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A viscous incompressible fluid is between two parallel plates (that are along the x-z plane), one...

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Physics

A viscous incompressible fluid is between two parallel plates(that are along the x-z plane), one of them is at y = 0 and theother at y = d.

  1. a) Considerthecasewheretheflowisstationaryinthezˆdirection,driven by a pressure gradient. Write down the Navier-Stokesequations and solve for the velocity field after imposing therelevant boundary conditions. [10 points]

  2. b) The pressure gradient is now removed, but the plate at y = dis moved in an oscillatory fashion with velocity ue−iωt in the zˆdirection, while the other plate remains stationary. Write down theNavier-Stokes equations and solve for the velocity field afterimposing the relevant boundary conditions. [15 points]

Answer & Explanation Solved by verified expert
3.5 Ratings (545 Votes)
A Consider theflow of a viscous Newtonian fluid between two parallel plateslocated    See Answer
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