Tuberias T uberias En Serie Y Paralelo Paralelo http://erivera-2001.com/REDES T!ER"#S.html
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Enviado por nandoste
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14/6/2012
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1494 Palabras PÁGINA 1 DE 6
TUBERIAS EN SERIE Y PARALELO
RESPONSABLES DEL INFORME
!AGUILAR LLEN"UE #ARLOS ALBERT ALBERTO O !BURGA RAMIRE$ %UAN DANIEL !MALDONADO GUE&ARA RAY ANT'ONY
I()r*+,--.( El s),+.* +l l,* ( s.s)3as + ),bras s ,(a + las a5l.-a-.*(s 3s -*3,(s + la 3-(.-a + l,.+*s7 s)* 8a , ( la 3a8*ra + las a-).:.+a+s ;,3a(as s ;a ;-;* -*3<( l ,s* + s.s)3as + ),bras= P*r 35l* la +.s)r.b,-.( + a>,a 8 + >as ( las :.:.(+as7 l l,* + rr.>ra() ( (:ras 8 s.s)3as + rr.>ra-.(7 l l,* + a.r 5*r +,-)*s + rr.>ra-.(7 l,* + >as*l.(a7 a-.)7 8 rr.>ra() ( a,)*3:.ls7 l,* + a-.) ( l*s s.s)3as ;.+r,l.-*s + 3a,.(ar.as7 l l,* + + >as 8 5)rl* ( la .(+,s)r.a 5)r*lra7 l,* + a.r -*35r.3.+* 8 *)r*s l,.+*s , la 3a8*ra + las .(+,s)r.as r,.r( 5ara s, ,(-.*(a3.()*7 8a sa( l,.+*s * >ass= El )ra(s5*r) + s)*s l,.+*s r,.r ()*(-s + la lab*ra-.( + r+s + +.s)r.b,-.( , 5,+( sr + :ar.*s ).5*s ? T,bras ( sr.= ? T,bras ( 5arall*= ? T,bras ra3..-a+as= ? R+s + ),bras
MAR#O #ON#EPTUAL T,bras ( sr. S ;abla + ),bras ( sr. -,a(+* s ,.r ll:ar l l,.+* + ,( 5,()* a *)r* 5,()* 5*r ,( s*l* -a3.(*= #*3* ( l 35l* + la .>,ra= E( s) -as* s -,35l( las l8s s.>,.()s @5.- L*s -a,+als s*( l*s 3.s3*s 5ara -a+a ,(* + l*s )ra3*s + ),bra " "1 "2 C " . Las 5r+.+as + -ar>a + -a+a ,(a + las s--.*(s s s,3a( ;;1;2C;
@5.- @5.- El 3)*+* + -l-,l* s ( s) -as* l s),+.a+* ( l )3a 6 8 s5,+( rs*l:r +.:rs*s ).5*s + 5r*bl3as7 l*s 3s -*3,(s s*( l -l-,l* +l -a,+al ( ,( s.s)3a + ),bras +a+*7 l -l-,l* +l )a3a* r,r.+* + ),bra 5ara 3a(ar ,( -a,+al +a+* 8 l -l-,l* + la 5*)(-.a (-sar.a + ,(a b*3ba * al),ra 5.*3)r.-a r,r.+a 5ara 3a(ar ,( -a,+al +a+* ( ,(a ),bra +a+a= Es)*s )rs ).5*s + 5r*bl3as s r5rs()a( ( la )abla s.>,.() @5.-
L*s 5r*bl3as + -a)>*ra 1 s*( +.r-)*s 8 s a5l.-a( ( l -l-,l* + la 5*)(-.a + ,(a b*3ba7 l*s 5r*bl3as + -a)>*ra 2 8 H ( -a3b.* r,.r( + ,( 5r*-s* .)ra).:* -,a(+* s ,).l.a l +.a>ra3a + M**+8= E.s)( a+3s 3)*+*s a5r*.3a).:*s ( l*s -,als s ,).l.a( ,(as -,a-.*(s 35r.-as 5ara la s*l,-.( + 5r*bl3as + s)as )rs -lass=
❖ U(* + s)*s 3)*+*s s l ,s* + las r3,las + SJa3!%a.( K1967 ,
5r3.)( l -l-,l* 5ara ,( )ra3* + ),bra @5.- @5.-
