Derive a general expression for the wetted perimeter P of a trapezoidal channel in terms of cross sectional A, depth y and angle of side slope p. Prove that Rh = y/2 for the section to have the best hydraulic efficiency.

Derive a general expression for the wetted perimeter P of a trapezoidal channel in terms of cross sectional A, depth y and angle of side slope p. Prove that Rh = y/2 for the section to have the best hydraulic efficiency.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 9PQ

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Question

Derive a general expression for the wetted perimeter P of a
trapezoidal channel in terms of cross sectional A, depth y and
angle of side slope o. Prove that Rh = y/2 for the section to
have the best hydraulic efficiency.

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