ejercicios para la 2 practica de mecanica fluidos

7/25/2019 Ejercicios Para La 2 Practica de Mecanica Fluidos

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UNIVERSIDAD POLITCNICA DEL GOLFO DE MXICO

CARRERA: ING. PETROLERA 6TO. CUATRIMESTRE B

MATERIA: MECANICA DE FLUIDO

UNIVERSIDAD POLITECNICADEL GOLFO DE MXICO

Carrera:INGENIERA PETROLERA

Nombre del Mdulo / Materia:CUATRIMESTRE/VI

MECNICA !E "LUI!O

Traba#o:INVESTIGACION: E$ERCICIOS

Grado % Gru&o: IP'('

Nombre del E)tudia*te:

"RANCISCO $ESUS SEGOVIA $IMENE+

Nombre del ,a-ilitador: MTRO.MANUEL SAN!OVAL MARTINE+

01SEPTIEM(RE1233


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INVESTIGACION:INVESTIGACION:

EJERSICIOEJERSICIO

UNIDAD II

1._ un ee!"#$% #e "u&$'(!)e* +ue *e e',e" en un &"e%- e")%e $',%)')#$ e/e%e un" 0ue%" *$2%e un ,e+ue3$ e'2$$ #e*e)(n &%"n*!e%*" )%u"% #e 4' #e %"#)$- e*&" ,%e*)(n *e&%"n*')&e ,$% 'e#)$ #e un )+u)#$ " un *e5un#$ e'2$$ #e14' #e %"#)$. +u7 0ue%" #e2e e/e%e% e ")%e $',%)')#$,"%" e!"n&"% un "u&$ +ue ,e*" 18-899N.

A r=5cm A r=15cm

5cm=.05 15cm=.15cm

A= .05 =0.0078m

A= .15 =0.0706m

P = F A

P=P

P = F F = F F1=F2 A1A A A A2

FRANCISCO JESUS SEGOVIA JIMENEZ


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F1=13,300N 0.OO78 m =

0.0706 mF1= 1,469.40 N

;._ "ue " ,%e*)(n " un" ,%$0un#)#"# #e 1999' en e$7"n$. Su,$n5" +ue " #en*)#"# #e "5u" #e '"% e*1.9;?5@'> $n*)#e%e " ,%e*)(n "&'$*07%)" )5u" "1.91=19 ,"*"e*.

P= Po + ! "

P= 1.01#10$%& + '1.024(10)*!'9.81m'1000m

'm)'

P= 10.14(10-P&

B "ue " 0ue%" &$&" e/e%)#" *$2%e e e=&e%)$% #e un"!en&"n" )%u"% #e 89' #e #)'e&%$ #e un *u2'"%)n$ " e*",%$0un#)#"#.

30cm=0.3m

A= '0.15 = 0.0706 m

F= PA

F= '10.14(10-%&'0.0706m =

F = 715,884N

8._ $'$ "u"% " ,%e*)(n "&'$*07%)"

P=0 =76cm

/ &co Po

!



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P= Po + ! ! " "= 76 cm

+Po = + ! ! " != 9.81m

Po= ! ! " Po = '13.595#10)'9.81'0.76

!= 13.595#10) *!m) Po= 1.0135#10$P&


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P%)n),)$ #e A%+u'e#e*

6._ *e !)e%&e 5 #en&%$ #e un &u!$ en 0$%'" #e u- e 2%"$)+u)e%#$ #e &u2$ &)ene un %e" #e *e)(n &%"n*!e%*" #e19'J e e=&%e'$ #e%e$ #e 4'J ue5$ *e !)e%&e 1995% #e"5u" en e 2%"$ #e%e$. C"u"% " $u'n" #eHKC H5

A=10cm A=5cm A=10cm

A=5cm 100!r O

% %% P "2 P

"1 P=FA

! !

