Labo de Mecanica Medicion de Flujo

UNI'ERSI#A# NACIONAL #E INGENIERIA

CURSO:

Facultad de Ingeniería Mecánica

LABORATORIO ING. MECANICA 1

ROFESOR! Ing. AE" AOLINARIO ELISEO

TEMA!

ESTU#IO #E LOS COMBUSTIBLES

INTEGRANTES! •

ANCCO FUENTES FRANCIS MANUEL

•

CANTU LEAÑO LUIS ANTONIO

20134522F

•

FLORES ARTEAGA IVAN DAVID

20132596B

•

RICRA FLORES JAIME

20121321G

•

ALLAS ALLAS !UI!UIA LENIN

2012143"A

•

RAMOS LA#ARO ARTURO

20131320C

•

COCA VARGAS VARGAS DIEGO

20131341K

•

RODRIGUE# RODRIGU E# ROMERO IVAN

20091121E

•

ALCANTARA ALCANTARA TACORA TACORA SANDRO

20134120E

SECCI$N!

%A&

20157007K

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UNIVERSIDAD NACIONAL DE INGENIERÍA

FACULTAD DE MECÁNICA

2016$1

INDICE INTRODUCCIÓN................................ INTRODUCCIÓN....................................................... .............................................. .............................................. ...............................2 ........2 OBJETIVOS................................ OBJETIVOS....................................................... .............................................. .............................................. ....................................2 .............2 FUNDAMENTO TEÓRICO.............................. TEÓRICO...................................................... ...........................................................2 ...................................2 PROCEDIMIENTOS........................................................................................................3 PART PARTE E EXPERIMENTAL........ EXPERIMENTAL............................... .............................................. .............................................. ......................................3 ...............3 RESULT RESULTADOS Y DISCUCIÓN................................... DISCUCIÓN.......................................................... ....................................... ............................. .............44 CONCLUSIONES............................ CONCLUSIONES................................................... .............................................. .............................................. ...................................5 ............5 RECOMENDACIONES...................................................................................................5 REFERENCIAS.............................. REFERENCIAS..................................................... .............................................. ........................................................... ....................................66 BIBLIOGRAFICAS.............................. BIBLIOGRAFICAS..................................................... .............................................. .................................................6 ..........................6 INTERNET................................ INTERNET....................................................... .............................................. .............................................. ......................................6 ...............6















INTRODUCCION L% &'()(% (' *%+(%, '- *.-(+**).-'/ *'%(%/ *.-/)/' '- ,% (''&)-%*)- (' ,% C%-)(%( (' &%/% . .,+&'- +' *)*+,% . ,% *.-(+**)- . +-)(%( (' )'&. L./ L./ )-/ )-/+ +&' &'- -./ ./ +' +' ,,' ,,'%%- % *%8. *%8. ,% &'() &'()(% (% (' +- *%+( *%+(%, %, /' ('-. ('-.&) &)-% -%- - %8)+%,&'-' *%+(%,&'./ . &'()(.'/ (' *%+(%, *.-/)+;'-(. +-% &.(%,)(%( %)*+,% ,./ *.-%(.'/ ,./ *+%,'/ )-'<%- ()/./))./ %('*+%(./ %% &'() ; =+/)>)*% ', .,+&'.,+&'- +' % *)*+,%(. *)*+,%(. . ,% *.-(+**)- *.-(+**)- L./ &'()(.'/ (' *%+(%, .,+&?)*. +'('- (''&)-% ', *%+(%, (' .,+&'- (' >,+)(. (' (./ >.&%/: @ D)'*%&'-' &'()%-' ()/./))./ (' ('/,%%&)'-. ('/,%%&)'-. ./)). . @ I-()' I-()'*% *%&'&'-' ' &'()% &'()%-' -' ()/. ()/./) /)) )./ ./ (': '/) '/)- ()>'' ()>''-*) -*)%, %, '% '% %)%8 %)%8,' ,' ',.*)(%( >+'% '* +'/. +' ,% &'()(% (' *%+(%, .,+&?)*. '- ,% )-(+/)% /' '%,)% <'-'%,&'-' *.*.- )-/ )-/+& +&''-. .// +' +' (%(%- ,+<% ,+<% % +-% +-% '/ '/) )- ()>' ()>'' '-* -*)% )%,, %, %/. %/. (', (', >,+) >,+)(. (. %8.(%'&./ '- )&' ,+<% ,./ &'()(.'/ (' '/)- ()>''-*)%, E/% *,%/' (' &'()(.'/ '/'-% +-% '(+**)- (' ,% /'**)- (' %/. (', >,+)(. (%-(. ,+<% % +' ', >,+)(. %+&'-' /+ ',.*)(%( ,. +' .)<)-% +- %+&'-. (' /+ '-'<% *)-?)*% ; . *.-/)<+)'-' /+ '/)- )'-(' % ()/&)-+) '- +-% ..*)'+)%,'-' '+)%,'-' (' %*+'(. *.- ', )-*)). (' ,% *.-/'%*)*.-/'%*)- (' ,% '-'<% *'%-(. +-%















