111.69794112821.91188214840.33646658373.14397604940.49138473270.310.33637084661.97650710350.93553969620.95352076910.98114244231.65464004641.84910085510.34643511033.06379802570.50594303360.320.34700709341.92185127520.93150300130.95058018280.97993101291.61439628211.79021023090.35628743242.9892810540.52033162650.330.35762334751.87074466360.92736159860.94755953420.97868425691.57693068211.73485676180.36602079892.91990824290.53454649340.340.36821904971.82287575170.92311751180.94445998870.97740245521.54199690291.68272852830.37563254422.8552234530.5485837414

0.350.37879364651.77796867750.91877280180.94128273550.97608589561.50937672421.63354926340.38512008962.79482261870.56243960460.360.38934659021.73577828170.91432956470.9380289870.97473487211.47887614311.58707340060.39448094472.73834651670.5761104460.370.39987733911.69608595940.90978992950.93469997770.97334968561.45032210241.54308192540.40371270842.6854747070.58959275880.380.41038535771.65869616640.90515605660.93129696350.9719306431.42355973461.50137888110.41281306982.63592043110.60288316830.390.42087011661.62343346270.90043013560.92782122030.97047805751.39845003081.46178841290.42177980942.58942629410.61597843280.3790.40933559391.66233667740.90562362240.93164055890.97207406191.42615942261.50545136350.41190901082.64073411790.6015628564Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*

0.400.43133109281.590140.8956143830.92427404330.96899224811.37486785831.42415225510.43061079932.54576059560.62887544490.410.44176776981.55867337690.89071104080.9206567460.96747353961.35270026951.38832758580.43930400462.50471419690.64157123290.420.45217963751.52890479970.88572237380.91697065910.96592226261.33184505091.35418518850.44785748372.46609783580.65406296070.430.46256619261.50071750120.8806506680.91321712970.96433875291.31220947621.32160786990.45626938842.42973981640.66634792970.440.47292693841.47400537370.87549822850.90939751990.96272335181.29370922831.29048909350.46453796482.39548401360.6784235783

0.450.48326138531.44867178510.87026737760.90551320640.96107640561.27626746521.26073179550.47266155342.36318814390.69028748280.460.49356905041.42462854970.86496045250.90156557890.95939826541.25981400821.2322473550.48063858932.33272226160.70193735780.470.50384945791.40179502920.85957980380.89755603950.95768928731.24428463351.20495469620.4884676022.30396744710.71337105580.480.51410213921.38009734750.85412779290.89348600160.95594983181.2296204521.17877950150.49614721572.27681465920.72458656760.490.52432663251.35946770070.84860679080.88935688890.95418026371.21576736571.15365352260.50367614922.25116372760.7355820219

0.500.53452248381.339843750.84301917540.88517013420.95238095241.20267558861.12951397330.51105321532.22692246690.74635568510.510.54468924611.32116808680.83736733030.88092717880.95055227091.19029922491.10630299370.51827732082.20400589430.75690596070.520.55482647971.30338775830.83165364240.87662947140.94869459621.17859589481.08396717670.52534746632.18233553780.76723138890.530.56493375261.28645384790.82588050040.87227846690.94680830921.16752640351.06245714770.5322627452.16183882280.77733064550.540.57501064021.27032110180.82005029270.86787562570.94489379391.15705444671.04172719130.53902234282.14244852660.7872025416

0.550.58505672551.25494759590.81416540560.86342241270.9429514381.1471463481.02173491850.54562553742.12410229280.79684602230.560.59507159891.24029443930.80822822210.85892029620.9409816321.13777082491.00244096960.55207169742.10674219720.80626016560.570.60505485871.22632550840.80224111930.85437074730.93898476971.12889877870.98380874860.55836028172.09031435990.81544418110.580.61500611081.21300720860.79620646740.84977523850.93696124731.12050310730.96580418450.56449083862.07476859720.82439740910.590.62492496891.20030826020.79012662760.84513524340.93491146391.11255853580.94839551780.57046300442.06005810930.8331193187

0.600.63481105431.18819950620.78400395090.84045223530.93283582091.10504146480.93155310730.57627650312.04613919850.84160950650.610.64466399631.1766537380.7778407760.83572768660.9307347221.09792983340.91524925670.58193114442.03297101590.84986769490.620.65448343181.16564553940.77163942840.83096306760.92860857291.09120299540.89945805770.58742682342.02051533220.85789373030.630.66426900581.15515114380.76540221830.82615984640.92645778131.08484160740.8841552480.59276351852.00873633050.86568758150.640.6740203711.14514830640.75913143960.82131948710.92428275661.07882752740.86931808240.59794129071.99760041810.8732493376

0.650.68373718791.13561618690.75282936820.81644344980.92208390961.07314372250.85492521650.60296028211.98707605650.88057920580.660.69341912521.12653524380.74649826090.81153318940.91986165281.06777418550.84095660030.60782071421.97713360590.88767750990.670.7030658591.11788713750.74014035380.80659015470.91761639961.06270385830.82739338140.61252288661.96774518430.89454468750.680.71267707391.10965464240.73375786120.80161578820.91534856471.05791856290.81421781710.61706717581.95888453890.90118128810.690.72225246181.10182156680.72735297460.79661152480.91305856361.05340493740.80141319410.6214540331.95052692850.9075879708

0.700.73179172291.09437267860.7209278610.79157879140.91074681241.04915037820.78896375430.6256839831.94264901570.9137655020.710.74129456511.08729363870.71448466230.78651900590.90841372791.04514298710.77685462820.6297576221.93522876920.91971475270.720.75076070441.08057093920.70802549380.7814335770.90605972751.04137152230.76507177290.63367561681.92824537340.92543669620.730.76018986431.07419184660.70155244370.77632390320.90368522841.03782535380.75360191510.6374387021.92167914520.93093240570.740.76958177651.06814434990.69506757160.77119137210.90129064821.03449442240.74243249940.6410476791.91551145870.9362030517

0.750.77893618031.06241711280.68857290780.766037360.89887640451.03136920170.73155164060.64450341411.90972467450.94124989890.760.7882528231.05699942940.68207045250.76086323120.89644291451.02844066380.72094807910.64780683641.90430207590.94607430450.770.79753145941.0518811840.67556217480.75567033750.89399059521.02570024630.71061114040.6509589361.89922780880.95067771450.780.80677185231.04705281340.66905001220.75046001770.89151986311.02313982380.70053069760.65396076261.89448682760.95506166180.790.81597377211.04250527190.66253586950.74523359670.88903113391.02075167960.69069713680.65681342321.89006484370.9592277631Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*0.800.8251369971.038230.65602161840.73999238550.88652482271.01852848070.68110132480.65951808021.88594827920.96317771590.810.83426131271.0342188940.64950909670.73473768040.88400134371.01646325440.67173457970.66207594971.88212422320.96691329640.820.84334651261.03046427890.64300010810.72947076270.88146110991.01454936660.66258864270.66448829951.87858039150.97043635620.830.85239239771.02695888290.6364964210.72419289790.87890453341.01278050130.65365565350.66675644741.87530508950.97374881960.840.86139877641.02369581370.62999976860.7189053360.87633202471.01115064230.64492812570.66888175891.8722871770.9768526809

0.850.87036546461.02066853630.62351184810.71360931020.8737439931.00965405540.63639892540.67086564541.86951603660.97975000150.860.87929228571.01787085290.61703432060.70830603730.87114084611.00828527240.62806125020.67270956271.86698154310.98244290730.870.88817907041.01529688350.61056881030.70299671690.86852298981.00703907620.61990861030.67441500851.8646740360.98493358570.880.89702565691.01294104840.60411690490.69768253110.86589082851.00591048610.6119348110.67598352091.86258429320.98722428270.890.90583189031.01079805160.59768015440.69236464450.86324476441.00489474540.60413393560.67741667611.86070350680.9893173007

0.900.91459762321.00886286520.59126007180.68704420350.86058519791.00398730860.59650033020.67871608721.85902326050.99121499510.910.92332271531.00713071530.58485813230.68172233620.85791252721.00318383050.58902858910.67988340141.8575355080.99291977180.920.93200703321.00559706820.57847577330.67640015220.85522714831.00248015490.58171354170.6809202991.8562325540.99443408460.930.94065045081.00425761810.57211439450.67107874240.85252945491.00187230490.57455023910.6818284911.85510703470.99576043230.940.94925284871.00310827510.56577535740.66575917860.84981983821.00135647390.56753394290.68260971761.85415190110.9969013563

