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 и %3 (b² – s² ) Free 2 µ Surface b. Derive an expression for the liquid velocity surface. at the free t dx Y s dx Fixed c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. 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, show that the velocity distribution across the layer is: dx y sin 0 и %3 (b² – s² ) Free 2 µ Surface b. Derive an expression for the liquid velocity surface. at the free t dx Y s dx Fixed c. Derive an expression for the discharge per unit width. d. Derive an expression for the shear stress at the fixed wall. Wall
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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:
dx
y sin 0
(b² – s? )
2 µ
u =
Free
Surface
an expression for the
the
b. Derive
t dx
liquid velocity
surface.
at
free
Fixed
Ys dx
c. Derive
discharge per unit width.
d. Derive
an
expression for the
Wall
b
an
expression for the
shear stress at the fixed wall.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17e834be-e933-4765-acae-0bffcf949675%2F9ee0d9f0-7a8b-4a01-b4fe-8fe9e4d4a440%2Fcu0iite_processed.jpeg&w=3840&q=75)
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,
velocity
show
that
the
distribution across the layer is:
dx
y sin 0
(b² – s? )
2 µ
u =
Free
Surface
an expression for the
the
b. Derive
t dx
liquid velocity
surface.
at
free
Fixed
Ys dx
c. Derive
discharge per unit width.
d. Derive
an
expression for the
Wall
b
an
expression for the
shear stress at the fixed wall.
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