OBJETIVOS

 

M'() +- &)/&. *%+(%, &'()%-' 3 &?.(./ C%(% L)8' T+8. (' R';-.,(/ ; V''('. V''('. ; %-%,)% ,./ &.)./ (' ,% ()/*'%-*)% (' (' ,./ '/+,%(./



M'() *%+(%, &'()%-' ', +8. (' V?-+) ; ,%*% *.- %<+='. %% ')>)*% ', )-*)). (' V?-+)



C.&%% ', *%+(%, '%, ; ', *%+(%, ')*. &'()%-' ', C( *.'>)*)'-' (' ('/*%<%

FUNDAMENTO TEÓRICO rinci(ale) *edid+re) de (re)i,n di-erencial E-' ,./ )-*)%,'/ )./ (' &'()(.'/ (' '/)- ()>''-*)%, /' +'('('/%*% ,./ /)<+)'-'/: • • • •

,%*%/ (' .)>)*). T+8./ (' R';-.,(/ T+8./ V'-+) ''('.

S' '/)&% +' %*+%,&'-' %, &'-./ +- 75 (' ,./ &'()(.'/ )-(+/)%,'/ '- +/. /.- ()/./))./ (' '/)- ()>''-*)%, /)'-(. ', &/ .+,% ,% ,%*% (' .)>)*). L%/ )-*)%,'/ '-%=%/ (' ()*./ &'()(.'/ /.-:  /+ /'-*),,' (' (' *.-/+**)- *.-/+**)- -. )-*,+;'-(. )-*,+;'-(. %'/ &),'/ &),'/  /+ >+-*).-%&)'-. >+-*).-%&)'-. /' *.&'-(' *.&'-(' *.- >%*),)(%( >%*),)(%(  -. /.- *%./ %)*+,%&'-' %)*+,%&'-' /) /) /' )-/%,%- '- <%-('/ <%-('/ +8'%/ ; /' *.&%%- *.-














FACULTAD DE MECÁNICA S+/ )-*)%,'/ ('/'-%=%/ /.-:  ,% %&,)+( (', (', *%&. (' &'()(% &'()(% '/ &'-. +' +' %% ,% &%;.% &%;.% (' ,./ ../ )./ )./ (' &'()(.'/  +'('- .(+*) .(+*) ?()(%/ (' (' *%<% /)<-)>)*%)%/ /)<-)>)*%)%/  ,% /'%, (' /%,)(% /%,)(% -. '/ ,)-'%, ,)-'%, *.- ', *%+(%, *%+(%,  ('8'- '/'%/' +-./ %&./ '*./ (' +8'% %<+%/ %)8% ; %<+%/ %8%=. (', &'()(. +' /''*./ (' '-'='*)&)'-. '-'='*)&)'-. '/ ('*) %*+&+,%*)%*+&+,%*)- (' ('/)./ . ,% './)- (' ,%/ %)/%/ )%/  ,% '*)/)- /+',' /' &'-. +' ,% (' &'()(.'/ &/ &.('-./ '/'*)%,&'-' /) *.&. '/ %8)+%, ', &'()(. /' '-'<% /)- *%,)8% LACAS #E ORIFICIO L% ,%*% (' .)>)*). *.-/)/' '- +-% ,%*% '>.%(% +' /' )-/%,% '- ,% +8'% E, .)>)*). (' ,% ,%*% *.&. /' &+'/% '- ,% >)<+% 1 +'(' /': *.-*?-)*. '*?-)*. ; /'<&'-%, C.- ', >)- (' ')% %%/'/ (' /,)(./ . <%/'/ +' +'(% ,,'% ', >,+)(. ,% ,%*% )-*..% -.&%,&'-' +- '+'. .)>)*). (' +<% E-' ,./ ()'/./ '>),'/ (' .)>)*). +' /' +),)%- /')<+% 2 /' +'('- ('/%*% ,./ /)<+)'-'/: (' *%-./ )./ (' *+%. (' **+,. ; (' '-%(% *-)*% T)./ (' .)>)*). E, &/ +),)%(. '/ ', (' *%-./ )./ %+-+' %&8)?- /' +/%- ,%/ ,%*%/ (' *+%. (' **+,. ; ,%/ (' '-%(% *-)*% '/'*)%,&'-' *+%-(. ', >,+)(. '/ )/*./.