Ta3b.( s -*3<( 5rsar la 5r+.+a + -ar>a 5ara -a+a )ra3* + ),bra -*3* @5.- D*(+ R s +(*3.(a -*.-.() + rs.s)(-.a 8 l 5*(() :al 2 5ara l,*s )*)al3() ),rb,l()*s 8 ,( :al*r ()r 1 8 2 5ara l,*s ( la *(a + )ra(s.-.(= S.( 3bar>* s s,l ,sar -*3<(3() ,( :al*r + 2= S. s ,).l.a s) ).5* + *r3,la-.( 5ara la 5r+.+a + -ar>a7 la 5r+.+a + -ar>a )*)al7 )*3a(+* )*+*s l*s )ra3*s7 sr @5.- E( s) -as* s. s ,).l.a la -,a-.( + Dar-8!.sba-; 5ara l -l-,l* + la 5r+.+a + -ar>a 8 l +.a>ra3a + M**+8 5ara l -l-,l* +l a-)*r + r.--.(7 2 8 l :al*r + R sr @5.- S. s ,).l.a( las -,a-.*(s + SJa3!%a.( l :al*r + R sr
@5.-
E.s)( )a3b.( *)ras -,a-.*(s 35r.-as , 5r3.)( l -l-,l* +l -*.-.() + rs.s)(-.a= U(a + llas s la 5rs.( + R 5ara la -,a-.( + 'a(!.ll.a3s @5.-D*(+ # s l -*.-.() + 'a(!.ll.a3s , +5(+ s*l* + la as5ra K:r )abla 8 C1 s ,(a -*(s)a() , +5(+ +l s.s)3a + ,(.+a+s ,).l.a+* 5ara SI C1 1079 8 5ara ,(.+a+s .(>lsas C1 472= O)ra + s)as 5rs.*(s 35r.-as s la 5rs.( 5ar R 5ara la -,a-.( + #;8!Ma((.(>7 , s ,sa 3a8*r3() 5ara l,* ( -a(als ab.r)*s7 5r* 5,+
)a3b.( ,).l.ars ( l -as* + l,* ( ),bras7 5r.(-.5al3() -,a+* s s),+.a l l,* ( +r(as , l,8( ll(*s= Para s)a -,a-.( la 5rs.( +l -*.-.() + rs.s)(-.a s @5.-
D*(+ ( s l -*.-.() + Ma((.(> K:r )abla 8 C2 +5(+ +l s.s)3a + ,(.+a+s Para SI C2 1 8 5ara ,(.+a+s .(>lsas C2 2722= La :()aa +l ,s* + s)as
= T*+as las 5rs.*(s a()r.*rs s*( rr.+as a 5r+.+as + -ar>a 5r.3ar.as ( ),bras7 s.( 3bar>* s. ,).l.a3*s l 3)*+* + la l*(>.),+ ,.:al() 5ara las 5r+.+as s-,(+ar.as7 bas)ar s,s).),.r la l*(>.),+ 5*r la s,3a + la l*(>.),+ ral 3s la l*(>.),+ ,.:al()= P*r 35l* ( l -as* + la -,a-.( + Dar-8!.sba-; l :al*r + R sr @5.-
@5.- T,bras ( 5arall* S ;abla + ),bras 5arall* -,a(+* s s)abl-( :ar.*s -a3.(*s 5ara ll:ar l l,.+* + ,( 5,()* a *)r*= #*3* ( l 35l* + la .>,ra @5.- E( s) -as* s -,35l( las l8s s.>,.()s El -a,+al )*)al sr .>,al a la s,3a + l*s -a,+als + -a+a ra3a
" " 1 " 2 C " . La 5r+.+a + -ar>a sr la 3.s3a ( -a+a ,(a + las ra3as ; ; 1 ; 2 C ; @5.- @5.- Es)* ;a- , l*s -a,+als + -a+a ra3a s a,s)( + 3a(ra , s 5r*+,-a la 3.s3a 5r+.+a + -ar>a ( -a+a ra3a + ),bra7 ()r l 5,()* 1 8 l 5,()* 2 5ara l 35l*= S. ( l 35l* + la .>,ra a5l.-a3*s la -,a-.( >(ral + la (r>a ()r l*s 5,()*s 1 8 2 )(+r3*s
@5.-
O l* , s l* 3.s3* @5.-
D*(+ s. s,5*(3*s , ( A 8 B las ),bras s*( .>,als7 las :l*-.+a+s s -a(-la(7 )(+r3*s @5.- D*s ).5*s + 5r*bl3as 5,+( a5ar-r a, ❖ S -*(*- la 5r+.+a + -ar>a ()r l*s 5,()*s A 8 B7 8 s r,.r -al-,lar l*s
