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7. For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, the velocity show that distribution across the layer is: = rsin (b2 - s²). Free Surface b. Derive an expression for the liquid velocity at the free 1 dx surface. 7s dx c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Fixed Wall

7. For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, the velocity show that distribution across the layer is: = rsin (b2 - s²). Free Surface b. Derive an expression for the liquid velocity at the free 1 dx surface. 7s dx c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Fixed Wall

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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7. For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, show that the velocity distribution across the layer is: u= sin e (b² – s² ) Free 2 Surface b. Derive an expression for the at liquid velocity the free 1 dx surface. c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Ys dx Fixed Wall b
Transcribed Image Text:7. For the flow of a thin layer of liquid down an inclined plane shown: a. Using the cross-hatched element and through a force balance, show that the velocity distribution across the layer is: u= sin e (b² – s² ) Free 2 Surface b. Derive an expression for the at liquid velocity the free 1 dx surface. c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Ys dx Fixed Wall b
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