slide32_explanation

slide32_explanation - CEE 5734 Urban Hydrology and...

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CEE 5734 – Urban Hydrology and Stormwater Management Reinforcement for January 19 lecture, Slide 32 Glenn E. Moglen Our objective is to determine the velocity of flow in the pipe. We need this velocity so we can determine the travel time from one end of the pipe to the other. We know the discharge in the pipe, Q . The area, A , that represents the part of the pipe that is carrying water is fair amount of work to calculate, but if we knew it, we could quickly calculate the velocity of flow in the pipe from simple continuity: A Q v (1) Unfortunately, the pipe is not flowing full so we would have some ugly math to figure out the area, and wetted perimeter. Fortunately, there’s a table that that takes care of the ugly math for us. We start with Manning’s equation: 2 1 3 2 49 . 1 S R A n Q (2) We re-arrange equation 2 to have all parts that are dependent on how full the pipe is flowing on one side and the remaining terms on the other side: 2 1 3 2 ) 49 . 1 ( S n Q R
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slide32_explanation - CEE 5734 Urban Hydrology and...

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