0.950.95781411451.00214515420.55945998590.66044251330.8470986871.00092901580.56066011380.6832657461.85336040260.99785943760.960.96633414261.0013645650.55316956570.655129780.84436638751.00058643790.55392440150.68379836911.85272607160.99863729450.970.97481283411.00076300190.54690534460.64982199230.84162332311.00032539240.54732263440.68420940331.85224270910.99923757980.980.98325009691.00033713520.54066853270.64452014440.83886987451.00014266930.54085081110.68450068711.85190437180.99966297840.990.99164584521.00008380240.53446030210.63922521060.83610641961.00003518990.53450509120.68467407911.85170535860.9999162046

1.00110.52828178770.63393814530.833333333310.52828178770.68473145641.851640199511.011.00831248871.00008287630.52213408660.6286598830.83055098751.00003426390.52217735920.6846747131.8517036440.99991713051.021.0165832451.00032972410.51601825890.62339133820.8277597511.0001352590.51618840250.68450575831.85189065050.99967038461.031.02481220881.0007379740.50993532750.61813340530.82495998941.000300370.51031164650.6842265151.85219637670.99926257021.041.03299932651.00130518790.50388627870.61288695850.82215206521.00052708430.5045439450.68383891811.85261617010.9986965134

1.051.04114455031.00202905380.49787206230.6076528520.81933633761.0008129870.49888227150.68334491281.8531455590.9979750551.061.04924783861.00290737910.49189359190.60243191980.81651316221.00115575630.4933237130.68274645361.85378024440.99710104931.071.05730915581.00393808630.48595174520.59722497580.81368289151.00155315940.48786546510.68204550231.8545160920.99607736141.081.06532847211.00511920750.48004736450.59203281370.81084587441.00200304850.48250482660.68124402691.85534912470.99490686531.091.07330576351.00644887980.4741812570.58685620730.80800245631.0025033570.4772391950.68034399971.8562755160.9935924418

1.101.08124101181.00792534090.4683541950.58169591020.80515297911.00305209570.47206606170.67934739671.85729158260.99213697621.111.08913420431.00954692490.46256691670.57655265630.80229778081.00364734960.46698300830.67825619541.85839377870.9905433571.121.09698533391.01131205810.45682012610.57142715940.79943719621.00428727470.46198770190.67707237441.85957868980.98881447331.131.10479439891.01321925560.45111449410.56632011360.7965715561.00497009490.45707789190.67579791111.86084302710.98695321321.141.11256140311.01526711750.44545065830.56123219330.79370118741.0056940990.45225140580.67443478131.86218362210.9849624623

1.151.12028635551.01745432570.43982922390.55616405360.79082641361.00645763790.44750614640.67298495771.86359742150.98284510141.161.12796927031.01977964050.43425076410.55111632980.78794755421.00725912250.44284008810.67145040871.86508148250.98060400531.171.13561016671.02224189760.42871582070.54608963810.78506492491.00809702040.4382512740.66983309721.8666329680.97824204071.181.14320906911.02484000530.42322490410.54108457540.78217883741.00896985430.4337378130.66813497991.86824914230.97576206511.191.15076600681.0275729420.41777849460.53610171980.77928959961.00987619930.42929787680.66635800581.86992736710.9731669248Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*1.201.15828101381.03043975310.41237704230.53114163050.77639751551.0108146810.42492969770.66450411521.87166509760.97045945381.211.16575412891.0334395490.4070209680.52620484790.77350288521.01178397340.42063156560.66257523921.87345987840.96764247211.221.17318539571.03657150260.40171066370.5212918940.77060600461.01278279690.41640182620.66057329831.87530934010.96471878451.231.18057486221.0398348470.39644649280.51640327260.76770716581.01380991660.41223887810.65850020161.87721119630.96169117911.241.18792258111.04322887350.39122879130.51153946920.76480665691.01486414060.40814117120.65635784611.87916323980.9585624261

1.251.19522860931.04675292970.38605786780.50670095150.76190476191.01594431790.40410720410.65414811551.88116333960.9553352771.261.20249300821.05040641730.38093400440.50188816950.75900176091.01704933750.40013552280.65187287991.88320943830.95201246251.271.20971584321.05418879070.37585745730.49710155580.75609792981.01817812630.39622471840.64953399471.8852995490.94859669241.281.2168971841.05809955480.37082845690.49234152570.75319354061.0193296480.39237342520.64713329981.88743175280.94509065381.291.22403710431.06213826380.36584720910.48760847730.75028886121.02050290140.38858031950.64467261911.8896041960.9414970104

1.301.23113568191.06630451920.36091389540.48290279210.74738415551.02169691950.38484411770.642153761.89181508780.93781840171.311.23819299831.0705979690.35602867350.47822483490.74447968311.02291076780.38116357480.63957851241.89406269810.93405744171.321.24520913891.07501830530.35119167830.47357495430.74157571.02414354340.37753748280.63694864821.89634535510.93021671831.331.25218419291.07956526390.34640302170.46895348270.73867245791.02539437390.37396466950.6342659211.89866144310.92629879221.341.25911825281.08423862240.34166279420.46436073680.73577020421.02666241590.37044399730.63153206521.90100940060.9223061966

1.351.2660114151.08903819920.33697106460.45979701760.73286918291.02794685420.36697436140.62874879581.90338771830.91824143611.361.27286377921.09396385240.3323278810.45526261080.72996963331.02924690110.3635546890.62591780791.90579493720.91410698611.371.27967544851.09901547850.32773327150.4507577870.72707179111.03056179460.36018393820.62304077581.90822964710.90990529211.381.28644652941.10419301140.32318724440.4462828020.72417588781.03189079850.35686109660.62011935351.91069048410.90563876941.391.29317713141.10949642140.31868978880.44183789710.72128215121.03323320070.35358518030.61715517341.913176130.9013098021

1.401.29986736721.11492571430.31424087580.43742329920.71839080461.03458831270.35035523290.61414984661.91568530980.8969207431.411.30651735281.12048093030.30984045820.43303922120.71550206781.03595546870.34717032480.61110496211.91821679080.89247391271.421.31312720691.12616214320.30548847150.42868586230.71261615641.03733402490.34402955180.60802208681.92076938090.88797159981.431.31969705111.13196945980.30118483460.42436340830.70973328221.03872335870.34093203450.60490276521.92334192710.88341605981.441.32622700991.13790301840.29692944990.42007203140.7068536531.04012286780.33787691730.60174851921.92593331450.8788095152

1.451.33271721071.1439629890.29272220420.41581189110.70397747271.04153196990.33486336770.59856084771.92854246470.8741541551.461.33916778321.15014957150.28856296920.41158313430.70110494141.04295010180.33189057540.59534122631.93116833460.86945213451.471.34557886011.15646299610.28445160190.40738589520.69823625521.04437671850.32895775170.59209110771.93380991540.8647055751.481.35195057621.16290352160.2803879450.40322029590.69537160661.04581129310.32606412860.58881192091.93646623140.85991656361.491.3582830691.16947143530.27637182780.39908644680.69251118411.04725331580.32320895810.58550507151.93913633860.8550871529

1.501.36457647841.17616705250.27240306650.39498444640.68965517241.04870229360.32039151180.58217194141.94181932420.85021936121.511.37083094651.18299071540.26848146450.3909143820.68680375271.05015774970.31761107980.57881388881.94451430510.84531517191.521.37704661751.18994279310.26460681340.38687632970.68395710221.05161922260.31486697060.5754322481.94722042720.84037653391.531.38322363791.19702368060.26077889280.38287035480.68111539461.05308626630.31215851010.57202832951.94993686420.8354053611.541.38936215641.20423379850.25699747140.37889651210.67827879971.05455844910.30948504120.56860342011.9526628170.8304035323

