When small particles of diameter d are transported by amoving fluid having a velocity V

Chapter 7, Problem 7.54

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When small particles of diameter d are transported by amoving fluid having a velocity V, they settle to the ground at somedistance after starting from a height h as shown in Fig. P7.54.The variation in with various factors is to be studied with a modelhaving a length scale of 110. Assume that = f(h, d, V, , )where is the particle specific weight and is the fluid viscosity.The same fluid is to be used in both the model and the prototype,but (model) = 9 (prototype). (a) If V = 50 mph, at whatvelocity should the model tests be run? (b) During a certain modeltest it was found that (model) = 0.8 ft. What would be the predicted for this test?

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