As shown in the accompanying figure, a thin flat plate rests on top of a film of ambient temperature (i.e. 20 °C) water. When a small force F is applied to this plate, the velocity profile within the water film can be described as vx = 40y-800y² where y is the distance (m) from the bottom stationary plate. a. Show that velocity equation satisfies the 'no-slip' conditions that must exist for both the top moving plate and bottom stationary plate. b. Calculate the magnitude of the shear stress (in Pa) that is acting on the top plate 10 mm 0.32 m/s F X

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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As shown in the accompanying figure, a thin
flat plate rests on top of a film of ambient
temperature (i.e. 20 °C) water. When a small
force F is applied to this plate, the velocity
profile within the water film can be described
as vx = 40y-800y²
where y is the distance (m) from the bottom
stationary plate.
a. Show that velocity equation satisfies
the 'no-slip' conditions that must
exist for both the top moving plate
and bottom stationary plate.
b. Calculate the magnitude of the shear
stress (in Pa) that is acting on the top
plate
10 mm
0.32 m/s
-X
Transcribed Image Text:As shown in the accompanying figure, a thin flat plate rests on top of a film of ambient temperature (i.e. 20 °C) water. When a small force F is applied to this plate, the velocity profile within the water film can be described as vx = 40y-800y² where y is the distance (m) from the bottom stationary plate. a. Show that velocity equation satisfies the 'no-slip' conditions that must exist for both the top moving plate and bottom stationary plate. b. Calculate the magnitude of the shear stress (in Pa) that is acting on the top plate 10 mm 0.32 m/s -X
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