Final - winter 2012 - Solution

The distance between the planesis05 cmthebottomplane

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Unformatted text preview: 2 with W = width and L = length along the y coordinate] Problem 2 (20 points): Water is contained between two infinite planes. The distance between the planes is 0.5 cm. The bottom plane is steady while the top moves to the right with constant velocity U = 1 m/sec. Solve the Navier‐Stokes equation to find the velocity profile. Plot the velocity profile. [HINT: this is the well‐known Couette flow] Now an adverse pressure gradient is applied to bring the total volumetric flow rate to zero. Find the value of such pressure gradient dP...
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