1.551.39546232351.21157359250.25326230720.37495484580.6754474841.05603535350.30684592340.56515878241.95539751280.82537289211.561.40152429161.21904353290.24957314780.37104539040.672621611.0575165760.30424053190.56169565561.95814020370.82031524961.571.40754821531.22664411410.24592973130.36716817020.66980133691.05900172580.30166825730.55821525451.9608901670.81523237951.581.41353425071.23437585430.24233178610.36332320020.66698682031.06049042550.29912850540.55471877061.96364670310.81012602161.591.41948255581.24223929480.23877903190.35951048610.66417821231.06198230960.29662069630.55120737141.96640913570.804997881Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*1.61.42539329021.2502350.23527118010.35573002440.66137566141.06347702510.29414426390.54768220081.9691768110.79984962831.611.43126661521.25836355660.23180793380.35198180280.65857931271.06497423030.2916986560.54414437921.97194909630.79468289971.621.43710269361.26662557370.22838898830.34826580050.6557893081.0664735950.28928333340.54059500351.97472538020.7894992971.631.44290168971.27502168180.22501403210.34458198850.65300578561.06797479970.28689776960.53703514711.97750507130.78430038821.641.44866376931.28355253320.22168274640.34093032940.65022888061.06947753580.28454145070.53346586031.98028759790.7790877071

1.651.45438909961.29221880130.21839480610.33731077810.64745872451.07098150480.28221387460.52988817041.98307240730.77386275381.661.46007784891.301021180.215149880.33372328190.64469544591.07248641820.27991455080.52630308171.98585896530.7686269951.671.46573018691.30996038410.21194763110.33016778080.64193916981.07399199690.27764300030.52271157561.98864675550.76338186421.681.47134628471.31903714840.2087877170.32664420750.63919001841.07549797160.27539875480.51911461111.99143527880.75812876171.691.47692631421.32825222790.20566979010.32315248770.63644811041.07700408170.2731813570.51551312471.99422405280.7528690553

1.71.48247044871.33760639710.20259349840.31969254050.63371356151.07851007550.27099035950.51190803061.99701261150.74760408011.711.48797886221.347100450.19955848520.31626427850.63098648431.08001570990.26882532520.5083002211.99980050460.74233513921.721.493451731.35673519990.19656438980.3128676080.62826698831.08152074990.26668582670.50469056632.00258729710.73706350371.731.49888922831.3665114790.19361084790.30950242920.62555518021.08302496860.26457144610.50107991552.00537256890.73179041331.741.50429153391.37643013850.19069749150.30616863650.62285116351.08452814680.26248177460.49746909582.00815591410.7265170763

1.751.50965882481.3864920480.18782394950.30286611850.62015503881.0860300730.26041641240.49385891352.0109369410.72124467031.761.51499127961.39669809540.18498984790.29959475850.61746690381.08753054280.25837496820.4902501542.01371527130.71597434211.771.52028907761.4070491870.18219481020.29635443430.61478685341.08902935910.25635705950.4866435822.01649053970.71070720861.781.52555239891.41754624690.17943845730.2931450190.61211497971.09052633140.25436231180.48303994162.01926239390.70544435651.791.53078142421.42819021720.17672040840.28996638050.60945137191.09202127610.25239035840.4794399572.02203049370.7001868434

1.81.53597633481.43898205760.17404028040.2868183820.60679611651.09351401610.25044084070.47584433232.0247945110.69493569761.811.54113731241.44992274520.17139768890.28370088260.60414929741.09500438040.24851340760.47225375192.02755412940.68969191861.821.54626453961.46101327470.1687922480.28061373650.60151099561.09649220410.2466077150.46866888092.03030904370.68445647781.831.5513581991.47225465760.16622357090.27755679420.59888128981.09797732840.24472342640.46509036522.03305895950.67923031851.841.55641847391.48364792290.16369126950.27452990190.59626025571.09945960010.2428602120.46151883192.03580359340.6740143565

1.851.5614455481.49519411630.16119495540.27153290230.59364796681.10093887160.24101774890.45795488952.03854267190.66880948041.861.56643960531.50689430040.15873423940.26856563430.59104449381.10241500070.23919572060.45439912822.04127593180.66361655211.871.571400831.51874955440.15630873210.26562793320.58844990531.10388785030.23739381730.450852122.04400311950.65843640721.881.57632940661.53076097420.15391804420.26271963120.5858642671.10535728880.23561173520.44731441942.04672399070.65326985521.891.581225521.54292967190.1515617860.25984055720.58328764251.1068231890.23384917680.44378656322.04943831050.6481176804

1.91.58608935511.55525677630.14923956860.25699053720.58072009291.10828542890.23210585040.44026907122.05214585270.64298064171.911.59092109711.56774343230.14695100320.25416939420.57816167711.1097438910.23038147020.43676244612.05484639980.63785947331.921.59572093111.58039080090.14469570160.25137694860.57561245161.11119846240.22867575580.43326717422.05753974260.63275488531.931.60048904261.59320005920.14247327650.24861301810.57307247071.11264903440.22698843260.42978372522.060225680.62766756391.941.60522561691.60617240050.14028334140.24587741810.57054178651.11409550270.22531923120.42631255282.06290401890.6225981717

1.951.60993083941.61930903380.13812551080.24316996180.56802044871.11553776710.22366788740.42285409522.06557457370.61754734841.961.61460489551.63261118380.13599940050.24049045980.56550850521.11697573150.22203414220.41940877482.06823716640.6125157111.971.61924797061.64608009130.13390462750.23783872120.56300600161.11840930360.22041774140.41597699892.07089162610.60750385431.981.62386024991.65971701260.13184081030.23521455290.56051298151.11983839480.21881843580.41255915992.07353778880.60251235141.9821.62477902651.66246467020.13143172810.23469301050.56001551921.12012366780.21850060450.4118772982.07406601170.6015165422724.4992Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*2.001.63299316191.68750.12780452550.23004814580.55555555561.12268279880.21567013670.4057667892.07880460160.59259259262.011.63751416451.70164865660.12583130310.22750551260.55309122691.12409795250.21412066790.40239296972.0814249570.58766537742.021.64200511111.7159705080.12388752740.22498966070.55063653581.12550830690.21258734330.39903451322.08403642590.58276059842.031.64646618641.7304668880.12197282580.22250038940.54819151621.12691379080.21106993630.39569174142.08663887640.57787872562.041.65089757441.74513914590.12008682790.22003749650.54575619981.12831433610.20956822420.3923649632.08923218240.5730202101

2.051.65529945931.75998864620.11822916540.21760077890.54333061671.12970987790.20808198870.38905447372.09181622370.56818548362.061.65967202461.77501676860.11639947230.21519003250.54091479511.13110035410.20661101520.38576055642.09439088530.56337495942.071.66401545391.79022490840.11459738510.21280505210.53850876151.13248570560.20515509320.38248348192.09695605790.55858903282.081.66832993011.80561447560.11282254240.2104456320.53611254071.13386587610.20371401580.37922350852.09951163710.5538280812.091.67261563591.82118689560.11107458580.20811156540.53372615581.1352408120.202287580.37598088262.10205752370.5490924641

2.101.67687275361.83694360890.10935315890.20580264510.53134962811.13661046240.20087558640.37275583912.10459362340.54438252492.111.68110146511.85288607110.10765790850.20351866330.52898297731.13797477890.19947783910.36954860152.10711984660.539698592.121.6853019521.86901575290.10598848370.20125941190.52662622181.13933371550.19809414560.36635938212.10963610830.53504096932.131.68947439521.885334140.10434453650.1990246820.5242793781.14068722880.1967243170.36318838232.1121423280.53040995692.141.69361897531.9018427330.10272572180.19681426490.52194246111.14203527770.19536816750.36003579292.11463842950.5258058317

2.151.69773587251.91854304780.10113169730.19462795140.51961548451.14337782330.19402551470.35690179442.11712434080.52122885712.161.70182526631.93543661490.09956212350.19246553220.51729846051.14471482890.19269617930.3537865572.11959999420.51667928172.171.70588733571.95252498020.0980166640.19032679790.51499139961.146046260.1913799850.35069024132.12206532560.51215733992.181.70992225941.96980970420.09649498540.18821153920.51269431111.14737208420.19007675870.34761299782.12452027490.50766325192.191.71393021531.98729236240.09499675730.18611954680.51040720291.14869227110.18878633020.3445549682.1269647860.503197224

2.201.71791138082.00497454550.09352165220.18405061150.50813008131.15000679210.18750853210.3415162842.1293988060.49875944922.211.72186593272.02285785870.0920693460.18200452450.50586295161.15131562070.18624320.33849706912.13182228570.49435010752.221.72579404742.04094392250.09063951740.17998107690.50360581771.15261873220.18499017220.33549743762.13423517940.48996936612.231.72969590042.05923437220.08923184860.17798006050.5013586821.15391610370.18374928960.33251749562.13663744450.48561737972.241.73357166672.07773085780.08784602460.17600126720.49912154611.15520771380.1825203960.32955734082.13902904170.4812942909

