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Assignment 11 - CHEE 3363-Fluid Mechanics Assignment 11(Due...

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CHEE 3363---Fluid Mechanics Assignment 11 (Due on Wednesday, Nov. 17) Pro 7.30 The diameter, 𝑑 , of the dots made by an ink jet printer depends on the ink viscosity, 𝜇 , density, 𝜌 , and surface tension, 𝜎 , the nozzle diameter, 𝐷 , the distance, 𝐿 , of the nozzle from the paper surface, and the ink jet velocity, 𝑉 . Use dimensional analysis to find the Π parameters that characterize the ink jet s behavior. Pro 7.56 The fluid dynamic characteristics of a golf ball are to be tested using a model in a wind tunnel. Dependent parameters are the drag force, 𝐹 𝐷 , the lift force, 𝐹 𝐿 , on the ball. The independent parameters should include angular speed, 𝜔 , and the dimple depth, 𝑑 . Determine suitable dimensionless parameters and express the functional dependence among them. A golf pro can hit a ball at 𝑉 = 240 ?? ? and 𝜔 = 9000 ?𝑝? . To model these conditions in a wind tunnel with maximum speed of 80 ?? ? , what diameter model should be used? How fast must the model rotate? (The diameter of a U.S. golf ball is 1.68 in.) Pro 7.58
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