Chapt10

# Pebbles dropped successively at the same point into a

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Unformatted text preview: disturbance wave. For periodic small-amplitude surface waves of wavelength and period T, inviscid theory [5 to 9] predicts a wave propagation speed g 2y c2 tanh 0 2 where y is the water depth and surface tension is neglected. (a) Determine if this expression is affected by the Reynolds number, Froude number, or Weber number. Derive the limiting values of this expression for (b) y and (c) y . (d ) Also for what ratio y/ is the wave speed within 1 percent of limit (c)? If surface tension is included in the analysis of Prob. 10.9, the resulting wave speed is [5 to 9] c2 0 P10.11 2 g 2 tanh 2y (a) Determine if this expression is affected by the Reynolds number, Froude number, or Weber number. Derive the limiting values of this expression for (b) y and (c) y . (d ) Finally determine the wavelength crit for a minimum value of c0, assuming that y . A rectangular channel is 2 m wide and contains water 3 m deep. If the slope is 0.85° and the lining is corrugated metal, estimate the discharge for...
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