ejercicio cálculo de perfil de flujo gradualmente variado

8/17/2019 Ejercicio Cálculo de Perfil de Flujo Gradualmente Variado

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EJERCICIO CÁLCULO DE PERFIL DE FLUJO GRADUALMENTE VARIADO

PRESENTADO POR:

WILLIAM ESPINOSA MORA

PRESENTADO A:

Ing. GERMAN MONSALVE SAENZ


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CÁLCULO DE PERFIL DE FLUJO GADUALMENTE

VARIADO

1. Problema:Dibuar ! "al"ular el #er$l %e &uo 'ra%ualme()e *aria%o %el "a(almo+)ra%o e( el E+,uema No.1- a+imi+mo %e)ermi(ar +i ei+)e re+al)o/i%r0uli"o ! %e)ermi(ar %o(%e +e orma bao la+ +i'uie()e+"o(%i"io(e+ %e &uo:

• 2 3 45.6 m78+• Coe$"ie()e %e ru'o+i%a% %e Ma((i(' 9( 3 6.615• Coe$"ie()e %e #;r%i%a+ %e e(er'


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1= 25.0

(5.00)Yc√ 9.81 (Yc )

>olu"io(a(%o +e )ie(e " 3 1.7 m

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Q= A

n R

2 /3S1 /2

25.0= 5.0

0.015 ( 5.0Yn

2.0Yn+5.0 )2/3

(0.10)1/ 2

>olu"io(a(%o +e )ie(e ( 3 6.5 m

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• >e""io(e+ %e "o()rol /i%r0uli"o

C )i


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>19&uo +ub"r49 &uo +H#er "ri)i"o- #or u( la%o +i el re+al)o/i%r0uli"o +e orma e( el )ramo 4 +i'ue el #er$l !a %e+"ri)oa()eriorme()e orma(%o el re+al)o e()re u( #er$l >4 ! >1-mie()ra+ ,ue +i el re+al)o /i%r0uli"o +e orma e( el )ramo 7- a#ar)ir %el $(al %el )ramo 4 +e orma u( #er$l 79&uo +H#er"ri)i"o ! +e orma u( re+al)o /i%r0uli"o e()re el #er$l 7 ! 4.Por Hl)imo +e 'e(era u( #er$l A4 a'ua+ arriba %el )ramo 1i(i"ia(%o e( ".


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• Dibuo %e lo+ #o+ible+ #er$le+ %e &uo

Esquema No.2 – Dibujo posibles perfles de ujo del canal a analizar


6/21

7. C0l"ulo #er$l %e &uo 'ra%ualme()e *aria%o

Para el "0l"ulo %el #er$l %e &uo 'ra%ualme()e *aria%o +e realiBarau)iliBa(%o el m;)o%o %el #a+o a #a+o ma()e(ie(%o u( "o(+)a()e- a"o()i(ua"i?( +e #re+e()a el a(0li+i+ %e)alla%o %el #er$l ! ubi"a"i?(#re"i+a %el re+al)o /i%r0uli"o.

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∆ x= ∆ E

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Do(%e

∆ E= Ei− E i−1(2)

Para "al"ular E e+ (e"e+ario )e(er e( "ue()a ,ue +e realiBa "o( lae"ua"i?( 97

E=Y +α V

2

2g(3)

>o: Pe(%ie()e %el o(%o %el "a(al


7/21

• Per$l 4A "o()i(ua"i?( +e #re+e()a u(a )abla %e re+ul)a%o+ %el "0l"ulo

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Tabla No.2 – Cálculos perfl !2


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1.

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(alPara el "0l"ulo %el (i*el %e la ue()e alime()a%ora 9 +e )ie(ela +i'uie()e e"ua"i?(:

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14/21

Per$l 7A "o()i(ua"i?( +e #re+e()a u(a )abla %e re+ul)a%o+ %el "0l"ulo

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7.5714.5 15.1

!.2 5.1

.6

6.7 6. . 1.41

4.47

6.64

76.661

6.66

6.66

7.7176. 15.6

!. .1 6. 4.4

6.645 6.66 6.66

6.66 17.


16/21

7

!. .5

.4

6. 6.4 7.4 6.

4.65

6.667

76.666

6.661

6.66

1 6.616.77 1.64

!.2 .

.

6. 6.7 7. 6.4

4.65

6.664

76.667

6.667

6.667

6.516.6 1.66

!. .

.6

6. 6. 7.1 6.6

4.65

6.661

76.667

6.667

6.667

6.711.4 1.66

!." .

.

6. 6.5 7.5 6.

4.65

6.666

6.6675

6.667

6.667

6.1611.7 17.

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 %ere+ul)a%o+:

5 !$&3 NF! 5 2$&3 5 !$&3 NF! 5 2$&3

." . 7.6 6. 1.7 1.

. . 7.66 6. 1. 1.


17/21

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 ,uerela"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.

4.5

7

7.5


18/21

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$&23

P$&3

R$&3

R7$89 3

V$&;+3

;2g3$&3

E$&3

4E$&3 Sf S?f S* #S?f

4@$&3

%$&3

F'/-'+')-

$F'3

!. .65

.4

1.656

1.6 4. 6.7

4.1

6.661

6.661

166.661

15

6.661

15 1.474.

4 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$&23

P$&3

R$&3

R7$89 3

V$&;+3

;2g3$&3

E$&3

4E$&3

Sf S?f S* #S?f

4@$&3

%$&3 F'/-'+')-

$F'3

!. 5.6

.64

6.4 6. . 1.45

4.4

6.671

76.66

6.66

6.66

7.5714.5

15.4

Tabla No.- – De(alle de cálculos de la pro'undidad secuen(e de "


19/21

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%oa ,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"


20/21

6 56 166 156 466 456 766 7566

6.5

1

1.5

4

4.5

7

7

CP>

>4

A4

Po+i"i?( "o( re+#e")o el $(al %el )ramo 4 9m

Al)ura lami(a %e a'ua9m

)ráfca No.2 – Perfl de ujo radualmen(e &ariado

Re+al)o


21/21

Esquema No." – Dibujo Perfl de ujo radualmen(e &ariado

ejercicio cálculo de perfil de flujo gradualmente variado

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