Wastewater Hydraulics by Willi H. Hager

Author:Willi H. Hager
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(11.19)

With the approach flow Froude number o = Q/(gDh o 4)1/2 according to Eq. (6.35), Eq. (11.19) may be solved for the end depth ratio Y e = h e /h o as

(11.20)

For the limit cases o = 1, and o →∞, the results are Y e (1) = (2/3)2/3 = 0.763 and Y e (∞) = 1. The currently accepted standard value for Y e = 0.725 according to Rajaratnam and Muralidhar (1964b) is in reasonable agreement with the simplified approach.

For o > 2 the free surface decreases continuously from h o to h e , and a standing surface undulation may set up for smaller Froude numbers. The length L e of the drawdown curve varies significantly with o and may be approximated as

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