Consider the steady-state and laminar flow of an incompressible and constant-property fluid parallel to a horizontal, infinitely large flatplate. A way from the surface the velocity of the fluid is U¥ and its temperature is T¥.assume that the plate is porous and fluid with a constant velocity of Vs is sucked into the plate. a) prove that the velocity profile in the direction parallel to the plate is given by  b)assume a boundary layer can be defined, at the edge of which u/ U¥ =0.999. find the boundary-layer thickness for water and air at room temperature and atmospheric pressure. c)repeat parts (a) and (b) , this time assuming that the fluid is blown into the flow field through the porous plate with a constant velocity Vs. d)assume that the plate is at a constant temperature Tx.find the temperature profile in the fluid. 
Consider the steady-state and laminar flow of an incompressible and constant-property fluid parallel to a horizontal, infinitely large flatplate. A way from the surface the velocity of the fluid is U¥ and its temperature is T¥.assume that the plate is porous and fluid with a constant velocity of Vs is sucked into the plate. a) prove that the velocity profile in the direction parallel to the plate is given by  b)assume a boundary layer can be defined, at the edge of which u/ U¥ =0.999. find the boundary-layer thickness for water and air at room temperature and atmospheric pressure. c)repeat parts (a) and (b) , this time assuming that the fluid is blown into the flow field through the porous plate with a constant velocity Vs. d)assume that the plate is at a constant temperature Tx.find the temperature profile in the fluid. 
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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3.Consider the steady-state and laminar flow of an incompressible and constant-property fluid parallel to a horizontal, infinitely large flatplate. A way from the surface the velocity of the fluid is U¥ and its temperature is T¥.assume that the plate is porous and fluid with a constant velocity of Vs is sucked into the plate.
a) prove that the velocity profile in the direction parallel to the plate is given by

b)assume a boundary layer can be defined, at the edge of which u/ U¥ =0.999. find the boundary-layer thickness for water and air at room temperature and atmospheric pressure.
c)repeat parts (a) and (b) , this time assuming that the fluid is blown into the flow field through the porous plate with a constant velocity Vs.
d)assume that the plate is at a constant temperature Tx.find the temperature profile in the fluid.

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