Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 46P
A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights y1and y2and the flow velocities V1and V2upstream and downstream from the gate, respectively. Take the width of the sluice gate (into the page) to be it’. Wall shear stresses along the channel walls may be ignored, and for simplicity, we assume steady, uniform flow at locations 1 and 2. Develop a relationship for the force FR acting on the sluice gate as a function of depths y1and y2, mass flow rate h, gravitational constant g, gate width w, and water density p.
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A sluice gate, which controls flow rate in a channel by simply raising or lowering a vertical plate, is commonly used in irrigation systems. A force is exerted on the gate due to the difference between the water heights y1 and y2 and the flow velocities V1 and V2 upstream and downstream from the gate, respectively. Take the width of the sluice gate (into the page) to be w. Wall shear stresses along the channel walls may be ignored, and for simplicity, we assume steady, uniform flow at locations 1 and 2. Develop a relationship for the force FR acting on the sluice gate as a function of depths y1 and y2, mass flow rate m ., gravitational constant g, gate width w, and water density ? .
Answer is: V = 14.17 ft/s
The diameter of the ball is 30 cm as shown in the figure. Calculate the river current velocity [m/s]. (NOTE: Neglect the weight of the cable.
SGBALL = 0,20
PWATER = 1000 KG/M3
CD,BALL=0,12
Chapter 6 Solutions
Fluid Mechanics: Fundamentals and Applications
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