2.251.73742152062.09643504450.08648173390.17404448950.49689440991.15649354310.18130333770.32661706272.14140993480.47700023082.261.7412456362.11534861230.08513866810.17210952020.49467727251.15777357350.18009796330.32369674312.14378009080.47273531852.271.74504418572.1344732560.08381652180.17019615290.49247013171.15904778890.17890412430.32079645622.14613947910.46849966252.281.74881734212.15381068540.08251499330.16830418160.4902729841.16031617430.17772167430.31791626862.14848807260.464293362.291.75256527692.17336262520.08123378380.16643340090.4880858251.16157871650.17655046960.31505623982.15082584640.460116498

2.301.75628816112.19313081520.07997259780.16458360620.48590864921.16283540350.17539036850.31221642212.15315277850.45596915292.311.75998616492.21311700990.07873114310.16275459360.48374144991.16408622480.17424123190.30939686122.15546884950.45185139132.321.76365945792.23332297860.07750913070.16094615980.48158421941.16533117120.17310292270.3065975962.15777404240.44776327012.331.76730820872.25375050610.07630627510.15915810260.47943694921.1665702350.17197530620.3038186592.16006834260.44370483662.341.77093258552.27440139150.07512229390.15739022030.47729962961.16780340940.17085824970.30106007632.1623517380.4396761292

2.351.77453275552.29527744930.07395690780.15564231250.47517224991.16903068920.16975162270.29832186812.16462421860.43567717722.361.77810888532.31638050890.07280984110.15391417930.47305479871.17025207020.16865529670.29560404852.16688577670.43170800142.371.78166114062.33771241450.07168082110.15220562190.47094726331.17146754930.16756914530.29290662622.16913640670.42776861422.381.78518968652.35927502560.07056957850.15051644260.46884963051.17267712460.16649304410.2902296042.17137610490.42385901992.391.7886946872.38107021640.06947584720.14884644450.46676188611.17388079530.16542687050.28757297942.173604870.4199792148Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*2.41.79217630572.40309987650.06839936430.1471954320.46468401491.17507856160.16437050390.28493674492.17582270220.41612918792.411.79563470512.42536591040.06733987020.14556321030.4626160011.17627042470.16332382570.28232088752.17802960380.41230892042.421.7990700472.44787023740.06629710860.14394958590.46055782761.17745638670.16228671890.27972538982.18022557890.40851838662.431.80248249252.47061479240.06527082610.14235436630.45850947741.1786364510.16125906850.27715022942.18241063320.40475755392.441.80587220162.49360152510.06426077280.14077736020.45647093191.17981062130.16024076110.27459537922.18458477430.4010263829

2.451.80923933372.51683240040.06326670180.13921837740.45444217221.18097890280.15923168510.2720608082.18674801130.39732482782.461.81258404742.54030939830.06228836960.1376772290.45242317851.18214130120.15823173060.269546482.18890035490.39365283642.471.81590650022.56403451410.06132553540.13615372720.45041393041.18329782320.15724078940.26705235542.19104181740.39001035072.481.81920684922.58800975830.0603779620.13464768560.44841440671.1844484760.1562587550.26457839052.19317241250.38639730662.491.82248525022.61223715670.05944541510.13315891880.44642458551.18559326790.15528552220.26212453742.19529215520.3828136345

2.51.82574185842.636718750.05852766350.13168724280.44444444441.18673220790.15432098770.25969074492.19740106230.37925925932.511.82897682812.66145659460.05762447890.13023247490.44247396041.18786530560.15336504950.25727695792.19949915150.37573410072.521.83219031272.68645276210.05673563650.12879443370.44051310971.18899257130.15241760740.2548831182.2015864420.37223807322.531.83538246492.71170933920.05586091410.1273729390.43856186791.1901140160.15147856230.25250916332.20366295410.36877108682.541.83855343642.73722842840.05500009260.12596781210.43662021031.19122965150.1505478170.25015502882.20572870950.3653330462

2.551.84170337792.76301214710.0541529560.12457887540.43468811131.19233948990.14962527530.24782064642.2077837310.36192385222.561.84483243962.78906262860.05331929130.12320595280.43276554491.19344354420.14871084280.2455059452.20982804230.35854340082.571.84794077062.81538202130.05249888820.12184886960.43085248471.19454182780.14780442610.24321085072.21186166840.35519158412.581.85102851912.84197248930.05169153960.12050745240.42894890361.19563435480.14690593340.24093528672.21388463540.351868292.591.85409583242.8688362120.0508970410.11918152910.4270547741.19672113980.14601527420.23867917362.21589697010.3485734026

2.61.85714285712.89597538460.05011519090.1178709290.4251700681.19780219780.14513235930.23644242972.21789870060.34530680242.611.86016973892.92339221780.04934579070.1165754830.42329475711.19887754440.14425710060.23422497062.21988985560.34206836632.621.86317662252.95108893770.04858864460.1152950230.42142881221.19994719570.14338941160.23202670972.22187046490.33885796772.631.86616365172.97906778640.04784355940.11402938270.41957220421.20101116820.14252920670.22984755822.22384055920.33567547692.641.86913096963.00733102140.0471103450.1127783970.41772490311.2020694790.14167640180.2276874252.22580016990.3325207611

2.651.87207871833.03588091610.04638881360.11154190220.41588687881.20312214530.14083091380.22554621722.22774932920.32939368432.661.8750070393.06471975950.04567878040.1103197360.41405810061.20416918510.13999266080.22342383972.22968807010.32629410792.671.87791607213.09384985650.04498006320.10911173770.41223853771.20521061650.13916156210.22132019592.23161642630.32322189062.681.8808059573.12327352780.04429248250.10791774770.41042815871.20624645810.13833753810.21923518712.23353443230.32017688852.691.88367683253.15299310980.04361586130.10673760820.40862693181.20727672890.13752051030.21716871322.23544212320.3171589551

2.71.88652883623.18301095510.04295002540.10557116250.40683482511.20830144820.13671040140.21512067222.23733953470.31416794162.711.88936210493.21332943190.04229480290.10441825530.40505180611.20932063570.1359071350.21309096092.23922670310.31120369732.721.89217677463.24395092460.04165002460.10327873310.40327784231.21033431120.1351106360.21107947452.24110366550.30826606912.731.89497298043.27487783360.04101552390.10215244350.40151290061.21134249510.134320830.20908610682.24297045930.3053549022.741.89775085653.30611257510.04039113640.10103923540.39975694781.21234520790.13353764390.20711075042.24482712270.3024700391

2.751.90051053633.33765758170.03977670030.09993895960.39800995021.21334247050.13276100540.20515329682.24667369410.29961132192.761.90325215223.36951530190.03917205640.09885146780.39627187421.21433430390.13199084350.20321363612.24851021280.29677858992.771.90597583583.40168820050.03857704760.09777661340.39454268561.21532072960.13122708780.20129165762.25033671820.29397168142.781.90868171783.43417875840.03799151940.09671425120.392822351.21630176910.1304696690.19938724932.25215325040.29119043312.791.91136992813.46698947280.03741531950.09566423720.3911108331.21727744420.12971851890.19750029872.25395984970.2884346802Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*2.81.91404059573.50012285710.03684829790.09462642910.38940809971.21824777710.12897356990.19563069192.25575655710.28570425692.811.91669384863.53358144120.03629030710.09360068580.38771411511.219212790.12823475550.19377831472.25754341370.2829989962.821.91932981423.56736777120.03574120140.09258686750.38602884411.22017250530.12750201010.19194305172.25932046110.28031872912.831.92194861873.60148440960.03520083790.09158483610.38435225121.22112694570.1267752690.1901247872.26108774140.27766328722.841.92455038793.63593393540.03466907550.09059445470.38268430081.2220761340.12605446830.18832340432.26284529660.2750325

2.851.92713524623.67071894410.03414577550.08961558770.38102495711.22302009330.12533954480.18653878622.26459316960.27242619642.861.92970331763.70584204780.0336308010.0886481010.37937418431.22395884660.12463043650.18477081532.2663314030.26984420472.871.9322547253.7413058750.03312401770.08769186190.37773194631.22489241740.12392708180.18301937332.26806004020.26728635232.881.93478959053.77711307080.03262529290.08674673880.37609820681.2258208290.12322942030.18128434162.26977912440.2647524662.891.93730803543.81326629720.03213449640.08581260190.37447292941.2267441050.12253739210.17956560152.27148869940.2622423723