1 :2 (PO:A:

A1= A2

P1=P2

1="2

O= 1!rcm)

mo= 100!r

3 ;O O 1 !rcm)



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>O= A2 "2 "2 = >O = 1O0 cm) =20 cm

A2 5 cm

P1=P2

Po + O ! " = Po +! ! "

O ! " =! ! "

O " = ! " O " ="1

!4 :;O>INDO

" = '1 !rcm)'20 cm = 1.4 cm

'13,595 !rm)

._ un ,e#"$ #e "u')n)$ *e *u*,en#e #e un" ue%#" #e*,u7* *e *u'e%5e ,$% $',e&$ en un %e),)en&e $n "5u"-" '"*" #e "u')n)$ e* #e 1?5 *u #en*)#"# e* ;.=19>?5@'>-"ue " &en*)(n en " ue%#" "n&e* #e*,u7* #e +ue *e*u'e%5e e "u')n)$.

1 = 2.7 (10) !m) 2 m= 1 !

=

2.7 (10) !m)

m= 1 !

AN


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F

=

A= r A=3.1416 cm

T= 20 SJ = 0.333 SJ = 333cm)

60

>= T >= 333 cm) = 105.99 cm

A 3.1416 cm

1


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1 :2 (PO:A:

2 m) 1m 1,000,000 cm) = 33,333.33cm)

V 60 1 m)

3 ;


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P

Po " /

A /

1 :2 (PO:A:

=P=/=/==

3 ; + ! /

2 2

A XXA

> YY>

> = O

4 :;O>:

Po + 1 > + ! / = P + ! / 2

1 > = 'P Po + ! / ! /

2

1 > = 'P Po + !' / /

2

1 > = 'P Po + ! "

2

> = 2Z 'P Po + ! "[

> =\ 2Z 'P Po + ! "

;I P = Po

> =\ 2 ! " >= \ 2 ! "



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16._ en un 5%"n &"n+ue #e "'"en"')en&$ en$ #e "5u" *e0$%'" un ,e+ue3$ "5u/e%$ en *u $*&"#$ en un ,un&$ +ue *eenuen&%" " 16' #e2"/$ #e n)!e #e "5u". *) " &"*" #e Qu/$#e " 0u5" e* #e ;.4=19>'>@')n- #e&e%')ne:

" " !e$)#"# " " u" e "5u" *"e ,$% e $$.

2 e #)'e&%$ #e e*&e.

P

A P " /

T / "= / /

1 :2 (PO:A:

" = 16 cm = 1000 !m)P = PoP= Po]= 2.5#10) m) 1 m = 4.1666#10$ m)

V 60

3 ; + ! /

2 2

4 :;O>:

1 > + ! / = ! /


A


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2

1 > = ! / ! /

2 1 > = ! '/ /

2

1 > = ! "

2

> = 2 ! " >= \ 2 ! "

>= 2'9.81 '16

>= 313.92 'mm

> = 17,7177 m

] = A >

A= T A= 4.1666(10$ m) = 2.3516#10- m

> 17.7177 m

A= r

r = A r = 2.3516(10- m 3.1416

r = 8.6517#10E

T = 2 r T = 1.7303#10) m



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1._ en " 5u%" *e 'ue*&%" un u2$ #e )e$ +ue Q$&" en un!"*$ en$ #e "5u". u7 0%")(n #e u2$ *$2%e*"e #e n)!e#e "5u" 1 ?5@'>

F P

"

"

P

@

? F = F @ = 0

F = B

P= m>

@ = m! = " >!

F= ! >

! > = " >!

> = >

V F:AHHION ;UV:IG

F:AHHION AFU:A = 1

F

1 W 917 *! m) = 0.0831000 !m)



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1._ un u2$ #e '"#e%" #e ;9' #e "#$ +ue &)ene un"#en*)#"# #e 649 ?5@'> Q$&" en e "5u". Cu" e* " #)*&"n)" #e" "%" *u,e%)$% #e u2$ " n)!e #e "5u"

F

"

" "

A

@

? F = F @

F = B

F = m!

F = & >A !

F = 51.012 N

CP = F CP= 1,275.3

A

% = Po + ! " % Po = Po + ! " Po

CP= "O ! " Po

HOVO = m m =

>

CP= "O ! " "= CP = 0.13 m = 13 cm

O !

