hw12_due_Nov210

hw12_due_Nov210 - degrees Celsius If a pressure gradient...

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AAE333 Fall 2011 Homework 12 Due: Mon Nov 21 1) Two parallel plates are separated by a gap of 1mm. The gap is filled with water at 20 degrees Celsius. What is the tangential force you need to exert on each square inch of the moving wall to keep it moving at 10 fps? 2) A cylinder of 2 cm radius and 10 cm length is mounted inside a concentric fixed cylinder with a 1 mm gap between the rotating shaft and the housing. The gap is filled with oil with a viscosity of 0.05 Pa-s. The shaft is driven by a pulley of radius .3 m from which hangs a weight of 2kg. In equilibrium, what is the angular velocity of the shaft? 3) A cylinder of 2 cm radius is mounted inside a concentric fixed cylinder with a 1 mm gap between the two. The inner cylinder is free to move along the axis, so that in equilibrium there would be no force on it. The gap is filled with water at 20
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Unformatted text preview: degrees Celsius . If a pressure gradient of -10 Pa/m is imposed along the axis, at what speed would the inner cylinder move? 4) Consider a circular pipe with area .01 m 2 and a slender rectangular duct with height .01 m and width 1 m. Assuming the same pressure gradient is applied to each, which one will pass more fluid? What is the ratio of volume flow rates? (Assuming laminar flow in both pipes. You may neglect end effects in the rectangular duct). 5) Consider a circular pipe 3 m long, 1 cm in radius. The gage pressure at the inlet of the channel is 1.1 atm. The outlet is at atmospheric pressure. In one minute you collect 6 liters of fluid. Assuming you have fully developed laminar Poisseuille flow from inlet to outlet, what is the viscosity of the fluid (in Pa-s)?...
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This document was uploaded on 01/22/2012.

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