2.91.93981018013.84976823280.03165149970.08488932220.37285607761.22766226910.12185093810.17786303362.2731888090.25975589692.911.94229614423.88662157270.03117617650.08397677260.37124761471.22857534520.12117000030.17617651822.27487949740.25729286512.921.94476604643.92382902920.03070840250.0830748270.36964750411.22948335720.1204945210.17450593572.27656080880.25485310212.931.94722000473.96139333110.0302480550.08218336060.36805570891.2303863290.11982444350.1728511662.27823278770.25243643242.941.9496581363.99931722420.02979501380.081302250.36647219211.23128428480.11915971190.1712120892.27989547890.2500426808

2.951.95208055684.03760347130.02934916010.08043137330.36489691661.23217724890.11850027080.16958858422.2815489270.24767167142.961.95448738244.0762548520.02891037730.07957060960.36332984541.23306524550.11784606560.16798053152.28319317720.24532322842.971.95687872734.1152741630.02847855040.07871983940.36177094111.23394829890.11719704250.16638781022.28482827440.2429971762.981.95925470544.15466421820.02805356640.07787894450.36022016661.23482643360.11655314830.16481032.28645426380.24069333832.991.96161542964.19442784820.0276353140.0770478080.35867748441.2356996740.11591433050.16324788062.28807119090.2384115394

3.001.96396101214.23456790120.02722368370.07622631440.35714285711.23656804470.11528053720.16170043142.2896791010.23615160353.101.98660814194.65731060480.02344872640.06851717860.34223134841.24498933770.10920800220.14702293112.30527230560.21471619243.202.00785857645.12095750.02022775250.06165418960.32808398951.25295081090.10358546080.13371160692.32001408950.19527598113.302.02781166255.6286468420.01747677820.05554120120.31466331031.26047705340.09837061250.12165116692.33394998270.17766259423.402.04655950256.18369882350.01512459840.05009266990.30193236711.26759221780.09352596130.11073169572.34712470710.1617155086

3.502.06418738626.78962053570.013110920.0452326740.28985507251.27431976390.08901817160.10084973862.35958170190.14728363613.602.08077422637.45011102880.01138473310.04089396110.27839643651.28068228490.08481752530.09190889292.37136280150.13422618753.702.09639298888.16906645270.00990290150.03701704590.26752273941.28670139430.08089746060.08382003752.38250802650.12241300843.802.11111111118.95058526320.0086289530.03354936920.25720164611.29239766080.07723417950.07650130542.39305546260.11172453763.902.12499090439.79897348170.00753204520.03044452670.24740227611.29779057690.07380631120.06987787632.40304120290.1020515059

4.002.138089935310.718750.00658608730.02766156670.23809523811.30289855430.07059462330.06388165192.41249933910.09329446064.102.150461388111.71465192070.00576899530.02516435750.22925263641.30773893750.0675817720.0584508582.42146198720.08536318514.202.162154402612.79163992950.00506206290.02292102080.22084805651.31232803120.06475208580.05352960682.42995933760.07817605924.302.173214391613.95490369190.00444943080.02090342590.21285653471.31668113690.06209137830.04906744412.43801972310.07165939824.402.183683334715.20986727270.003917640.01908674190.20525451561.32081259550.05958678390.04501889752.4456696980.0657467933

4.502.19360005216.5621945730.00345525560.01744904070.1980198021.32473583390.05722661520.0413430392.45293412380.06037847194.602.20300045618.01779478260.0030525510.01597094680.19113149851.3284634130.05500023720.03800306672.45983625910.05550068764.702.211917785119.58282784570.0027012420.01463532930.1845699521.33200707720.05289795750.03496591312.46639785030.05106514794.802.220382817721.26370993830.00239426370.01342703090.17831669041.33537780290.0509109290.0322018812.47263922140.047028482Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k = 1.4

MM*4.92.228424070223.06711895410.00212558250.01233262960.17235436061.33858584560.04903106420.02968430772.47857936220.043351751152.2360679775250.00189003840.01134023030.16666666671.34164078650.04725095950.02738925832.48423601360.0462.29527616753.17978395060.00063336130.00519356260.12195121951.36547679380.03368201660.01287578482.5283717230.018804138172.3333333333104.14285714290.00024155550.0026087990.09259259261.3809523810.02515627560.00657492482.55702694220.009602194882.3590712985190.1093750.00010242910.00141352110.07246376811.39148346120.0194727250.00360177642.57652671380.005260129992.3772174471327.18930041150.0000473860.00081503990.05813953491.39893866230.0155042060.00209276852.59033106380.0030563347102.3904572187535.93750.00002356310.00049482510.04761904761.4043936160.01262835010.0012776332.60043167530.001865889200001.4289002.64580

k =1.40.790.81597377211.0425050.6625360.7452340.88903113391.02075167960.69069713680.65681342321.89006484370.9592277631Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ b ]k = 1

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ b ]k = 1

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ c ]k = 1.1

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ c ]k = 1.1

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ d ]k = 1.2

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ d ]k = 1.2

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ e ]k = 1.3

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ e ]k = 1.3

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ f ]k = 1.67

MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ f ]k = 1.67

MM*

ONDA DE CHOQUETabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy1.001.000001.000001.000001.000001.00000001.89292921.010.990131.023451.016691.006640.99999871.91521441.020.980521.047131.033441.013250.99999001.93789661.030.971151.071051.050241.019810.99996701.96096831.040.962031.095201.067091.026340.99992331.9844225

1.050.953131.119581.083981.032840.99985302.00825291.060.944451.144201.100921.039310.99975072.03245321.070.935981.169051.117901.045750.99961152.05701801.080.927711.194131.134921.052170.99943072.08194191.090.919651.219451.151991.058560.99920422.1072199

1.100.911771.245001.169081.064940.99892802.13284741.110.904081.270781.186211.071290.99859872.15882001.120.896561.296801.203381.077630.99821312.18513371.130.889221.323051.220571.083960.99776812.21178461.140.882041.349531.237791.090270.99726112.2387690

1.150.875021.376251.255041.096580.99668982.26608351.160.868161.403201.272311.102870.99605182.29372501.170.861451.430381.289611.109160.99534542.32169031.180.854881.457801.306931.115440.99456862.34997671.190.848461.485451.324261.121720.99372012.3785813

1.200.842171.513331.341611.127990.99279842.40750161.210.836011.541451.358981.134270.99180232.43673531.220.829991.569801.376361.140540.99073092.46627991.230.824081.598381.393761.146820.98958332.49613341.240.818301.627201.411161.153090.98835882.5262936

1.250.812641.656251.428571.159380.98705682.55675861.260.807091.685531.445991.165660.98567682.58752651.270.801641.715051.463411.171950.98421872.61859571.280.796311.744801.480841.178250.98268222.64996431.290.791081.774781.498271.184560.98106712.6816308

1.300.785961.805001.515701.190870.97937362.71359361.310.780931.835451.533121.197200.97760182.74585141.320.776001.866131.550551.203530.97575192.77840281.330.771161.897051.567971.209880.97382422.81124631.340.766411.928201.585381.216240.97181912.8443809

1.350.761751.959581.602781.222610.96973712.87780521.360.757181.991201.620181.229000.96757872.91151821.370.752692.023051.637571.235400.96534452.94551871.380.748292.055131.654941.241810.96303522.97980581.390.743962.087451.672311.248250.96065163.0143783

Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy

1.400.739712.120001.689661.254690.95819443.04923541.410.735542.152781.706991.261160.95566453.08437621.420.731442.185801.724301.267640.95306293.11979971.430.727412.219051.741601.274140.95039033.15550521.440.723452.252531.758881.280660.94764793.1914918

1.450.719562.286251.776141.287200.94483673.22775891.460.715742.320201.793371.293770.94195773.26430551.470.711982.354381.810581.300350.93901203.30113111.480.708292.388801.827771.306950.93600083.33823491.490.704662.423451.844931.313570.93292533.3756163

1.500.701092.458331.862071.320220.92978653.41327481.510.697582.493451.879181.326880.92658583.45120961.520.694132.528801.896261.333570.92332443.48942021.530.690732.564381.913311.340290.92000343.52790611.540.687392.600201.930331.347030.91662433.5666667

1.550.684102.636251.947321.353790.91318833.60570151.560.680872.672531.964271.360570.90969663.64501001.570.677682.709051.981191.367380.90615073.68459181.580.674552.745801.998081.374220.90255173.72444631.590.671472.782782.014931.381080.89890113.7645732

