Problem Set 2.pdf

Problem Set 2.pdf - UNIVERSITY OF ARIZONA DEPARTMENT OF...

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UNIVERSITY OF ARIZONA DEPARTMENT OF CHEMICAL AND ENVIRONMENTAL ENGINEERING CHEE 305 TRANSPORT PHENOMENA SPRING 2017 Problem Set 2 Due: Friday, February 3 1 . A large solid block (see figure) slides down a slope on the surface of a liquid (density and viscosity ) at a constant velocity v 0 . Because upstream and downstream from the block the liquid film is exposed to the atmosphere, you may assume that pressure in the liquid between the block and the solid surface does not change with x. You also may assume that the liquid film has a uniform thickness . (a) Find an expression for the velocity profile v x (y) in the liquid contained between the block and the solid surface. Assume that the flow is steady and incompressible. Sketch the profile. (b) If the surface area of the block that is in contact with the liquid is A 0 , find the force that the liquid exerts on the block in the x direction in terms of v 0 . (c) If the mass of the block is M, find an expression that can be used to calculate v 0 .
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2. A cylindrical pipe (R = 1 cm) is used to transport a solution that is supersaturated with a solid.
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