-a,+als 5ara -a+a ra3a 8 l -a,+al )*)al= E( s) -as* -*( la 5r+.+a + -ar>a -*(*-.+a s -al-,la( l*s -a,+als + -a+a ra3a -*( -a+a -,a-.( .(+5(+.()3() 8 l -a,+al )*)al sr la s,3a + l*s -a,+als 5ar-.als= ❖ S -*(*- l -a,+al )*)al 8 s r,.r -*(*-r l*s -a,+als 5ar-.als 8 la 5r+.+a + -ar>a E( s) -as* s ).( ,( s.s)3a + -,a-.*(s -*( )a()as -,a-.*(s -*3* ra3as 3s ,(a , r5rs()a la s,3a + -a,+als7 8 s ).( l 3.s3* (<3r* + .(->(.)as #a,+als 5ar-.als 8 5r+.+a + -ar>a=
E( l -as* +l 35l* l s.s)3a sra @5.- P*r l* )a()* 5*+3*s s-r.b.r
@5.- E( l -as* + 3s + +*s ra3as + ),bras sra @5.- E:.+()3() s)* s :,l: ,( 5r*-s* .)ra).:* 5*r, l -*.-.() + 5r+.+a + -ar>a R +5(+ + la :l*-.+a+7 * sa +l -a,+al= A 3(*s , s ,s( *r3,la-.*(s 5ara l -*.-.() + rs.s)(-.a , (* +5(+a( +l (<3r* + R8(*l+s -*3* l + 'a(!.ll.a3s 8 l + #;8!Ma((.(>= E( l -as* + ,sar la *r3,la-.( -*(:(-.*(al + Dar-8!.sba-;7 l 5r*-+.3.()* s,l sr s,5*(r .(.-.al3() , l l,* s (-,()ra ( la r>.( )*)al3() ),rb,l()*7 ( +*(+ l a-)*r +r.--.( (* +5(+ +l (<3r* + R8(*l+s7 -al-,lar b,s-ar l a-)*r + r.--.( ( l +.a>ra3a + M**+8 5ara -a+a ,(a + las ra3as 8 -*( s) l -*.-.() + rs.s)(-.a R= #*( s) :al*r s +)r3.(a l :al*r + la 5r+.+a + -ar>a -*( la -,a-.( @5.- #*( la 5r+.+a + -ar>a s -al-,la l :al*r +l -a,+al7 l (<3r* + R8(*l+s7 l -*.-.() + r.--.( 8 l (,:* -*.-.() + rs.s)(-.a 5ara -a+a ra3a= S :,l: a -al-,lar ,(a 5r+.+a + -ar>a 8 s r5.) l 5r*-+.3.()* )a()as :-s -*3* sa (-sar.*7 5*r l* >(ral (* s*( (-sar.as 3s + )rs :-s=
#*(-l,s.*(s ✓ La (a),rala + l*s s.s)3as 5arall*s r,.r , la )-(.-a ,).l.a+a 5ara s,
a(l.s.s sa +.r() ala , s ,).l.a ( l a(l.s.s + l*s s.s)3as ( sr.= E( >(ral= ,( s.s)3a 5arall* 5,+ )(r -,al,.r (<3r* + ra3as=
✓ U( s.s)3a + ),bras ( 5arall* s) -*(s).),.+* 5*r +*s * 3s ),bras ,7
5ar).(+* + ,( 5,()*7 :,l:( a ,(.rs + (,:* ( *)r* 5,()*7 a>,as aba* +l 5r.3r*
BIBLIOGRAFA QNOMBRE DE LIBRO QAUTOR QTEMA QPAGINAS Q QME#ANI#A DE FLUIDOS E 'IDRAULI#A QRa(al+ &= G.ls / %a- B= E:)) / QFl,* + l,.+*s ( Q160 16 Q Q Q#;(> L., Q),bras Q Q QME#ANI#A DE FLUIDOS APLI#ADA QR*br) M*)) QPr+.+as + E(r>a +b.+*Q2H! 2 Q QQ Qa la r.--.( Q Q Q'IDRAULI#A DE TUBERIAS Y #ANALES QAr),r* R*-;a Fl.-s QRs.s)(-.a + la Q 91 ! 10 Q Q Q Qs,5r.-. ( l Q Q Q Q Q3*:.3.()* ,(.*r3 / Q Q Q Q Q+.s* + ),bras Q Q QME#ANI#A DE FLUIDOS QMrl #= P*))r / Da:.+ #= .>>r)QFl,* ),rb,l()* ( , ( Q 21 ! H0 Q Q Q Q),b* Q Q QME#ANI#A DE FLUIDOS QIr:.(> '= S;a3s QFl,*s ),rb,l()*s QH2 ! H H Q Q Q Q-*(s.+ra-.*(s Q Q Q Q Q5r.3()als Q Q
QAPUNTES DE 'IDRAULI#A TE#NI#A QFr((+ B*(*7 %,a( F 8 Mar-* QPr+.+a + -ar>a ( Q Q Q QS>,ra7 %,a( B Q),bras Q Q
Tuberias En Serie Y Paralelo •
Enviado por nandoste
•
14/6/2012
•
1494 Palabras PÁGINA 1 DE 6
TUBERIAS EN SERIE Y PARALELO
RESPONSABLES DEL INFORME
