Canales
Example
A Trapezoidal channel having: Bo = 6 m y = 1.8 m z=2 determine the R, D, E
Source: Chaudhry, 2008
Facultad de Ingeniería – Ingeniería Civil
IGC-020 HIDRÁULICASpecific Energy
Example
Bo = 6 m y = 1.8 m z=2
R A P
Source: Chaudhry, 2008
A by zy 2 17,28 m2
P b 2 y (1 z 2 ) 14 m2
R 1,23 m
E
y
v2 2g
Para un Q= 15 m3/s
v Q A 0,87 m 3 / s OkD
A T
T
b 2 zy 13,2 m D 1,31 m
E 1,83 m
Facultad de Ingeniería – Ingeniería Civil
IGC-020 HIDRÁULICA
Specific Energy
Example
A 4-m wide rectangular channel is carrying 10 m3/sat a depth of 2.5 m. There is a step rise of 0.2 m in the channel bottom. Assuming there are no losses at the transition, determine the flow depth downstream of the bottom step. Does the water surfacerise or fall at the step?
Source: Chaudhry, 2008
Facultad de Ingeniería – Ingeniería Civil
IGC-020 HIDRÁULICA
Specific Energy
Example
A 4-m wide rectangular channel is carrying 10 m3/sat a depth of 2.5 m. There is a step rise of 0.2 m in the channel bottom. Assuming there are no losses at the transition, determine the flow depth downstream of the bottom step. Does the water surfacerise or fall at the step? Given: Q = 10 m3/s B=4m y1 = 2.5 m Δz = 0.2 m No head losses at the transition Determine: y2 = ? Change in water-surface level = ?
Source: Chaudhry, 2008
Facultad deIngeniería – Ingeniería Civil
IGC-020 HIDRÁULICA
Specific Energy
Example
E1
E2
z
Facultad de Ingeniería – Ingeniería Civil
IGC-020 HIDRÁULICA
Specific Energy
Example
V1 Q2 2 g (by)2 y1 y2 v1 2g v2 2g
2 2
0,05 m / s
E1 E2
2,55 m
Reemplazando:
E1
E2
y2
3
z
2,35 y 2
2
2,35 m
0,32 0
y2
0,32 y2
2
y2
2,29 m
R/: 2,29 m + 0,2 m = 2,48 mDisminuye
Flujo crítico
MSc Maria alejandra caicedo l
IGC-020 Hidráulica de Canales
Flujo crítico
IGC-020 Hidráulica de Canales
Supuestos:
a)
Q
Cte
E
f ( y) Otra forma...
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