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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 firstorder 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 Openchannel flow classified by regions of rapidly varying
flow (RVF), gradually varying flow
(GVF), and uniformflow depth
profiles. Aerated
region  eText 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.
 Spring '08
 Sakar

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