!AGUILAR LLEN"UE #ARLOS ALBERTO !BURGA RAMIRE$ %UAN DANIEL !MALDONADO GUE&ARA RAY ANT'ONY
I()r*+,--.( El s),+.* +l l,* ( s.s)3as + ),bras s ,(a + las a5l.-a-.*(s 3s -*3,(s + la 3-(.-a + l,.+*s7 s)* 8a , ( la 3a8*ra + las a-).:.+a+s ;,3a(as s ;a ;-;* -*3<( l ,s* + s.s)3as + ),bras= P*r 35l* la +.s)r.b,-.( + a>,a 8 + >as ( las :.:.(+as7 l l,* + rr.>ra() ( (:ras 8 s.s)3as + rr.>ra-.(7 l l,* + a.r 5*r +,-)*s + rr.>ra-.(7 l,* + >as*l.(a7 a-.)7 8 rr.>ra() ( a,)*3:.ls7 l,* + a-.) ( l*s s.s)3as ;.+r,l.-*s + 3a,.(ar.as7 l l,* + + >as 8 5)rl* ( la .(+,s)r.a 5)r*lra7 l,* + a.r -*35r.3.+* 8 *)r*s l,.+*s , la 3a8*ra + las .(+,s)r.as r,.r( 5ara s, ,(-.*(a3.()*7 8a sa( l,.+*s * >ass= El )ra(s5*r) + s)*s l,.+*s r,.r ()*(-s + la lab*ra-.( + r+s + +.s)r.b,-.( , 5,+( sr + :ar.*s ).5*s ? T,bras ( sr.= ? T,bras ( 5arall*= ? T,bras ra3..-a+as= ? R+s + ),bras
MAR#O #ON#EPTUAL
T,bras ( sr. S ;abla + ),bras ( sr. -,a(+* s ,.r ll:ar l l,.+* + ,( 5,()* a *)r* 5,()* 5*r ,( s*l* -a3.(*= #*3* ( l 35l* + la .>,ra= E( s) -as* s -,35l( las l8s s.>,.()s @5.- L*s -a,+als s*( l*s 3.s3*s 5ara -a+a ,(* + l*s )ra3*s + ),bra " "1 "2 C " . Las 5r+.+as + -ar>a + -a+a ,(a + las s--.*(s s s,3a( ;;1;2C;
@5.- @5.- El 3)*+* + -l-,l* s ( s) -as* l s),+.a+* ( l )3a 6 8 s5,+( rs*l:r +.:rs*s ).5*s + 5r*bl3as7 l*s 3s -*3,(s s*( l -l-,l* +l -a,+al ( ,( s.s)3a + ),bras +a+*7 l -l-,l* +l )a3a* r,r.+* + ),bra 5ara 3a(ar ,( -a,+al +a+* 8 l -l-,l* + la 5*)(-.a (-sar.a + ,(a b*3ba * al),ra 5.*3)r.-a r,r.+a 5ara 3a(ar ,( -a,+al +a+* ( ,(a ),bra +a+a= Es)*s )rs ).5*s + 5r*bl3as s r5rs()a( ( la )abla s.>,.() @5.-
L*s 5r*bl3as + -a)>*ra 1 s*( +.r-)*s 8 s a5l.-a( ( l -l-,l* + la 5*)(-.a + ,(a b*3ba7 l*s 5r*bl3as + -a)>*ra 2 8 H ( -a3b.* r,.r( + ,( 5r*-s* .)ra).:* -,a(+* s ,).l.a l +.a>ra3a + M**+8= E.s)( a+3s 3)*+*s a5r*.3a).:*s ( l*s -,als s ,).l.a( ,(as -,a-.*(s 35r.-as 5ara la s*l,-.( + 5r*bl3as + s)as )rs -lass= ❖ U(* + s)*s 3)*+*s s l ,s* + las r3,las + SJa3!%a.( K1967 ,
5r3.)( l -l-,l* 5ara ,( )ra3* + ),bra @5.-
@5.-
Ta3b.( s -*3<( 5rsar la 5r+.+a + -ar>a 5ara -a+a )ra3* + ),bra -*3* @5.- D*(+ R s +(*3.(a -*.-.() + rs.s)(-.a 8 l 5*(() :al 2 5ara l,*s )*)al3() ),rb,l()*s 8 ,( :al*r ()r 1 8 2 5ara l,*s ( la *(a + )ra(s.-.(= S.( 3bar>* s s,l ,sar -*3<(3() ,( :al*r + 2= S. s ,).l.a s) ).5* + *r3,la-.( 5ara la 5r+.+a + -ar>a7 la 5r+.+a + -ar>a )*)al7 )*3a(+* )*+*s l*s )ra3*s7 sr @5.- E( s) -as* s. s ,).l.a la -,a-.( + Dar-8!.sba-; 5ara l -l-,l* + la 5r+.+a + -ar>a 8 l +.a>ra3a + M**+8 5ara l -l-,l* +l a-)*r + r.--.(7 2 8 l :al*r + R sr @5.- S. s ,).l.a( las -,a-.*(s + SJa3!%a.( l :al*r + R sr
