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Unformatted text preview: ive. EES then immediately
solves for
P 17.95 A 45.04 Rh 2.509 yn 4.577 ft Ans. Generally, EES is ideal for openchannelflow problems where the depth is unknown. Uniform Flow in a Partly Full
Circular Pipe Consider the partially full pipe of Fig. 10.6a in uniform flow. The maximum velocity
and flow rate actually occur before the pipe is completely full. In terms of the pipe radius R and the angle up to the free surface, the geometric properties are  v v A  sin 2
2 R2 eText Main Menu  P 2R Rh Textbook Table of Contents R
1
2  sin 2
2 Study Guide 10.3 Efficient UniformFlow Channels R 669 R θ y R (a) 1.0
V
Vmax 0.8
0.6 Q
Qmax 0.4
0.2 Fig. 10.6 Uniform flow in a partly
full circular channel: (a) geometry;
(b) velocity and flow rate versus
depth. 0.0
0.0 0.2 0.4 0.6 0.8 1.0 y
D
(b) The Manning formulas (10.19) predict a uniform flow as follows:
V0 R
1
n2 sin 2
2 2/3 1/2
S0 Q sin 2
2 V0R2 For a given n and slope S0, we may plot these two relations versus
There are two different maxima, as follows:
Vma...
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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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