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CWR4202_Hmwk_05_S2012

# CWR4202_Hmwk_05_S2012 - b = 1.0 x 10-8 Assume the...

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CWR 4202 – Hydraulics Spring 2012 Name____________________ Homework 5 (Due: Wednesday, March 21) Problem 1: Consider a prismatic concrete-lined channel with trapezoidal cross section. The bottom width b is 3 m, while the bank side slope is s = 2. The channel conveys a discharge Q = 6 m 3 /s with a bed slope S b = 0.001. Assume the kinematic viscosity of water is 1.003 x 10 -6 m 2 /s and that the concrete roughness k = 5 x 10 -4 m. Let the energy coefficient, α = 1.1. a) Determine normal depth. b) Show that the correct flow range was used. c) Determine if the flow is subcritical or supercritical. Problem 2: A rectangular channel is to be designed for the constant discharge Q = 627.7 l/s with a width b = 40m and a permissible bed slope of S
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Unformatted text preview: b = 1.0 x 10-8 . Assume the equivalent sand roughness of the channel k = 0.005 m and that the energy coefficient α = 1.06. Let the kinematic viscosity of the water be 1.003 x 10-6 m 2 /s. a) Find the normal depth of flow assuming the channel flow is in the D range (Hazen-Williams). b) Verify the flow range. c) Determine the critical depth and state whether the flow is super- or subcritical. d) Determine critical bed slope. e) Verify that the correct flow range was used to obtain the critical bed slope. Problem 3: Assume the laminar flow range applies and derive the normal depth equation for a triangular channel cross-section. Show a figure and define all terms....
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