@5.-
E.s)( )a3b.( *)ras -,a-.*(s 35r.-as , 5r3.)( l -l-,l* +l -*.-.() + rs.s)(-.a= U(a + llas s la 5rs.( + R 5ara la -,a-.( + 'a(!.ll.a3s @5.-D*(+ # s l -*.-.() + 'a(!.ll.a3s , +5(+ s*l* + la as5ra K:r )abla 8 C1 s ,(a -*(s)a() , +5(+ +l s.s)3a + ,(.+a+s ,).l.a+* 5ara SI C1 1079 8 5ara ,(.+a+s .(>lsas C1 472= O)ra + s)as 5rs.*(s 35r.-as s la 5rs.( 5ar R 5ara la -,a-.( + #;8!Ma((.(>7 , s ,sa 3a8*r3() 5ara l,* ( -a(als ab.r)*s7 5r* 5,+ )a3b.( ,).l.ars ( l -as* + l,* ( ),bras7 5r.(-.5al3() -,a+* s s),+.a l l,* ( +r(as , l,8( ll(*s= Para s)a -,a-.( la 5rs.( +l -*.-.() + rs.s)(-.a s @5.-
D*(+ ( s l -*.-.() + Ma((.(> K:r )abla 8 C2 +5(+ +l s.s)3a + ,(.+a+s Para SI C2 1 8 5ara ,(.+a+s .(>lsas C2 2722= La :()aa +l ,s* + s)as = T*+as las 5rs.*(s a()r.*rs s*( rr.+as a 5r+.+as + -ar>a 5r.3ar.as ( ),bras7 s.( 3bar>* s. ,).l.a3*s l 3)*+* + la l*(>.),+ ,.:al() 5ara las 5r+.+as s-,(+ar.as7 bas)ar s,s).),.r la l*(>.),+ 5*r la s,3a + la l*(>.),+ ral 3s la l*(>.),+ ,.:al()= P*r 35l* ( l -as* + la -,a-.( + Dar-8!.sba-; l :al*r + R sr @5.-
@5.- T,bras ( 5arall* S ;abla + ),bras 5arall* -,a(+* s s)abl-( :ar.*s -a3.(*s 5ara ll:ar l l,.+* + ,( 5,()* a *)r*= #*3* ( l 35l* + la .>,ra @5.- E( s) -as* s -,35l( las l8s s.>,.()s El -a,+al )*)al sr .>,al a la s,3a + l*s -a,+als + -a+a ra3a " " 1 " 2 C " . La 5r+.+a + -ar>a sr la 3.s3a ( -a+a ,(a + las ra3as
; ; 1 ; 2 C ; @5.- @5.- Es)* ;a- , l*s -a,+als + -a+a ra3a s a,s)( + 3a(ra , s 5r*+,-a la 3.s3a 5r+.+a + -ar>a ( -a+a ra3a + ),bra7 ()r l 5,()* 1 8 l 5,()* 2 5ara l 35l*= S. ( l 35l* + la .>,ra a5l.-a3*s la -,a-.( >(ral + la (r>a ()r l*s 5,()*s 1 8 2 )(+r3*s
@5.-
O l* , s l* 3.s3* @5.-
D*(+ s. s,5*(3*s , ( A 8 B las ),bras s*( .>,als7 las :l*-.+a+s s -a(-la(7 )(+r3*s @5.- D*s ).5*s + 5r*bl3as 5,+( a5ar-r a, ❖ S -*(*- la 5r+.+a + -ar>a ()r l*s 5,()*s A 8 B7 8 s r,.r -al-,lar l*s
-a,+als 5ara -a+a ra3a 8 l -a,+al )*)al= E( s) -as* -*( la 5r+.+a + -ar>a -*(*-.+a s -al-,la( l*s -a,+als + -a+a ra3a -*( -a+a -,a-.( .(+5(+.()3() 8 l -a,+al )*)al sr la s,3a + l*s -a,+als 5ar-.als= ❖ S -*(*- l -a,+al )*)al 8 s r,.r -*(*-r l*s -a,+als 5ar-.als 8 la 5r+.+a + -ar>a E( s) -as* s ).( ,( s.s)3a + -,a-.*(s -*( )a()as -,a-.*(s -*3* ra3as 3s ,(a , r5rs()a la s,3a + -a,+als7 8 s ).( l 3.s3* (<3r* + .(->(.)as #a,+als 5ar-.als 8 5r+.+a + -ar>a=
E( l -as* +l 35l* l s.s)3a sra @5.-
P*r l* )a()* 5*+3*s s-r.b.r