" = " "

" = 20 cm 13 cm = 7 cm



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1._ un &u2$ $%)$n&" #e 19' #e #)'e&%$- &)ene un"%e#u)(n un)0$%'e +ue $ $ne&" " un &u2$ #e 4' #e#)'e&%$. S) " ,%e*)(n #e "5u" en e &u2$ '* 5%"n#e e* #e

=19," " ,%e*)(n en e &u2$ '"* ,e+ue3$ e* #e 6=19,". A+ue &"" )%u" e "5u" " &%"!7* #e $* &u2$*

A A

> >

1 :2 (PO:A:

"O

/ = /

D, D A, A P P

A = '.025 = 1.9634(10) mA = '0.05 = 7.8539(10) m

3 ; + ! /

2 2

A > = A > >= > AA

4 :;O>:

P + 1 > + ! / = P + 1 > + ! /



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2 2

P + 1 > = P + 1 >

2 2P + 1 > A = P + 1 >

2 A 2

P P = 1 > A 1 >

2 A 2

'P P = 1 > A 1

2 A

'P P = 1 > A A

2 A

> = 2'P P A

' A A

> = 2'P P A ' A A

> = 2'8(10E P& 6#10E P& '1.9634#10) m1000' 7.8539#10) m 1.9634#10)m

> = 1.6179(10 m

] = A >

] = '7.8539(10) '1.6179(10 = 12. 7068(10$ m)

;9._ un &u2$ $%)$n&" e*&%e$ $n$)#$ $'$ &u2$ #eVen&u%) ,ue#e u&))"%*e ,"%" 'e#)% " !e$)#"# #e Qu/$ en unQu)#$ )n$',%e*)2e #e&e%')n"% " !e$)#"# #e Qu/$ en e



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,un&$ ; *) *e $n$e " #)0e%en)" #e ,%e*)(n en&%e $* ,un&$* 1 ;.

A A

P P

> / / >

1 :2 (PO:A:

CP = P P/ = /

3 ; + ! /

2 2

A > = A > >= > AA

4 :;O>:

P + 1 > + ! / = P + 1 > + ! /

2 2

P + 1 > = P + 1 >

2 2

'P P = 1 > = 1 > '1 2 2

D A HUAHION D HON


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A > = A > >= > A

A

;U; A = 1 >

2 A 2

'P P = 1 > 1 A

2 A

'P P = 1 > A A

2 A

> = 2'P P A ' A A

;1._ un &u2$ #e Ven&u%) ,ue#e u&))"%*e $'$ un 'e#)#$% #eQu/$ #e Qu)#$ *) " #)0e%en)" #e ,%e*)(n e* ;1 ?,". Enuen&%e" &"" #e Qu/$ #e Qu)#$ en '>@* #"#$ +ue e %"#)$ #e &u2$ #e

*")#" e* 1' e %"#)$ #e &u2$ #e en&%"#" e* #e ;'. " #eQu)#$ 99 ?5@'>.

A A

P P



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> / / >

1 :2 (PO:A:

CP= 21,000P&A = 3.1416(10E mA= 1.2566#10) m= 700 !m)/ = /

3 ; + ! /

2 2

P + 1 > + ! / = P + 1 > + ! /

2 2

A > = A > >= > A

A

4 :;O>:

P + 1 > = P + 1 >

2 2

'P P = 1 > 1 >

2 2

>= > A

A

'P P = 1 > A 1 >

2 A 2



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'P P = 1 > A 1

2 A

'P P = 1 > A A

2 A

> = 2'P P A

' A A

> = 2'P P A ' A A

> = 2'21,000 '3.1416(10E = 700Z ' 1.2566#10) '3.1416(10E [

> = 2 m

A > = A > >= > A

A

> = 1.2566(10) '2m

3.1416(10E

>= 8m

] = A >

] = '3.1416(10E m '8m = 2.5132(10) m)

;;._ #e un #e,(*)&$ Que ")%e en 0$%'" e*&"2e " &%"!7* #e un"'"n5ue%" #e 8' #e #)'e&%$ *"e " " "&'$*0e%" ,$% un"2$+u)" #e 1' #e #)'e&%$. L" ,%e*)(n en e #e,(*)&$



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,e%'"nee $n*&"n&e en 8?,". De&e%')ne e Qu/$ #e ")%e ",%e*)(n en " '"n5ue%". ")%e1.;?5@'>.