1.600.668442.820002.031751.387970.89520033.80497201.610.665452.857452.048521.394880.89145043.84564241.620.662512.895132.065261.401820.88765293.88658381.630.659622.933052.081971.408790.88380923.92779601.640.656772.971202.098631.415780.87992063.9692786

1.650.653963.009582.115251.422800.87598844.01103121.660.651193.048202.131831.429850.87201404.05305341.670.648473.087052.148361.436930.86799874.09534511.680.645793.126132.164861.444030.86394394.13790571.690.643153.165452.181311.451170.85985094.1807351

1.700.640543.205002.197721.458330.85572114.22383291.710.637983.244782.214081.465520.85155574.26719881.720.635453.284802.230401.472740.84735624.31083261.730.632963.325052.246671.479990.84312374.35473401.740.630513.365532.262891.487270.83885974.3989027

1.750.628093.406252.279071.494580.83456544.44333851.760.625703.447202.295201.501920.83024214.48804121.770.623353.488382.311281.509290.82589104.53301041.780.621043.529802.327311.516690.82151344.57824611.790.618753.571452.343291.524120.81711064.6237478

Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy1.800.616503.613332.359221.531580.81268384.66951561.810.614283.655452.375101.539070.80823424.71554901.820.612093.697802.390931.546590.80376304.76184801.830.609933.740382.406711.554150.79927154.80841241.840.607803.783202.422441.561730.79476074.8552419

1.850.605703.826252.438111.569350.79023194.90233631.860.603633.869532.453731.577000.78568624.94969561.870.601583.913052.469301.584680.78112474.99731951.880.599573.956802.484811.592390.77654855.04520781.890.597584.000782.500271.600140.77195885.0933604

1.900.595624.045002.515681.607920.76735665.14177721.910.593684.089452.531031.615730.76274305.19045791.920.591774.134132.546331.623570.75811905.23940251.930.589884.179052.561571.631440.75348575.28861081.940.588024.224202.576751.639350.74884415.3380826

1.950.586184.269582.591881.647290.74419515.38781781.960.584374.315202.606951.655270.73953985.43781641.970.582584.361052.621961.663280.73487905.48807811.980.580474.416382.639911.672930.72928045.54873931.990.579074.453452.651821.679390.72554525.5893904

2.000.577354.500002.666671.687500.72087395.64044082.010.575654.546782.681451.695640.71620085.6917539464.36138972342.020.573974.593802.696181.703820.71152695.74332962.030.572314.641052.710851.712030.70685305.79516772.040.570684.688532.725461.720270.70217995.8472682

2.050.569064.736252.740021.728550.69750845.89963092.060.567474.784202.754511.736860.69283945.95225582.070.565894.832382.768951.745210.68817376.00514272.080.564334.880802.783321.753590.68351196.05829162.090.562804.929452.797641.762000.67885486.1117024

2.100.561284.978332.811901.770450.67420326.16537502.110.559785.027452.826101.778930.66955786.21930922.120.558295.076802.840241.787450.66491936.27350502.130.556835.126382.854321.796010.66028836.32796242.140.555385.176202.868351.804590.65566556.3826812

2.150.553955.226252.882311.813220.65105166.43766142.160.552545.276532.896211.821880.64644726.49290282.170.551155.327052.910051.830570.64185296.54840552.180.549775.377802.923831.839300.63726926.60416932.190.548405.428782.937561.848060.63269696.6601942

Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy2.200.547065.480002.951221.856860.62813636.71648012.210.545725.531452.964821.865690.62358826.77302692.220.544415.583132.978371.874560.61905296.82983462.230.543115.635052.991851.883470.61453116.88690302.240.541825.687203.005271.892410.61002326.9442322

2.250.540555.739583.018631.901380.60552977.00182212.260.539305.792203.031941.910400.60105117.05967262.270.538055.845053.045181.919440.59658797.11778372.280.536835.898133.058361.928530.59214047.17615522.290.535615.951453.071491.937650.58770917.2347872

2.300.534416.005003.084551.946800.58329457.29367962.310.533226.058783.097551.955990.57889697.35283242.320.532056.112803.110491.965220.57451677.41224542.330.530896.167053.123381.974480.57015437.47191862.340.529746.221533.136201.983780.56581007.5318521

2.350.528616.276253.148971.993110.56148427.59204572.360.527496.331203.161672.002490.55717737.65249932.370.526386.386383.174322.011890.55288947.71321302.380.525286.441803.186902.021340.54862117.77418672.390.524196.497453.199432.030820.54437257.8354204

2.400.523126.553333.211902.040330.54014397.89691402.410.522066.609453.224302.049880.53593567.95866742.420.521006.665803.236652.059470.53174798.02068072.430.519966.722383.248942.069100.52758118.08295372.440.518946.779203.261172.078760.52343538.1454865

2.450.517926.836253.273352.088460.51931078.20827902.460.516916.893533.285462.098190.51520778.27133122.470.515926.951053.297522.107970.51112648.33464302.480.514937.008803.309512.117770.50706718.39821442.490.513957.066783.321452.127620.50302988.4620454

2.500.512997.125003.333332.137500.49901488.52613592.510.512037.183453.345162.147420.49502238.59048592.520.511097.242133.356922.157370.49105238.65509532.530.510157.301053.368632.167370.48710528.71996422.540.509237.360203.380282.177390.48318098.7850925

2.550.508317.419583.391872.187460.47927978.85048012.560.507417.479203.403412.197560.47540168.91612712.570.506517.539053.414892.207700.47154688.98203342.580.505627.599133.426312.217880.46771539.04819902.590.504747.659453.437672.228090.46390749.1146238

Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy

2.600.503877.720003.448982.238340.46012309.18130782.610.503017.780783.460232.248630.45636239.24825102.620.502167.841803.471432.258960.45262539.31545342.630.501317.903053.482572.269320.44891209.38291492.640.500487.964533.493652.279720.44522279.4506355

2.650.499658.026253.504682.290150.44155739.51861522.660.498838.088203.515652.300630.43791589.58685402.670.498028.150383.526572.311140.43429839.65535182.680.497228.212803.537432.321680.43070499.72410862.690.496428.275453.548242.332270.42713569.7931245

2.700.495638.338333.558992.342890.42359039.86239922.710.494858.401453.569692.353550.42006919.93193302.720.494088.464803.580332.364250.416572110.00172562.730.493328.528383.590922.374980.413099210.07177722.740.492568.592203.601462.385760.409650410.1420876

2.750.491818.656253.611942.396570.406225810.21265692.760.491078.720533.622372.407410.402825310.28348502.770.490338.785053.632742.418300.399448810.35457202.780.489608.849803.643072.429220.396096510.42591772.790.488888.914783.653342.440180.392768110.4975222

2.800.488178.980003.663552.451170.389463910.56938552.810.487469.045453.673722.462210.386183610.64150752.820.486769.111133.683832.473280.382927210.71388832.830.486069.177053.693892.484390.379694810.78652772.840.485389.243203.703892.495540.376486310.8594259

2.850.484699.309583.713852.506720.373301510.93258272.860.484029.376203.723752.517940.370140511.00599822.870.483359.443053.733612.529200.367003311.07967232.880.482699.510133.743412.540500.363889611.15360502.890.482039.577453.753162.551830.360799611.2277964

2.900.481389.645003.762862.563210.357733011.30224632.910.480739.712783.772512.574620.354690011.37695482.920.480109.780803.782112.586070.351670211.45192182.930.479469.849053.791672.597550.348673811.52714742.940.478849.917533.801172.609080.345700611.6026316

2.950.478219.986253.810622.620640.342750511.67837422.960.4776010.055203.820022.632240.339823411.75437542.970.4769910.124383.829372.643870.336919311.83063502.980.4763810.193803.838682.655550.334038111.90715312.990.4757810.263453.847942.667260.331179711.9839297

Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy

3.000.4751910.333333.857142.679010.328343912.06096473.500.4511514.125004.260873.315050.212947616.24200094.000.4349618.500004.571434.046880.138756221.06808104.500.4235523.458334.811884.875090.091697926.53866515.000.4152329.000005.000005.800000.061716332.6534743

6.000.4041641.833335.268297.940590.029650946.81520577.000.3973657.000005.4444410.469390.015351563.55262638.000.3928974.500005.5652213.386720.008487882.86546819.000.3898094.333335.6511616.692730.0049639104.753604410.000.38758116.500005.7142920.387500.0030448129.2169684Tabla 2