@5.- E( l -as* + 3s + +*s ra3as + ),bras sra @5.- E:.+()3() s)* s :,l: ,( 5r*-s* .)ra).:* 5*r, l -*.-.() + 5r+.+a + -ar>a R +5(+ + la :l*-.+a+7 * sa +l -a,+al= A 3(*s , s ,s( *r3,la-.*(s 5ara l -*.-.() + rs.s)(-.a , (* +5(+a( +l (<3r* + R8(*l+s -*3* l + 'a(!.ll.a3s 8 l + #;8!Ma((.(>= E( l -as* + ,sar la *r3,la-.( -*(:(-.*(al + Dar-8!.sba-;7 l 5r*-+.3.()* s,l sr s,5*(r .(.-.al3() , l l,* s (-,()ra ( la r>.( )*)al3() ),rb,l()*7 ( +*(+ l a-)*r +r.--.( (* +5(+ +l (<3r* + R8(*l+s7 -al-,lar b,s-ar l a-)*r + r.--.( ( l +.a>ra3a + M**+8 5ara -a+a ,(a + las ra3as 8 -*( s) l -*.-.() + rs.s)(-.a R= #*( s) :al*r s +)r3.(a l :al*r + la 5r+.+a + -ar>a -*( la -,a-.( @5.- #*( la 5r+.+a + -ar>a s -al-,la l :al*r +l -a,+al7 l (<3r* + R8(*l+s7 l -*.-.() + r.--.( 8 l (,:* -*.-.() + rs.s)(-.a 5ara -a+a ra3a= S :,l: a -al-,lar ,(a 5r+.+a + -ar>a 8 s r5.) l 5r*-+.3.()* )a()as :-s -*3* sa (-sar.*7 5*r l* >(ral (* s*( (-sar.as 3s + )rs :-s=
#*(-l,s.*(s ✓ La (a),rala + l*s s.s)3as 5arall*s r,.r , la )-(.-a ,).l.a+a 5ara s,
a(l.s.s sa +.r() ala , s ,).l.a ( l a(l.s.s + l*s s.s)3as ( sr.= E( >(ral= ,( s.s)3a 5arall* 5,+ )(r -,al,.r (<3r* + ra3as=
✓ U( s.s)3a + ),bras ( 5arall* s) -*(s).),.+* 5*r +*s * 3s ),bras ,7
5ar).(+* + ,( 5,()*7 :,l:( a ,(.rs + (,:* ( *)r* 5,()*7 a>,as aba* +l 5r.3r*
BIBLIOGRAFA QNOMBRE DE LIBRO QAUTOR QTEMA QPAGINAS Q QME#ANI#A DE FLUIDOS E 'IDRAULI#A QRa(al+ &= G.ls / %a- B= E:)) / QFl,* + l,.+*s ( Q160 16 Q Q Q#;(> L., Q),bras Q Q QME#ANI#A DE FLUIDOS APLI#ADA QR*br) M*)) QPr+.+as + E(r>a +b.+*Q2H! 2 Q QQ Qa la r.--.( Q Q Q'IDRAULI#A DE TUBERIAS Y #ANALES QAr),r* R*-;a Fl.-s QRs.s)(-.a + la Q 91 ! 10 Q Q Q Qs,5r.-. ( l Q Q Q Q Q3*:.3.()* ,(.*r3 / Q Q Q Q Q+.s* + ),bras Q Q QME#ANI#A DE FLUIDOS QMrl #= P*))r / Da:.+ #= .>>r)QFl,* ),rb,l()* ( , ( Q 21 ! H0 Q Q Q Q),b* Q Q QME#ANI#A DE FLUIDOS QIr:.(> '= S;a3s QFl,*s ),rb,l()*s QH2 ! H H Q Q Q Q-*(s.+ra-.*(s Q Q Q Q Q5r.3()als Q Q QAPUNTES DE 'IDRAULI#A TE#NI#A QFr((+ B*(*7 %,a( F 8 Mar-* QPr+.+a + -ar>a ( Q Q Q QS>,ra7 %,a( B Q),bras Q Q
tuberias en serie $ paralelo •
Enviado por diego93rocha
•
2//2014
•
101H Palabras PÁGINA 1 DE
(+.- I()r*+,--.(= =4 T,bras ( sr. = T,bras ( Parall* =6 S.s)3a + R.>* = I35*r)a(-.a + las T,bras= #*(-l,s.( 9 B.bl.*>raa =10 #r.)r.*s a :al,ar =11 A(* =12 A(*
==1H
I()r*+,--.( El )raba* + .(:s).>a-.( + Fl,* ( S.s)3as + T,bras ).( 5*r *b).:* al -,35l.3.()* a l*s r,r.3.()*s + la -)+ra + Fs.-a A5l.-a+a a la I(>(.ra= El s),+.* +l l,* ( s.s)3as + ),bras s ,(a + las a5l.-a-.*(s 3s -*3,(s + la 3-(.-a + l,.+*s7 s)* 8a , ( la 3a8*ra + las a-).:.+a+s ;,3a(as s ;a ;-;* -*3<( l ,s* + s.s)3as + ),bras= Es)*s s.s)3as s*( 3,8 ,).l.a+*s ( (,s)ra -*3,(.+a+=
