When small particles of diameter d are transported by a moving fluid having a velocity V, they settle to the ground at some distance l after starting from a height h as shown in Fig. P13.22. The variation in l with various factors is to be studied with a 1/10 size scale model. Assume that
l = f(h, d, V, γ, μ) where is the particle specific weight and µ is the fluid viscosity.
The same fluid is to be used in both the model and the prototype, but γ (model) = 9 × γ(prototype). (a) If V= 50 mph, at what velocity should the model tests be run?
(b) During a certain model test it was found that l (model) = 0.8 ft. What would be the predicted l for the prototype?