Choque normal unidimensional de un gas perfecto( Calor especfico y peso molecular constantes )

k =1.0MxMy

1.001.051.101.151.20

1.251.301.351.401.45

1.501.551.601.651.70

1.751.801.851.901.95

2.002.052.102.152.20

2.252.302.352.402.45

2.502.552.602.652.70

2.752.802.852.902.95

3.003.503.504.004.505.00

6.007.008.009.0010.00

FANNOTabla 2

Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )

k =1.4M

01.200000.011.19998109.543416072457.8738437134.40453815860.021.1999054.770064991728.9421301778.44988189930.031.1997836.511551275319.300542787.08138717510.041.1996227.381747146114.481486440.3522142499

0.051.1994021.903427127711.591444280.02030611540.061.1991418.25084945999.665910193.03108159760.071.1988315.64155344448.291525140.65501357750.081.1984713.68430878087.261610106.71821578860.091.1980612.16176534556.46134283.496117217

0.101.1976010.94351310335.82182966.92156002980.111.197109.94656388495.29923054.68789548850.121.196559.11559227634.86431845.40796199490.131.195968.41229609724.49685938.20700310860.141.195317.80931667454.18240032.51130598

0.151.194627.28659100643.91034327.93196747320.161.193896.82907186523.67273924.19783002170.171.193106.42525256923.46350921.1151782430.181.192276.06618349743.27792618.54265446970.191.191405.74479917923.11225916.37516366

0.21.190485.45544725592.96352014.5332664820.211.189515.1935520262.82929412.95602188330.221.188504.95536974982.70760211.59605442560.231.187444.73780778792.59681210.41608993880.241.186334.53828895572.4955629.3864805326

0.251.185194.35464843162.4027108.4834088410.261.183994.18505445672.3172877.68756658350.271.182764.02794665612.2384716.98316953180.281.181473.88198757762.1655546.35721448590.291.180153.74602425642.0979285.7989126446

0.31.178783.61905746682.0350655.29925310510.311.177373.50021692611.9765074.85066344370.321.175923.38874114631.9218514.44674347340.331.174423.28396095061.8707454.08205469960.341.172883.18528589741.8228763.7519525525

0.351.171303.09219303291.7779693.45245174930.361.169683.00421751711.7357783.18011752260.371.168022.92094477091.6960862.9319771890.381.166322.84200386231.6586962.70544783070.391.164572.76706191061.6234332.4982768203Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

0.401.162792.69581933011.5901402.30849265080.411.160972.6280057691.5586732.13436408120.421.159112.56337662961.5289051.97436602870.431.157212.50171007331.5007181.82715096760.441.155272.4428044341.4740051.6915248402

0.451.153292.3864759771.4486721.56642668710.461.151282.33255694921.4246291.45091135460.471.149232.28089387931.4017951.34413476050.481.147142.23134609011.3800971.24534129450.491.145022.18378439211.3594681.1538530088

0.501.142862.13808993531.3398441.06906031270.511.140662.09415319521.3211680.9904139390.521.138432.05187307581.3033880.91741798580.531.136172.01115611471.2864540.84962387430.541.133871.97191577581.2703210.7866250861

0.551.131541.93407181971.2549480.72805256880.561.129181.89754974131.2402940.67357071340.571.126781.86228026681.2263260.62287382490.581.124351.82819890251.2130070.5756830180.591.121891.79524552961.2003080.53174348

0.601.119401.76336403961.1882000.49082205270.611.116881.73250200551.1766540.4527050920.621.114331.70261038451.1656460.41719656860.631.111751.67364324971.1551510.38411637960.641.109141.64555754641.1451480.3532988451

0.651.106501.61831287091.1356160.32459136670.661.103831.59187126991.1265350.29785322810.671.101141.56619705741.1178870.27295452220.681.098421.54125664761.1096550.24977518750.691.095671.51701840321.1018220.2282041436

0.701.092901.49345249571.0943730.20813851250.711.090101.47053077791.0872940.18948291780.721.087271.44822666741.0805710.17214885160.731.084421.42651503911.0741920.15605410240.741.081551.40537212661.0681440.1411222379

0.751.078651.38477543171.0624170.12728213570.761.075731.36470364091.0569990.11446755770.771.072791.34513654811.0518810.10261676360.781.069821.3260549841.0470530.09167215850.791.066841.30744075011.0425050.08157997341.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!MERROR:#VALUE!ERROR:#VALUE!ERROR:#VALUE!ERROR:#VALUE!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!0.801.063831.28927655781.0382300.07228997240.811.060801.27154597281.0342190.06375518580.821.057751.2542333621.0304640.0559316670.831.054691.23732384631.0269590.04877826890.841.051601.22080325451.0236960.0422564397

0.851.048491.20465808251.0206690.03633003560.861.045371.18887545391.0178710.03096514890.871.042231.17344308421.0152970.02612995020.881.039071.1583492471.0129410.02179454260.891.035891.14358274251.0107980.0179308287

0.901.032701.12913286821.0088630.01451238690.911.029501.11498939171.0071310.01151435820.921.026271.10114252511.0055970.00891334080.931.023041.08758290071.0042580.00668729390.941.019781.0743015491.0031080.0048154479

0.951.016521.06128987761.0021450.00327822110.961.013241.04853965131.0013650.00205714390.971.009951.03604297391.0007630.0011347870.981.006641.02379227081.0003370.00049469550.991.003331.01178027261.0000840.0001213281

1.001.0000011.00000001.010.996660.98844474921.0000830.000116831.020.993310.97710807861.0003300.00045869141.030.989950.96598379571.0007380.00101316641.040.986580.95506594531.0013050.0017685033

1.050.983200.94434879841.0020290.00271357691.060.979820.93382684111.0029070.00383785141.070.976420.92349476451.0039380.00513134591.080.973020.91334745551.0051190.00658460221.090.969600.90337998781.0064490.0081886542

1.100.966180.89358761311.0079250.00993500031.110.962760.8839657531.0095470.01181557681.120.959320.87450999191.0113120.01382273291.130.955890.86521606931.0132190.01594920811.140.952440.85607987311.0152670.0181881101

1.150.948990.84709743331.0174540.02053289471.160.945540.83826491551.0197800.02297734681.170.942080.82957861551.0222420.02551556211.180.938610.82103495341.0248400.02814193111.190.935150.81263046871.0275730.0308511223Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

1.200.931680.80436181511.0304400.03363806831.210.928200.79622575571.0334400.03649795131.220.924730.78821915861.0365720.039426191.230.921250.78033899281.0398350.04241842751.240.917770.77258232381.0432290.0454705195

1.250.914290.764946311.0467530.04857852341.260.910800.75742819861.0504060.05173868771.270.907320.75002532281.0541890.05494744281.280.903830.74273509761.0581000.05820139141.290.900350.73555501731.0621380.0614972996

1.300.896860.7284826521.0663050.06483208941.310.893380.7215156451.0705980.06820283041.320.889890.71465170971.0750180.07160673271.330.886410.70788862731.0795650.075041141.340.882920.70122424411.0842390.0785035228

1.350.879440.69465646911.0890380.08199147261.360.875960.68818327161.0939640.08550269591.370.872490.68180267921.0990150.08903500851.380.869010.67551277541.1041930.09258633041.390.865540.66931169781.1094960.096154681

1.400.862070.66319763631.1149260.09973817381.410.858600.65716883091.1204810.10333501281.420.855140.65122357021.1261620.10694348741.430.851680.64536018931.1319690.11056196891.440.848220.63957706881.1379030.1141889066

1.450.844770.63387263291.1439630.1178228241.460.841330.62824534771.1501500.12146231581.470.837880.62269372021.1564630.12510604381.480.834450.61721629671.1629040.12875273491.490.831010.61181166121.1694710.1324011771

1.500.827590.60647843491.1761670.13605021741.510.824160.60121527411.1829910.13969875881.520.820750.59602086981.1899430.14334575811.530.817340.59089394591.1970240.14699022281.540.813930.58583325871.2042340.1506312097

1.550.810540.58083759561.2115740.15426782191.560.807150.5759057741.2190440.15789920731.570.803760.57103664061.2266440.16152455641.580.800380.56622907011.2343760.16514310021.590.797010.5614819651.2422390.1687541087Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