T,bras U(a ),bra s ,( -*(+,-)* , -,35l la ,(-.( + )ra(s5*r)ar a>,a , *)r*s l,.+*s= S s,l lab*rar -*( 3a)r.als 3,8 +.:rs*s= #,a(+* l l,.+* )ra(s5*r)a+* s 5)rl*7 s ,).l.a la +(*3.(a-.( s5-.-a + *l*+,-)*= #,a(+* l l,.+* )ra(s5*r)a+* s >as7 s ,).l.a la +(*3.(a-.( s5-.-a + >as*+,-)*= Ta3b.( s 5*s.bl )ra(s5*r)ar 3+.a() ),bra *(a+a 3a)r.als ,7 s. b.( (* s*( ,( l,.+*7 s a+-(7 -3()*7 -rals7 +*-,3()*s (-a5s,la+*s7 )-)ra T,bras ( Sr. U( s.s)3a + ),bras ( sr. s) *r3a+* 5*r ,( -*(,()* + ),bras -*(-)a+as ,(a a -*().(,a-.( + la *)ra 8 , -*35ar)( l 3.s3* -a,+al= T,bras ( 5arall*
U( s.s)3a + ),bras ( 5arall* s) *r3a+* 5*r ,( -*(,()* + ),bras , (a-( ( ,( 3.s3* 5,()* .(.-.al 8 )r3.(a( ( ,( <(.-* 5,()* .(al=
S.s)3as + R.>* Las ,(.+a+s + *5ra-.( ( r.>*7 *b)* + +.s*7 s +(*3.(a( )ablas 8 s )ra)a + ,(a 5ar-la 3s * 3(*s r>,lar +.:.+.+a ( -a()r*s7 s*br l*s , s a5l.-a l r.>*= S. l s,l* ).( 5(+.() )(3*s l*s r.>*s 5*r s-,rr.3.()* 8 s. (* ).(7 r.>*s 5*r .(,(+a-.(= Es)a s la -las..-a-.( 3s s.35l +l r.>* 5*r s,5r.-. R.>* 5*r S,r-* El r.>* 5*r s,r-* s l ;ab.),al + l*s -,l).:*s ( l(a7 ( l s,r-* l a>,a +.s-,rr 5*r s, 5ar) .(r.*r 8 las 5la()as >(ral3() *-,5a( l*s l*3*s +l 3.s3* El (<3r* + s,r-*s , s r.>a( s.3,l)(a3() 5,+ sr a,s)a+* al -a,+al +.s5*(.bl= El -*s) + .(:rs.( s 3,8 ba* 8 la -*(s)r,--.( +l s,r-* 5,+ ral.arla l 5r*5.* a>r.-,l)*r= Es)a 3*+al.+a+ + r.>* 5*r s,5r.-. ).( l.3.)a-.*(s ( -,a()* al r.s>* + r*s.(7 al)a s-*rr()a al .(al +l s,r-* 8 al)a .(.l)ra-.( ( s,l*s ar(*s*s= L*s s,r-*s l.(als s*( l*s 3s r-,()s 5r* -,a(+* ;a8,r) 5(+.()7 s)a s :.)a 3+.a() l*s s,r-*s + -*()*r(*= E( +)r3.(a+as *-as.*(s 5ara a,3()ar la l*(>.),+ + l*s s,r-*s s 5,+( +.sar s)*s ( *r3a + .>!a>=
La .35*r)a(-.a , ).( las ),bras -*( rla-.( a la -arrra + I(>(.ra A>r*(3.-a La 3*+r(a a>r.-,l),ra + r.>* .35l.-a l al3a-(a3.()*7 -*(+,--.(7 +.s)r.b,-.( 8 a5l.-a-.( +l a>,a ( l*s )rr(*s a>r-*las7 ,).l.a(+* 5ara ll* +.r()s s)r,-),ras7 -*3* 5rsas 5ara l al3a-(a3.()*7 r5rsas 8 -*35,r)as 5ara l -*()r*l 8 3+.-.(7 -a(als 5ara la -*(+,--.( 8 +.s)r.b,-.(7 as -*3* ),bras 8 *)r*s +.s5*s.).:*s 5rs,r.a+*s , 5r3.) la +.s)r.b,-.( 8 a5l.-a-.( + a>,a ( l r.>*= El .(>(.r* a>r(*3* +b -*()ar -*( l*s l3()*s (-sar.*s 5ara l +.s* 8 :al,a-.( + l*s s.s)3as + r.>*7 +s+ l al3a-(a3.()* 8 )ra--.(7 -*(+,--.( 8 +.s)r.b,-.( ;as)a la a5l.-a-.( +l a>,a + r.>*=