L%/ .&%/ '- ,% 8)(% /' +/%- %% %&%./ (' +8'% (' 2 )- 50" && . /+').'/ E- ', *%/. (' ,%/ .&%/ '- ,% '-% *.-%(% ,% .&% %-'/ (' ,% ,%*% /' /)H% % 1 )254 && (' ()/%-*)% (' ,% ,%*% &)'-%/ +' ,% .&% ./'). /' ('8' /)+% '- ', +-. (' &-)&% '/)- (.-(' ,% '-% %,*%-% /+ ()&'. &/ '+'. L%/ .&%/ '- ,% +8'% /' /)H%- % 2 1  2 ; " ()&'./ (' +8'% '/'*)%&'-' %-'/ ; ('/+?/ (' ,% ,%*% (' .)>)*).

TUBO 'ENTURI E- ,% >)<+% 5 /' &+'/% ', '>), (' +- +8. V'-+) *,/)*. (.-(' /' +'(' %'*)% ,% !"#$"!%!&' ( )*" +$,*" ( #-("!&' #*-* (+(-,!'*- )* #-("!&' !(-('%!*).
















FACULTAD DE MECÁNICA C.&. /' %'*)% '- ,% >)<+% /' +'('- ('/%*% '/ %'/ >+-(%&'-%,'/: % +-% /'**)- (' '-%(% *-)*% *.-'<'-' '- ,% +' ,% /'**)- %-/'/%, ()/&)-+;' ,. +' /' %(+*' '- +- %+&'-. (' ,% ',.*)(%( (', >,+)(. ; +-% ()/&)-+*)- (' ,% '/)- 8 +-% /'**)- *),-()*% '- ,% +' /' /)H% ,% .&% (' 8%=% '/)- ; (.-(' ,% ',.*)(%( (', >,+)(. /' &%-)'-' *)*%&'-' *.-/%-' ; * +-% '*'% /'**)- (' /%,)(% *-)*% ()'<'-' '- ,% +' ,% /'**)- %-/'/%, %+&'-% ()/&)-+;'-(. ,% ',.*)(%( ; %+&'-%-(. ,% '/)- L% )-*..%*))-*..%*)- (' '/% /'**)- (' /%,)(% '&)' +-% '*+'%*)- (' ,% &%;. %' (' ,% '/)- ()>''-*)%, .(+*)(% ; ; . %-. +%.. (' '-'<% C.- ', >)- (' '(+*) ,%/ ?()(%/ (' *%<% *%+/%(%/ . +-% .8'% +'(' %*.,%/' % *.-)-+%*)- (' ,% .8'% +-% /'**)- ()'<'-' /)&),% % ,% +),) +),)%( %(% % %% %% +- +8. +8. V'-+ V'-+) ) '/+, '/+,%%-(. (. +-% *.&8)*.&8)-%* %*))- +' +' /' ('-.& ('-.&)-% )-% V'-+)$.8'% V'-+)$.8'% *.&. /' &+'/% '- ,% >)<+% 6 (.-(' +'('- %'*)%/' ,%/ .&%/ (' '/)-














FACULTAD DE MECÁNICA L%/ )-*)%,'/ ,)&)%*).-'/ (' ,./ +8./ V'-+) /.- /+ ','%(. *./' ; ,% ,.-<)+( -'*'/%)% %% /+ )-/%,%*)- /.8' .(. %% <%-('/ %&%./ (' +8'% S)'&8%<. ('8)(. % /+ 8%=% ?()(% (' *%<% /.- =+/)>)*%(./ '- *%/./ (.-(' )'-'+' 8.&8'%/' <%-('/ *%-)(%('/ (' ,+)(. (' >.&% *.-)-+% C+%-(. ,% ?()(% (' *%<% -. '/ )&.%-' /+',' '/*)-()/' (', +8. V'-+) ; /+/)+)/' . +-% ,%* ,%*% % (' .)> .)>)* )*). ). ('8) ('8)(. (. % /+ &'-. &'-. *./ *./' ' ; &%;. &%;. >%*) >%*),),)(% (%( ( (' )-/ )-/%, %,%* %*) )- ; &%-'-)&)'-. EL TUBO #E RENOL#S E, +8. (' R';-.,(/ *.-/)/' '- +- .)>)*). /)+%(. '- ', >.-(. (' +- +8. (.-(' ', >,+=. %% *.- ,% %,+% (', ,+)(. '-*)&% (', .)>)*). L% %,+% (', ,+)(. '-*)&% (', .)>)*). /' &)(' . &'(). (' +- +8. %-/%'-' *.-'*%(. '- ', >.-(. (', +8. L% '*+%*)- (', >,+=. '/:

Q R

D-(':

=

KH n

!R  C%+(%, '%, K  *.-/%-' +' (''-(' (', ). (' >,+=. ; >.&% <'.&?)*% (',

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DEMOSTRACIN DE LA ECUACIN GENERAL : D', <>)*. '/+'&)*. /)<+)'-': P 1 γ

+

V 12

2 g

+

z 1 =

P 2 γ

+

V 22

2 g

+

z 2

A,)*%-(. ,% '*+%*)- (' B'-.+,,) '-' ,./ +-./ 2 /%,)(% ; 1 /+'>)*)' ,)8': C.&. ,% '/)- '- ,% '-%(% ; ,% /%,)(% /.- )<+%,'/ %&./>?)*%/  1  2 ,% ',.*)(%( (' ('/*'-/. (', ,+)(. V 1 '/ *'. ; ,% ()>''-*)% (' *.%/ '/ ,% %,+% (', >,+)(.  . ,. %-. ,% '*+%*)- +'(% '(+*)(% %: V 2

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FACULTAD DE MECÁNICA E- +-% +-% '/% /' ('-. ('-.&) &)-% -% /erteder+ /erteder+ % ,% %' (' ,% '/+*+% +' '&)' ,% '%*+%*)- (' ,%/ %<+%/ ;% /'% '- >.&% %8)+%, . %% *.-.,% ', -)', (', '/'.). (' %<+% G'-'%,&'-' /' ('/*%<%- ,%/ %<+%/ )&%/ % ,% /+'>)*)' ,)8' (', '&8%,/' '*.-%./)*)- (' ,% ('/*%<% (' >.-(. >.-(.  ,% +' '&)' ,% /%,)(% *.-.,%(% (' %<+%/ (' ,./ '/%./ .>+-(./ (', '&8%,/' L./ ''('./ /.- &+; +),)%(./ '- ./ %% &%-'-' ', -)', ')*%, (', %<+% ; /' %.' %.'*% *%(. (. *.&. *.&. ,%<./ ,%<./ .-% .-% (' -%'<% -%'<%*) *)- ; (' '/%* '/%*)&) )&)'- '-. . L./ &.,)&.,)-./ ./ )(+,)*./ /+','- +/% %,))%('./ %% /+8) '/' -)', ; %.'*% ', /%,. %% &.' ,%/ +8)-%/ L./ %,))%('./ /.- &+; H),'/ %% ')% *+%,+)' ('/'()*). +' '/? >,.%-(. . *.&. ,+<% (' %/. (', . D'8)(. % +' +- ''('. )-*'&'-% ', *.-'-)(. '- .<'-. (', %<+% +' %/% /.8' ,% *'/% +'(' <'-'% +- '>'*. '=+()*)%, '- ,% '*.,.<% ,.*%, (', . U''('. '(+*' %)>)*)%,&'-' ,% ',.*)(%( (', %<+% ,. +' +'(' )-*'&'-% ,./ .* .*'/ '/./ ./ (' /'() /'()&' &'- -%* %*) )- - A('& ('&// ' ''/ '/''-% % +-% +-% 8% 8%' '% % %% %% ,./ ,./ '*' '*'// &)<%.)./ +' -. +'('- /%,% (' -)','/































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FACULTAD DE MECÁNICA 1. SIST SISTEM EMAS AS POR POR DU DUCT CTOS OS I.

II. III.

U!%*, U!%*,$" $" )* -(( -((-(' -('%!* %!* ( )$" )$" #'+$ #'+$"" $'( $'( "( 7*' 7*' 8*%( 8*%(-- )*" ,(! ,(!%!$ %!$'( '(". ".

T$,*,$ $,*,$"" () () #'+$ #'+$ 9( )( * * ,*:$ ,*:$-- *#(-+ *#(-+-* -* * )* )* "*)! "*)!*. *. C('+-* C('+-*,$" ,$" () () +$; +$; #*-* #*-* )$ %*) %*) '$" *:* *:*,$ ,$"" %$' %$' '* -(0)* -(0)* :* :* !'"+*) !'"+*)** **;; %$' )* %*) +$,*,$" )*" !"+*'%!*" (<+-(,*"; : )(0$ )* !%*,$" ="+$ (' )* ,!+*.















VI.

