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, velocity show that the distribution across the layer is: y sin 0 ( b2 – s2 ) dx и %3 Free Surface expression for the free b. Derive an t dx liquid velocity surface. at the Fixed Ys dx c. Derive an discharge per unit width. d. Derive an expression for the Wall expression for the shear stress at the fixed wall.

Elements Of Electromagnetics
7th Edition
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 0
u =
( b² – s² )
Free
Surface
an expression for the
the
b. Derive
free
t dx
liquid velocity
surface.
at
Fixed
y s 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 0 u = ( b² – s² ) Free Surface an expression for the the b. Derive free t dx liquid velocity surface. at Fixed y s 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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