sistema y volÚmenes de control.docx

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7/17/2019 SISTEMA Y VOLÚMENES DE CONTROL.docx

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MECÁNICA DE FLUIDOS

SISTEMA Y VOLUMENES DE CONTROL

RAFAEL NÚÑEZ OVIEDO

EDUARDO BOLÍVAR TORRES

 JORGE PEÑARANDA CALVO

ESTUDIANTE

GUSTAVO BALLESTEROS MARTÍNEZ

DOCENTE

UNIVERSIDAD DE LA GUAJIRA

FACULTAD DE INGENIERÍA

PROGRAMA INGENIERÍA CIVIL

RIOHACHA, LA GUAJIRA

201

7/17/2019 SISTEMA Y VOLÚMENES DE CONTROL.docx

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INTRODUCCI!N

S" "#$%"#&" '() *(+-"# &" .(#$)(+ / #/ )"%# 3/ "# "+ "4'/.%( &(#&"'"&" "5%4$%) # 63( &" 6%&( / $)/*74 &" 44 8)(#$")/49 P() "4$/ )/:#"# &%8")"#$"4 %#4$/#$"4, 4" '"&"# $"#") &%8")"#$"4 '/)$;.+/4 "# "+

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SISTEMA Y VOLÚMENES DE CONTROL

C/+>%") '().%# &" -/$")%/ / "4$&%/)9 U# 6%&( 4")< "+ 4%4$"-/"+"%&(9 A +/ 4'").%", )"/+ ( %-/%#/)%/, >" +( "#*"+*" 4" ++/-/+;-%$", 8)(#$")/ ( .(#$()#(9 E+ .(#3#$( &" */)%(4 4%4$"-/4 '"&" 8()-/)

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P")-"/=+" / +/ -/4/ ( %-'")-"/=+" / "++/9 E# "+ ')%-") ./4( 4"&%." >" $"#"-(4 # 4%4$"-/ /=%")$( '9"39 # -($() "# "+ >""#$)/ .(-=4$%=+" '() # +/&( 4/+"# /4"4 '() ($)( "# "+4"#&( #( ."))/&( '9"39 "# "+ .%).%$( &" )"8)%")/.%# &" #/#"*")/, "+ /4 8)"# >" .%).+/ '() +(4 $=(4 ##./ 4/+" /+

"5$")%()9 P")-"/=+" /+ ./+() ( %-'")-"/=+" / 7+9 S% /+ '(#") "# .(#$/.$( "+

4%4$"-/ .(# "+ /-=%"#$" 4" ')(&." #/ $)/#48")"#.%/ &" "#");/&"=%&( / +/ &%8")"#.%/ &" $"-'")/$)/4, 4" &%." >" +/ 8)(#$")/ "4&%/$")-/9 S% "+ ./+() #( '"&" /$)/*"4/) +/ 8)(#$")/ 4" &%." >"74$/ "4 /&%/=<$%./

D" # 4%4$"-/ ."))/&( )(&"/&( '() '/)"&"4 /&%/=<$%./4 3/4 "# "+ >"'() $/#$( #( '"&" "#$)/) #% 4/+%) #% -/4/ #% "#");/, 4" &%." >" "4$</%4+/&(9

E# # 4%4$"-/ ."))/&( 4" 4"+" "4$&%/) +( >" 4" &"#(-%#/ #/ -/4/&" .(#$)(+, ./ "*(+.%# 4" 4%" "# "+ $%"-'(, /#>" (.'" #/)"%# */)%/=+" &"+ "4'/.%(9 E+ "3"-'+( /)>"$;'%.( "4 "+ &" # .%+%#&)(++"#( &" /4 "# "+ >" "5%4$" # '%4$# -*%+9 E+ '%4$# '"&" .(-')%-%)( "5'/#&%) "+ /4, .( *(+-"# '() $/#$( ./-=%/9 L/ -/4/ &" /4.(#$"#%&/ "# "+ .%+%#&)(, "# ./-=%(, '")-/#"." .(#4$/#$"9

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 TIPOS DE SISTEMAS

L(4 4%4$"-/4 4" .+/4%./# 4"# .-( 4"/ +/ '/)"& >" +(4 4"'/)/ &"+"#$()#(9 E# 8#.%# &" 44 '/)"&"4 ( +;-%$"4, # 4%4$"-/ '"&" 4")

C"))/&( "4 #/ )"%# &" -/4/ .(#4$/#$"? 4" &"#(-%#/ -/4/ &".(#$)(+9 A $)/*74 &" 44 +;-%$"4 4+( 4" '")-%$" +/ $)/#48")"#.%/ &""#");/, '")( #( &" -/$")%/9 L/ '/)"& >" )(&"/ /+ 4%4$"-/ "4%-'")-"/=+"9

A=%")$( "# # 4%4$"-/ /=%")$( "4 '(4%=+" +/ $)/#48")"#.%/ &" -/4/ &" "#");/ / $)/*74 &" 44 +;-%$"4? +/ -/4/ .(#$"#%&/ "# 7+ #( "4#"."4/)%/-"#$" .(#4$/#$"9 S" &"#(-%#/ *(+-"# &" .(#$)(+? +/4'").%" +%-%$/#$", >" '() +( -"#(4 "# '/)$" &"=" 4")'")-"/=+" ( %-/%#/)%/, 4" ++/-/ 4'").%" &" .(#$)(+9 U#/ '/)"&$/-=%7# '"&" 4") 4"-%'")-"/=+", 4% '")-%$" "+ '/4( 4+( &"