P= 3 *%& R R

123

&r^

1 :2 (PO:A:

P= 300 *%&

P= 1.0135(10$ P&

R, R

&r^ =1.29 !m

A = '.015 = 7.0685(10E mA = '0.05 = 7.8539(10$ m

3 ; + ! / = P + 1 > +

! /

2 2 2

P + 1 > + ! / = P + 1 > + ! / = P + 1 > + ! /

2 2 2

4 :;O>:

P=P + 1 >



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2

P + P = 1 >

2

> = 2'P P

> = 2'300,000 1.0135#10$ 1.29

>= 554.9635 m

] = A > T = '7.8539#10$ '554.9635

] = 4.3586#10 m)

P = P + 1 >

2

] = A >

> = T > = 4.3586(10 > = 61.6623 m

A 7.0685(10E

P = P 1 >

2

P = 300,000 1 '1.29'61.6623

2

P= 299,960.2278 P&

;8._ un 5%"n &"n+ue #e "'"en"')en&$ *e en" "*&" un""&u%" $. S) e &"n+ue *e ,e%0$%" " un" "&u%" 'e#)#" #e*#e



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e 0$n#$ #e &"n+ue. A +ue #)*&"n)" #e &"n+ue "e "$%%)en&e.

> P > P

" 0

"

(

1 :2 (PO:A:

> XXX > .:. > = 0

P = P = 0

3 ;= RJ

R=. J=#

4 :;O>:

! " = 1 > + ! "

2

1 > = ! " ! "

2

1 > = ! ' " "

2



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> = 2 ! '" "

> = 2 ! '" "

>#=>o _ co ` (='>o co ` J

>=>o _ ^ ` /='>o ^ ` J a ! J /= >J a ! J

N P >o =0

/ = '>o co ` J 1 ! J

2

/ = 1 ! J J = \ 2

2 !

/ = ", " = "o , " = "

(= '>o co ` J = > J

(= \2 ! '"o " \ 2 " !

( =\2 ! '"o " 2 " = \ 4 " '"o " !

( = \ 4 \ " '"o " = 2 \" '"o "



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;


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A

> = 10.1787 m 3 m = 27 m

1.1309 m

ECUACIZN DE BERNOULLIMODIFICADA

;4._ un *)*&e'" #e &u2e%" &%"n*,$%&" "5u" #e*#e un #e,$*)&$ " #e*"%5" en 0$%'" #e un $%%$ )2%e $'$ *e 'ue*&%" en

" 5u%". Cu" *e% e Qu/$ " &%"!7* #e un" &u2e%" #e "e%$$'e%)" #e ;98'' #e #)'e&%$ $n $* "e*$%)$*)n#)"#$*.

P = Po > >Y0

21m

P = Po

30.5 * = 0.6

61 m =0.05



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1 :2 (PO:A:

" =30.5m"= 21m>= 0>Y 0P= PoP= Po*= 0.6F =0.05= 1000 !m)= 61 mR = 203 mm = 0.203 m

3 ;INDO

P + 1 > + ! " = P + 1 > + ! " + C

2 2

! " = 1 > + ! " + C

2

C = 2 C" coRo + C" b + C" &SR&

C" = >

2 !

C" b= F >

2 ! R

C"coRo = * >

2 !



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! " = 1 > + ! " + 2 * > + F > + >

2 2! 2 ! R 2 !

' ! " ! " = 1 > + 2 * > + F > + 0.5 >

2 2! 2 ! R 2 !

' ! " ! " = > 1 + 2 * > + F > + 0.5 >

2 2! 2 ! R 2 !

' ! " ! " = > 1 + 2 * + F + 0.5

2 2! 2 ! R 2 !

> = ' ! " ! "

1 + 2 * + F + 0.52 2! 2 ! R 2 !

> = \ ' ! " ! " 1 + 2 * + F + 0.5

2 2! 2 ! R 2 !

> = \ ' 1000!m)'9.81m'30.5m '1000!m)'9.81m'21m

1 '1000!m) + 2 '0.6 + 0.05 61 m+ 0.5



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2 2 '9.81m 2 '9.81 m'0.203 m 2'9.81 m

> = \ 93195 500 + 5.886 + 3.0369 +2.4525

> = \ 93195 = >= 13.499 m; 511.3754

26. UN HON


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27. A GOVGA D A FIU:A DG INH:VN

ejercicios para la 2 practica de mecanica fluidos

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