Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 16, Problem 12P

You must design a triangular open channel to carry a waste stream from a chemical plant to a waste stabilization pond (Fig. P16.12). The mean velocity increases with the hydraulic radius R h = A / p , where A is the cross-sectional area and p equals the wetted perimeter. Because the maximum flow rate corresponds to the maximum velocity, the optimal design amounts to minimizing the wetted perimeter. Determine the dimensions to minimize the wetted perimeter for a given cross-sectional area. Are the relative dimensions universal?

Chapter 16, Problem 12P, You must design a triangular open channel to carry a waste stream from a chemical plant to a waste

FIGURE P16.12

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Chapter 16 Solutions

Numerical Methods for Engineers

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