T$,*,$ $,*,$"" )$" *+$ *+$"" ( 7()$ 7()$%! %!* * ( ( ('+-* ('+-** * : "*)! "*)!* * ( ( )$" 1 #'+ #'+$". $".

2. TUBO TUBO DE REYN REYNOL OLD D















III.

S( #-$% #-$%(( (( * +$,*+$,*- '* '* ,("+ ,("+-* -* () () *0* *0* 9( ("+ ("+ "*)!( "*)!('$ '$ #$- )* )* +(+(->*; >*; +*,!?' +$,*,$" () +!(,#$ 9( -$.
















FACULTAD DE MECÁNICA I. R(0)* R(0)*,$ ,$"" ,*' ,*'*), *),('+ ('+(( )* *)+ *)+-* -* ("(* ("(** * * )* "*)! "*)!* * )* )* %*) %*) (" (" ,(! ,(!** %$' )* *:* ( )* -(0)* ( *),!'!$.

II. III.

U'* 7(@ 9( "( ))(0 ))(0** * )* )* *)+*)+-** ("(* ("(** * "( "( +$,* +$,* '* '* ,( ,("+-* "+-* () )=$. )=$. L* %*) %*) "( "( +$,* +$,* () () +!(,# +!(,#$$ : )* 7*-!*% 7*-!*%!&' !&' ( ( *)+*)+-*" *" 8*"+ 8*"+** -(+!-(+!-**- () () -(%!#!('+(.















I

C$' )* %*) %*) 7* * 7*-!*7*-!*- )* )* *)+*)+-** ( ,(-% ,(-%-!$ -!$;; %$'"! %$'"!0! 0!(' ('$$ '* '* 7*-!* 7*-!*%!& %!&'' ( *)+-* 9( ("(*,$" : )$ 7*-!*,$".















III

U'* 7(@ U'* 7(@ 9( 9( "( ))(0* ))(0* * )* *)+ *)+-* -* ("(* ("(** * "( "( +$,* +$,* '* '* ,(" ,("+-* +-* () () )=$ )=$.. A'+(" ((,$" %(--*- )* ))*7( ( ("%*-0* #$- )* #*-+( !'(-!$-.

IV

L* %*) %*) "( +$,* +$,* () () +!(,# +!(,#$$ : )* )* 7*-!* 7*-!*%!& %!&'' ( *)+-* *)+-*"" 8*"+ 8*"+** -(+!-* -(+!-*-- () -(%!#!('+(.














FACULTAD DE MECÁNICA 6 11 1.65  11./ 1.4 ! 11. 11.1 12.3 11.13 " 12.3 11.336 1#

115.5// 122.3 125.33 12.236 12.23

metro ro  ómet

1./5 4.256 5.634 5.3 /.66

vs  pit pitot ot

120 100 80

f(x) = 0.13 x^1.36 R² = 0.99

/.14 .4 1.45 /./6 /./

/3.25 //.24 /.5/1 . 2.1















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FACULTAD DE MECÁNICA 100

50














FACULTAD DE MECÁNICA 495 28 21$25 49 485 25.47 31$3 440 21.25 4#$! 160 7.03 4"

0.0176 0.0190 0.0207 0.022

LN(Q) VS LN (h)

*4.035 *3.961 *3.877 *3.783

3.056 3.443 3.709 3.892














FACULTAD DE MECÁNICA 700 1$"5 1140 2$45 11 1970 2$" 1510 3$35

8.93 8 8.52 4.26

78.387 142.5 231.22 354.46

LN(Q) VS LN (h)

4.361 4.959 5.443 5.870

0.667 0.896 1.0647 1.209














FACULTAD DE MECÁNICA 15 9.7 15 10 8.48 1# 10 12.11 5 10 20.5 2

1.546 1.179 0.825 0.488

LN(Q) VS LN (h)

0.436 0.167 *0.191 *0.717

2.708 2.302 1.609 0.693















1" 15 1# 5 2

10 10 10 10 10

6.43 7.46 9.23 12.86 19.69

1.555 1.340 1.083 0.777 0.507

0.441 0.293 0.080 *0.251 *0.677

2.944 2.708 2.302 1.609 0.693
















FACULTAD DE MECÁNICA 9( )* -()*%!&' ( %**) ( *'(,&,(+-$ 7" () %**) ( +$ ( P!+$+ (" )!'(*)














FACULTAD DE MECÁNICA 8++#(()#-$("$-.)*.7( 8++#(()#-$("$.)*.7(!'0('!(-!*$"%*-$-C !'0('!(-!*$"%*-$-C-"$"D!%+*$"( -"$"D!%+*$"(

Labo de Mecanica Medicion de Flujo

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