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Ejercicio Cálculo de Perfil de Flujo Gradualmente Variado
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Ejercicio Cálculo de Perfil de Flujo Gradualmente Variado
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William Espinosa Mora
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EJERCICIO CÁLCULO DE PERFIL DE FLUJO GRADUALMENTE VARIADO
PRESENTADO POR: WILLIAM ESPINOSA MORA
PRESENTADO A: Ing. GERMAN MONSALVE SAENZ
CÁLCULO DE PERFIL DE FLUJO GADUALMENTE VARIADO 1. Prob oble lema ma:: Dibuar ! "al"ular el #er$l %e &uo 'ra%ualme()e *aria%o %el "a(al mo+)ra%o e( el E+,uema No.1- a+imi+mo %e)ermi(ar +i ei+)e re+al)o /i%r0 i%r0ul uli" i"o o ! %e)e %e)errmi(a mi(arr %o( %o(%e +e or orma bao bao la+ la+ +i'u i'uie() ie()e+ e+ "o(%i"io(e+ %e &uo: • • •
• •
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1
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•
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•
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Esquema No.2 – Dibujo posibles perfles de ujo del canal a analizar
7. C0l"ulo #er$l %e &uo 'ra%ualme()e *aria%o Para el "0l"ulo %el #er$l %e &uo 'ra%ualme()e *aria%o +e realiBara u)iliBa(%o el m;)o%o %el #a+o a #a+o ma()e(ie(%o u( "o(+)a()e- a "o()i(ua"i?( +e #re+e()a el a(0li+i+ %e)alla%o %el #er$l ! ubi"a"i?( #re"i+a %el re+al)o /i%r0uli"o. Te(ie(%o e( "ue()a la+ +i'uie()e+ e"ua"io(e+ +e realiB? el #ro"e+o %e "0l"ulo. ∆ x=
∆E (1 ) So − ´ Sf
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Para "al"ular E e+ (e"e+ario )e(er e( "ue()a ,ue +e realiBa "o( la e"ua"i?( 97 2
V (3) E=Y + α 2g
•
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PERFIL H2 $% &'()(* ('+(' ,- ('+-/g- ,)0/' 1-)- -g-+ -//)0-3 *n 45 6 .2 & 5$ &3 !. " " !. " !. " !. 2 " !. " !. " " !.
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Tabla No.2 – Cálculos perfl !2
1.4 1.5 46.4 46.
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1.71
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4.1
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6.66 6
6.616
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Tabla No." – Cálculos perfl #2
•
C0l"ulo (i*el %e a'ua+ e( la ue()e alime()a%ora a()e+ %el i(i"io %el "a(al Para el "0l"ulo %el (i*el %e la ue()e alime()a%ora 9 +e )ie(e la +i'uie()e e"ua"i?(: 2
2
α V α V + Ke H =Y + 2g 2g
Ca%a u(o %e e+)o+ %a)o+ +e )oma( %e la )abla No.7 %o(%e 3 56 m ! "o( u( "oe$"ie()e %e #er%i%a %e e(er'
1.
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5.4
71.
44.57
6.6 6. 1 6.77 6 6.7 6 6.76 5 6.47 5 6.4 1
6.6 6
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6.6
6.6 7
6.6 16
6.6
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6.65
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Tabla No.$ – Cálculos perfl "
Da)o+ Cur*a %e #rou(%i%a% +e"ue()e #er$l 7 Te(ie(%o e( "ue()a la e"ua"i?( No. +e "al"ularo( la+ al)ura+ +e"ue()e+ %e "a%a *alor %e 1 ob)e(ie(%o la +i'uie()e )abla %e re+ul)a%o+: 5 !$&3 ."
NF! .
5 2$&3 7.6
5!$&3 6.
NF! 1.7
5 2$&3 1.
Toma(%o lo+ *alore+ "al"ula%o+ e( la )abla No.1 9Per$l 4- )abla No. 9Per$l 7 ! )abla No.5 9CP> +e ob)ie(e la +i'uie()e 'ra$"a ,ue rela"io(a la+ #rou(%i%a%e+ %e la l0mi(a %e a'ua 9 ! la #o+i"i?( e( %e "a%a u(a- +ie(%o el ori'e( a #ar)ir %el $(al %el )ramo 4.
7.5 7 4.5
realiB? u)iliBa(%o u("i?( obe)i*o e( la )abla No.1 e i'ualme()e e( la )abla No. #ara el *alor %e 3 14.5 m +e ob)u*iero( lo+ +i'uie()e+ re+ul)a%o+: PERFIL H2 $% &'()(* ('+(' n-, /-&* 1-)- -g-+ -//)0-3 5 6 .2 & 5$& 3 !.
A$& 2 3
P$ &3
R$ &3
R7$89 3
.65
. 4
1.65 6
1.6
V$&; +3
4.
<=$V>;2g3 $&3
E$& 3
6.7
4.1
4E$&3
Sf
S?f
6.661
6.661 16
6.661 15
S* # S?f
4@$ &3
%$ &3
6.661 15
1.47
4. 4
F'/'+')$F'3 15.4
Tabla No., – De(alle de cálculos de la pro'undidad secuen(e de 2 PERFIL H $% &'()(* ('+(' *&)'n* /-&* 1-)- -g-+ -0-*3 5 6 .2 & 5$& 3 !.
A$& 2 3
P$ &3
R$ &3
5.6
.6 4
6. 4
R7$89 3
6.
V$&; +3
.
<=$V>;2g3 $&3
E$ &3
4E$& 3
1.45
4.4
6.671 7
Sf
S?f
6.66
6.66
S* # S?f 6.66
Tabla No.- – De(alle de cálculos de la pro'undidad secuen(e de "
4@$ &3
7.57
%$&3
14.5
F'/'+')$F'3 15.4
E( "o("lu+i?( )e(ie(%o e( "ue()a la+ )abla+ No. ! No. el re+al)o /i%r0uli"o +e orma e( el )ramo 7 9)ramo /oriBo()al- %ebi%o a ,ue la "ur*a %e #rou(%i%a% +e"ue()e9CP> %el #er$l 7 +e "ruBa "o( el #er$l 4 ! #or Hl)imo +e "om#rueba e+)a "o(%i"i?( %e)ermi(a(%o ,ue la uerBa e+#e"<$"a %el #er$l 4 ! el #er$l 7 e( el #u()o %e i()er+e""i?( %el #er$l 4 ! la CP> e+ i'ual"o(+e"ue()eme()e el re+al)o /i%r0uli"o +e orma a u(a %i+)a("ia %e 4.4 m %el $(al %el "a(al 9%e+"ar'a libre. >e #re+e()a el #er$l %e &uo 'ra%ualme()e *aria%o e( la 'r0$"a No.4 ! e( el e+,uema No.7.
7
4.5
Re+al)o 4
Al)ura lami(a %e a'ua9m
1.5
7 CP> >4 A4
1
6.5
6 6
56
166
156
466
456
Po+i"i?( "o( re+#e")o el $(al %el )ramo 4 9m
)ráfca No.2 – Perfl de ujo radualmen(e &ariado
766
756
Esquema No." – Dibujo Perfl de ujo radualmen(e &ariado
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