1.60.793650.5567942541.2502350.17235688931.610.790300.55216489151.2583640.17595078461.620.786950.54759285691.2666260.17953517141.630.783610.54307715371.2750220.18310945881.640.780270.53861680891.2835530.1866730872

1.650.776950.53421087221.2922190.19022552661.660.773630.52985841521.3010210.19376627551.670.770330.52555853091.3099600.19729485941.680.767030.52131033331.3190370.20081082991.690.763740.51711295621.3282520.2043137636

1.70.760460.51296555321.3376060.20780326071.710.757180.50886729671.3471000.21127894441.720.753920.50481737771.3567350.21474045941.730.750670.50081500491.3665110.21818747151.740.747420.49685940481.3764300.2216196662

1.750.744190.49294982041.3864920.22503674841.760.740960.48908551121.3966980.22843844111.770.737740.4852657531.4070490.23182448471.780.734540.48148983681.4175460.23519463641.790.731340.47775706881.4281900.2385486695

1.80.728160.474066771.4389820.24188637251.810.724980.47041827551.4499230.24520754851.820.721810.46681093451.4610130.2485120151.830.718660.46324410971.4722550.25179960241.840.715510.45971717681.4836480.2550701544

1.850.712380.45622952461.4951940.25832352661.860.709250.45278055421.5068940.26155958681.870.706140.44936967891.5187500.26477821371.880.703040.44599632371.5307610.26797929681.890.699950.44265992551.5429300.2711627362

1.90.696860.43935993221.5552570.27432844141.910.693790.43609580251.5677430.27747633181.920.690730.43286700611.5803910.28060633551.930.687690.42967302281.5932000.28371838921.940.684650.42651334281.6061720.2868124381

1.950.681620.4233874661.6193090.28988843511.960.678610.4202949021.6326110.29294634061.970.675610.41723516981.6460800.29598612231.980.672620.41420779761.6597170.29900775481.990.669640.41121232261.6735230.302011219Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

2.000.666670.40824829051.6875000.30499650262.010.663710.40531525571.7016490.30796359882.020.660760.40241278091.7159710.31091250672.030.657830.39954043691.7304670.3138432312.040.654910.39669780241.7451390.3167557815

2.050.652000.39388446381.7599890.3196501732.060.649100.39110001521.7750170.32252642492.070.646210.38834405791.7902250.32538456142.080.643340.38561620061.8056140.32822461092.090.640470.38291605871.8211870.3310466058

2.100.637620.38024325481.8369440.33385058272.110.634780.37759741811.8528860.33663658152.120.631950.37497818441.8690160.33940464612.130.629140.37238519591.8853340.34215482362.140.626330.3698181011.9018430.3448871642

2.150.623540.36727655441.9185430.34760172132.160.620760.36476021651.9354370.35029855122.170.617990.3622687541.9525250.3529777132.180.615230.35980183891.9698100.35563926822.190.612490.35735914921.9872920.3582832809

2.200.609760.35494036792.0049750.36090981782.210.607040.35254518392.0228580.36351894742.220.604330.3501732912.0409440.36611074062.230.601630.34782438832.0592340.36868527022.240.598950.34549817972.0777310.371242611

2.250.596270.34319437442.0964350.37378283922.260.593610.34091268622.1153490.37630603322.270.590960.33865283352.1344730.37881227262.280.588330.33641453952.1538110.38130163862.290.585700.33419753192.1733630.3837742138

2.300.583090.33200154272.1931310.38623008222.310.580490.32982630852.2131170.38866932892.320.577900.32767156992.2333230.39109204012.330.575320.32553707172.2537510.39349830322.340.572760.32342256292.2744010.3958882066

2.350.570210.32132779642.2952770.39826183952.360.567670.3192525292.3163810.4006192922.370.565140.31719652132.3377120.4029606552.380.562620.31515953792.3592750.40528602032.390.560110.31314134682.3810700.407595481.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!MERROR:#VALUE!ERROR:#VALUE!ERROR:#VALUE!ERROR:#VALUE!1.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!2.40.557620.31114171972.4031000.40988912732.410.555140.3091604322.4253660.41216705542.420.552670.30719726232.4478700.41442935852.430.550210.30525199282.4706150.4166761312.440.547770.3033244092.4936020.4189074677

2.450.545330.30141429972.5168320.42112346392.460.542910.29952145672.5403090.42332421512.470.540500.29764567532.5640350.42550981722.480.538100.29578675362.5880100.4276803662.490.535710.29394449292.6122370.429835958

2.50.533330.29211869732.6367190.43197668942.510.530970.29030917412.6614570.43410265682.520.528620.28851573332.6864530.43621395682.530.526270.28673818762.7117090.43831068612.540.523940.28497635262.7372280.4403929412

2.550.521630.28323004662.7630120.44246081892.560.519320.28149909052.7890630.44451441572.570.517020.27978330792.8153820.44655382832.580.514740.27808252492.8419720.44857915312.590.512470.27639657022.8688360.4505904864

2.60.510200.27472527472.8959750.45258792452.610.507950.27306847212.9233920.45457156332.620.505710.27142599832.9510890.45654149882.630.503490.26979769142.9790680.45849782652.640.501270.26818339213.0073310.460440642

2.650.499060.26658294313.0358810.46237004032.660.496870.26499618963.0647200.46428611642.670.494690.26342297863.0938500.4661889652.680.492510.26186315953.1232740.46807868022.690.490350.26031658393.1529930.4699553562

2.70.488200.25878310513.1830110.47181908662.710.486060.25726257883.2133290.47366996482.720.483930.25575486253.2439510.47550808372.730.481820.25425981573.2748780.47733353612.740.479710.25277729993.3061130.479146414

2.750.477610.25130717843.3376580.48094680932.760.475530.24984931633.3695150.48273481362.770.473450.24840358093.4016880.48451051772.780.471390.24696984083.4341790.48627401242.790.469330.24554796683.4669890.48802538771.20000ERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

2.80.467290.24413783113.5001230.48976473342.810.465260.24273930783.5335810.49149213882.820.463230.24135227283.5673680.49320769272.830.461220.23997660343.6014840.49491148342.840.459220.23861217863.6359340.4966035988

2.850.457230.23725887923.6707190.49828412642.860.455250.23591658733.7058420.4999531532.870.453280.23458518683.7413060.5016107652.880.451320.23326456293.7771130.50325704852.890.449370.23195460253.8132660.5048920888

2.90.447430.23065519383.8497680.50651597092.910.445500.22936622673.8866220.50812877922.920.443580.22808759223.9238290.50973059772.930.441670.22681918313.9613930.51132150962.940.439770.22556089323.9993170.512901598

2.950.437880.22431261784.0376030.51447094512.960.436000.22307425384.0762550.51602963282.970.434130.22184569914.1152740.51757774252.980.432260.2206268534.1546640.51911535482.990.430410.21941761614.1944280.5206425502

3.000.428570.21821789024.2345680.52215940823.100.410680.20672301164.6573110.53677659453.200.393700.19607993915.1209580.55044378313.300.377600.18620860085.6286470.56323191093.400.362320.17703801926.1836990.5752067218

3.500.347830.16850509276.7896210.58642897743.600.334080.16055356687.4501110.59695472183.700.321030.15313316218.1690660.60683557393.800.308640.14619883048.9505850.616119033.900.296880.13971011869.7989730.6248487661

4.000.285710.13363062110.7187500.63306493184.100.275100.127927506711.7146520.64080443114.200.265020.122571111312.7916400.64810118734.300.255430.117534580413.9549040.6549863914.400.246310.112793560715.2098670.6614887303

4.500.237620.108325928516.5621950.66763460324.600.229360.104111552718.0177950.67344831344.700.221480.100132086219.5828280.67895224954.800.213980.09637078221.2637100.6841670495

Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M

4.90.206830.092812331123.0671190.689111750350.200000.089442719125.0000000.693803924960.146340.063757671353.1797840.729875276470.111110.0476190476104.1428570.75280216380.086960.036860489190.1093750.768191612690.069770.0293483635327.1893000.7789851944100.057140.0239045722535.9375000.7868308329f L / DA2.67857140.000000122.35387066450.08140322362.2724674409K =1.28930.790.411.11747778452.57831272681.5716403922.3538706645p* =120233.669398049ps/p* =1.03964222860.81.0476616731.62177989781.03968789880.08140322360.80.73529411761.07186615711.0718661571ERROR:#DIV/0!MMMMMMMMMM

RAYLEIGH