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: y sin e (b- s) Free Surface b. Derive an expression for the liquid velocity at the free surface. c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. I dx Fixed ys dx Wall

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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:
dx
y sin e
(b2 - s2)
2 u
Free
Surface
b. Derive an expression for the
liquid velocity at the free
surface.
t dx
Fixed
ys dx
c. Derive an expression for the
discharge per unit width.
d. Derive an expression for the
shear stress at the fixed wall.
Wall
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: dx y sin e (b2 - s2) 2 u Free Surface b. Derive an expression for the liquid velocity at the free surface. t dx Fixed ys dx c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Wall
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