Chapt10

Varied flow a gradually varied one dimensional b

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Unformatted text preview: Rapidly varied (multidimensional) Typically uniform flow is separated from rapidly varying flow by a region of gradually varied flow. Gradually varied flow can be analyzed by a first-order differential equation (Sec. 10.6), but rapidly varying flow usually requires experimentation or threedimensional potential theory. Flow Classification by Froude Number: Surface Wave Speed A second and very interesting classification is by dimensionless Froude number, which for a rectangular or very wide channel takes the form Fr V/(gy)1/2, where y is the GVF RVF GVF Uniform flow GVF RVF GVF | v v Fig. 10.3 Open-channel flow classified by regions of rapidly varying flow (RVF), gradually varying flow (GVF), and uniform-flow depth profiles. Aerated region | e-Text Main Menu | Textbook Table of Contents | Study Guide 10.1 Introduction Fixed wave Still water y Fig. 10.4 Analysis of a small surface wave propagating into still shallow water; (a) moving wave, nonsteady frame; (b) fixed wave, inertial frame of reference. δy pa = 0 δy c 663 δV c – δV Control volume c ρ g( y + δy) ρgy τw ≈ 0 (a) (b) water depth. The three flow...
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This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.

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