7. For the flow of a thin layer of liquid down an inclined planeshown:a. Using the cross-hatched element and through a force balance,showthat thevelocitydistribution across the layer is:d Xy sin e(b2 - s2)FreeU =Surfaceb. Derive an expression for theliquid velocitysurface.atthefreet dxys dxFixedc. Derive an expression for thedischarge per unit width.d. Derive an expression for theshear stress at the fixed wall.Wallb

Discharge: The amount of fluid that is passing through the section of a unit in unit time is known…

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 e u = (b2 - s2) Free Surface b. Derive an expression for the liquid velocity surface. t dx at the free 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

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 e u = (b2 - s2) Free Surface b. Derive an expression for the liquid velocity surface. t dx at the free 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

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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Concept explainers

Time and time related variables in engineering

Time is the event progression starting from past to present and then, future statistically. The time-related variable is any particular value in relation to time to assess its changes on a specified (XY) plane.

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,
show
that the
velocity
distribution across the layer is:
d X
y sin e
(b2 - s2)
Free
U =
Surface
b. Derive an expression for the
liquid velocity
surface.
at
the
free
t dx
ys 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
b

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