Fox And Mcdonald's Introduction To Fluid Mechanics
9th Edition
ISBN: 9781118921876
Author: Pritchard, Philip J.; Leylegian, John C.; Bhaskaran, Rajesh
Publisher: WILEY
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Textbook Question
Chapter 11, Problem 19P
A rectangular channel 10 ft wide carries 100 cfs on a horizontal bed at 1.0 ft depth. A smooth bump across the channel rises 4 in. above the channel bottom. Find the elevation of the liquid free surface above the bump.
P11.19
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Question
: A stream bed has a rectangular cross section 5 meters wide and a slope of
0.0002 m/m. The flow rate in the stream is 8.75 m³/s. A dam is built across the stream, causing
the water surface to rise to 2.5 meters just upstream of the dam, as shown below. Assume n =
0.015.
y = yn
2.5 m
a. Find the normal depth, yn, corresponding to this flow rate and channel geometry. You do
not need to solve the equation by hand. To get full credit, show your equation with only
one unknown.
b. Find the critical depth, yc.
c. The yn is found to be 1.8 m by solving the equation numerically. Identify the water
surface profile upstream of the dam. Explain your answer for full credit.
Given:
Asked:
Solution:
Q1. Check the dimensional homogeneity of the following common equations in the field of
Hydraulics.(Ca is constant, m hydraulic mean depth and i the longitudinal slope of the channel)
(1) Q = Ca a√2gH and
(ii) v = C√mi
Chapter 11 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
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