# Rec4 - Q = A u We can apply this equation on a differential...

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Recitation 4 (Sept 25, ’07)

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Problem 3 Given a velocity profile across the depth H of a W meter wide lake, calculate the volumetric flow rate of the lake. Velocity profile: u(y) = Ky direction of y being upward from the bottom of the lake. Solution: We know that the flow rate through an area of constant velocity is given by:
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Unformatted text preview: Q = A u We can apply this equation on a differential area at distance y and experiencing velocity u(y), and hence, integrate that expression from y =0 to y = H. 2 ( ) ( )( ) 2 y H y H y y KWH Q u y dA Ky W dy = = = = = = = ∫ ∫ H y W wide...
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Rec4 - Q = A u We can apply this equation on a differential...

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