Consider a plane Couette flow of a viscous fluid confined between two flat plates at a distance b apart. At steady state, the velocity distribution is Uy u = ,v= w = 0 where the upper plate at y=b is moving parallel to itself at a speed U and the lower plate is held stationery. Find: i. the rates of linear strains ii. rate of shear strain iii. vorticity

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider a plane Couette flow of a viscous fluid confined between two flat plates at a
distance b apart. At steady state, the velocity distribution is
Uy
u =
,v= w = 0
where the upper plate at y=b is moving parallel to itself at a speed U and the lower plate is
held stationery. Find:
i.
the rates of linear strains
ii.
rate of shear strain
iii.
vorticity
Transcribed Image Text:Consider a plane Couette flow of a viscous fluid confined between two flat plates at a distance b apart. At steady state, the velocity distribution is Uy u = ,v= w = 0 where the upper plate at y=b is moving parallel to itself at a speed U and the lower plate is held stationery. Find: i. the rates of linear strains ii. rate of shear strain iii. vorticity
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