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Homework08

# Homework08 - CE 2200 Homework Assignment-08(DUE Thursday...

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CE 2200 Homework Assignment-08 (DUE Thursday November 8, 2007) 1. Problem-7.13: An approximate equation for the velocity distribution in a rectangular channel with turbulent flow is n d y V V = max where V max is the velocity at the surface, y is the distance from the floor of the channel, d is the depth of flow, and n is an exponent that varies from about 1/6 to 1/8 depending on the Reynolds number. Derive a formula for the kinetic-energy correction factor α as a function of n . What is the value of α for n = 1/7? 2. Problem-7.21: An engineer is making an estimate for a home owner. This owner has a small stream ( Q = 1.4 cfs, T = 40 o F) that is located at an elevation H = 34 ft above the owner's residence. The owner is proposing to dam the stream, diverting the flow through a pipe (penstock). This flow will spin a hydraulic turbine, which in turn will drive a generator to produce electrical power. Estimate the maximum power in kilowatts that can be generated if there is no head loss and both the turbine and generator are 100% efficient. Also, estimate the power if the

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