/+#/4 44$/#.%/49 R;%&( #( '")-%$"# "+ ./-=%( &" *(+-"#9 A&%/=<$%.( #/ '/)"& /&%/=<$%./ "4 />"++/ >" 4+( '")-%$"

%#$")/..%(#"4 "# 8()-/ &" $)/=/3( "#$)" "+ 4%4$"-/ 4 "#$()#(29U#/ '/)"& &%/$7)-%./ '")-%$" %#$")/..%(#"4 &" "#");/ &" ($)/48()-/4 >" #( 4(# $)/=/3(9

A%4+/&( # 4%4$"-/ /%4+/&( #( '"&" $)/#48")%) -/$")%/ #% "#");/.(# 4 "#$()#(9 E+ #%*")4( "# 4 $($/+%&/& 4" '"&" .(#4%&")/).(-( # 4%4$"-/ /%4+/&(9

VOLUMEN DE CONTROL

E# # 4%4$"-/ /=%")$( 4" "4$&%/ +( >" 4" &"#(-%#/ # *(+-"# &".(#$)(+, 4/+-"#$" 3(9 S" $)/$/ &" #/ )"%# &"+ "4'/.%( "# "+ %#$")%()&" +/ ./+ "4$< "+ 4%4$"-/ $")-(&%#<-%.( &" %#$")74 ./4 '/)"&"4'"&"# 4") /$)/*"4/&/4 '() -/4/ >" "#$)/ ( 4/+"9 L/ 8)(#$")/ &"+*(+-"# &" .(#$)(+ '(&)< $"#") '/)$"4 -/$")%/+"4 '/)$"4 ')/-"#$""(-7$)%./9 U# "3"-'+( +( $"#"-(4 "# # ./+"#$/&() &" // &(-74$%.("# "+ ./+ "#$)/ // 8);/ '() # +/&( &"+ ./+"#$/&() /$)/*"4/#&( #/

8)(#$")/ "(-7$)%./ 6" '() "+ %#$")%() &"+ /'/)/$( .(# '/)"&"44(+%&/4 4/+", ./+"#$/&/, '() ($)( "5$)"-( ($)/ 8)(#$")/ %#-/$")%/+9

VOLUMEN DE CONTROL S" )"")" / #/ )"%# "# "+ "4'/.%( "4 $%+ "#"+ /#<+%4%4 &" 4%$/.%(#"4 &(#&" (.))" 63( &"#$)( 8")/ &"+ "4'/.%(9E+ $/-/( 8()-/ &"+ *(+-"# &" .(#$)(+ 4(# $($/+-"#$" /)=%$)/)%(4,'")( .(# 8)"."#.%/ 4" @/."# .(%#.%&%) .(# 8)(#$")/4 4+%&/4 "# '/)$"4?

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"# ($)/ '/)$"4 4" &%=3/# #()-/+"4 / +/4 &%)"..%(#"4 &" 63( '/)/4%-'+%./)9 P() 4'")'(4%.%# &" #/ *"+(.%&/& #%8()-" 4(=)" #4%4$"-/ 44 /+)"&"&()"4, / *"."4 4" '"&" "#.(#$)/) #/ 4%$/.%#.(#*"#%"#$" '/)/ +/ /'+%./.%# &"+ *(+-"# &" .(#$)(+9 E3"-'+( L/&"$")-%#/.%# &" +/ *"+(.%&/& &" #/ (#&/ 4(#()/ "# # -"&%(9 A+

*(+-"# &" .(#$)(+ $/-=%7# 4" +" &"#(-%#/ SISTEMA ABIERTO9

SUPERFICIE DE CONTROL T(&( 4%4$"-/ >"&/ +%-%$/&( '() # .(#$()#(,'/)"&"4, 8)(#$")/4 ( +;-%$"4 &"+ 4%4$"-/, >" '"&"# 4") )"/+"4 (%-/%#/)%(49 T/-=%7# 4" ++/-/# 4'").%" &" .(#$)(+9 L/ 8)(#$")/ 4"'/)/"+ 4%4$"-/ &"+ )"4$( &"+ #%*")4(? "4$/ 8)(#$")/ '"&" 4") -/$")%/+ ( #(9A $)/*74 &" +/ 8)(#$")/ 4."&"# +(4 %#$")./-=%(4 &" $)/=/3(, ./+() (-/$")%/ "#$)" "+ 4%4$"-/ Y 4 "#$()#(9

E+ -"&%( )(&"/#$" ( "#$()#( "4 +/ '/)$" &"+ #%*")4( ')5%-/ /+ 4%4$"-/

>" 4" *" /8".$/&/ "# /+#/ -"&%&/ '() +(4 ')(."4(4 >" (.))"# "#"+ 4%4$"-/9 E+ #%*")4( "4 $(&( +( /.."4%=+" / #"4$)( "5'")%-"#$(9

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CONCLUSI!N

U# *(+-"# &" .(#$)(+ "4 #/ )"%# "# "+ "4'/.%( "4 $%+ "# "+ /#<+%4%4&" 4%$/.%(#"4 &"#$)( 8")/ &"+ "4'/.%(9 L/ 8)(#$")/ &" # *(+-"# &".(#$)(+ "4 4 4'").%" &" .(#$)(+9 E+ $/-/( 8()-/ &"+ *(+-"# &".(#$)(+ 4(# $($/+-"#$" /)=%$)/)%(4, '")( .(# 8)"."#.%/ 4" @/."# .(%#.%&%).(# 8)(#$")/4 4+%&/4 "# '/)$"4? "# ($)/4 '/)$"4 4" &%=3/# #()-/+"4 /

+/4 &%)"..%(#"4 &" 63( '/)/ 4%-'+%./)9

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