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MECÁNICA DE FLUIDOS SISTEMA Y VOLUMENES DE CONTROL RAFAEL NÚÑEZ OVIEDO EDUARDO BOLÍVAR TORRES  JORGE PEÑ ARAN DA CAL VO ESTUDIANTE GUST A VO BALLESTEROS MAR TÍNEZ DOCENTE UNIVERSIDAD DE LA GUAJIRA FACULT AD DE INGENIERÍ A PROGRAMA INGENIERÍA CIVIL RIOHACHA, LA GUAJIRA 201

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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

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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