Determine the hydraulic diameter and hydraulic radius for the open trapezoidal channel shown using the definition. Given that b = 4.7, T= 7.0, and h = 2.7 (all dimensions measured in ft). If the flow rate is Q = 30.0 cfs, identify the flow in the channel to be subcritical, critical or supercritical and find the alternative depth if it is not critical.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Fluid Mechanics Hw #9
Determine the hydraulic diameter and hydraulic radius for the open
trapezoidal channel shown using the definition. Given that b = 4.7, T= 7.0,
and h=2.7 (all dimensions measured in ft). If the flow rate is Q = 30.0 cfs,
identify the flow in the channel to be subcritical, critical or supercritical and
find the alternative depth if it is not critical.
Solution:
1. Side slope m =
2. Flow area A =
3. Wetted perimeter Pw=
4. Hydraulic radius Rh =
5. Hydraulic depth Dh =
6. Froude number Fr =
7. The flow is
8. Specific energy E =
9. Alternative depth y' =
ft²;
1
ft;
ft;
ft;
+5
ft;
T
b
h
Transcribed Image Text:Determine the hydraulic diameter and hydraulic radius for the open trapezoidal channel shown using the definition. Given that b = 4.7, T= 7.0, and h=2.7 (all dimensions measured in ft). If the flow rate is Q = 30.0 cfs, identify the flow in the channel to be subcritical, critical or supercritical and find the alternative depth if it is not critical. Solution: 1. Side slope m = 2. Flow area A = 3. Wetted perimeter Pw= 4. Hydraulic radius Rh = 5. Hydraulic depth Dh = 6. Froude number Fr = 7. The flow is 8. Specific energy E = 9. Alternative depth y' = ft²; 1 ft; ft; ft; +5 ft; T b h
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