Para ll*7 +b -*(*-r l*s 5r.(-.5.*s >(rals , r.>( l 3*:.3.()* + a>,a ( l*s -*(+,-)*s7 las ,ras , a-),a , -.r-,la( 5*r l*s -*(+,-)*s= La .35*r)a(-.a + ),bras ( l 5la( + s),+.*s +l I(>(.r* A>r(*3*7 ra+.-a ( s, rla-.( 8 -*(*-.3.()* bs.-* 5ara 5r*8-)*s + .rr.>a-.( 8 +r(a= El l,* + l,.+*s 5r3.) +ar al s),+.a() l -*(*-.3.()* -,al.)a).:* 8 -,a().)a).:* +l l,* + a>,a a )ra:s+ -*(+,-)*s -rra+*s K),bra 8 -a(als ab.r)*s + +.r()s *r3as 8 5(+.()s7 ba* +.r()s r>3(s + l,*7 + 3*+* , 5,+a )(r l*s -r.)r.*s (-sar.*s 5ara l +.s* + r+s + r.>* , sa( .-.()s 8 ,(-.*(als=
#*(-l,s.( Al -*(-l,.r l 5rs() )raba* + .(:s).>a-.( s*br la r+ + ),bras7 ++,-.3*s , s) basa+a ( +*s )*rasV Sr. 8 Parallas= La )*ra + sr. s) *r3a+a 5*r ,( -*(,()* + ),bras -*(-)a+as ,(a a -*().(,a-.( + la *)ra 8 , -*35ar)( l 3.s3* -a,+al= La )*ra 5aralla s) *r3a+a 5*r ,( -*(,()* + ),bras , (a-( ( ,( 3.s3* 5,()* .(.-.al 8 )r3.(a( ( ,( <(.-* 5,()* .(al= Es)a +*s )*ras s a5l.-a( ( l ,s* 5ara la +.s)r.b,-.( + a>,a 8 + >as ( las :.:.(+as7 l l,* + rr.>ra() ( (:ras 8 s.s)3as + rr.>ra-.(7 l l,* + a.r 5*r +,-)*s + rr.>ra-.(7 l,* + >as*l.(a7 a-.)7 8 rr.>ra() ( a,)*3:.ls7 l,* + a-.) ( l*s s.s)3as ;.+r,l.-*s + 3a,.(ar.as7 l l,* + + >as 8 5)rl* ( la .(+,s)r.a 5)r*lra7 l,* + a.r -*35r.3.+* 8 *)r*s l,.+*s , la 3a8*ra + las .(+,s)r.as r,.r( 5ara s, ,(-.*(a3.()*7 8a sa( l,.+*s * >ass=
B.bl.*>raas 1= ;))5//s=s-r.b+=-*3/+*-/2H46/2/#OMBINA#ION!DE!TUBERIAS!EN!SERIE! Y!PARALELO 2= ;))5//s-,las=.=,ba=ar/..s/T,br.asSr.Parall*=5+ H=;))5//Jb+l5r*s*r=,la=:/.(>(.r.a/+a(/.(+War-;.:*s/D*-,3()*s/MFWFl,* W(Ws.s)3asW+W),br.as=5+ 4= ;))5//s=J..5+.a=*r>/J../T,brX#HXADasW(Wsr.
= ;))5//JJJ=b,(as)aras=-*3/(sa8*s/T,br.as!E(!Sr.!8!Parall*/44644=;)3l 6= ;))5//JJJ=>**>l=-*3=58/.3>rs .3>,rl;))5//Jb=.(>=5,-=-l/Z5*Jr/al,3(*10/b*3ba-al*r/Traba*G'P! IENHH20War-;.:*s/.3a>H1=>.[.3>r,rl;))5//Jb=.(>=5,-=-l/Z5*Jr/al,3(*10/b* 3ba-al*r/Traba*G'P! IENHH20War-;.:*s/Pa>06=;)3[,s>WWl4F+T&)\#,+B-E4&baHB,JU[;414 [JH90[s1[;ls[s)ar)6[**31[)b(.+GA3N+1s3! +2;M[)b(;12[)b(J11[.a(CBUMsI,P0"'F1Y'I#J[5r:/sar-;XHF XHD),br.asX2B(X2Bsr.X2B8X2B5arall*X26,3XHD1X26;lXHDsX26sa XHDNX26b.JXHD1241X26b.;XHD606X26)b3XHD.s-;[,31[.)bs1
#r.)r.*s + :al,a-.( + la 5rs()a-.(= 1= Or+( l>.-* + la 5rs()a-.( 25 2= S>,r.+a+ +l )3a 25 H= U).l.a :*-ab,lar.* a+-,a+* 25 4= #ra).:.+a+ ( la 5rs()a-.( 25 = Rs5*(+ 5r>,()as -*( s>,r.+a+ 25 I()>ra()s 1 2 H 4 1 D.>* A+r.a( G*(al R*-;a
2 R.-ar+* E3a(,l S-;l(+r &.llar
H A(>l Fab.a( Mar).( Fl*r().(
4 #r.s);.a( Ra3*( Ra3.r
A(* Las ),bras :a( al +sa>] -l*a-al T,bra ( sr. T,bra ( 5arall* T,bra ( sr. + ,(a .(+,s)r.a T,bra ( 5arall* + ,( s.s)3a + >as