When a small particle of weight wis transported by a moving fluid having a velocity V, it settles to the ground at some distance s after starting from a height h, as shown in the figure below. The variation in s with various factors is to be studied with a model having a length scale of 0.2. Assume that s = f (h, w, V, y, µ) where y is the particle specific weight and u is the fluid viscosity. The same fluid is to be used in both the model and the prototype, but y (model) = 2 x y (prototype). If V = 35 mph, at what velocity should the model tests be run? а. b. During a certain model test it was found that s (model) = 2 ft. What would be the predicted s for the prototype?
When a small particle of weight wis transported by a moving fluid having a velocity V, it settles to the ground at some distance s after starting from a height h, as shown in the figure below. The variation in s with various factors is to be studied with a model having a length scale of 0.2. Assume that s = f (h, w, V, y, µ) where y is the particle specific weight and u is the fluid viscosity. The same fluid is to be used in both the model and the prototype, but y (model) = 2 x y (prototype). If V = 35 mph, at what velocity should the model tests be run? а. b. During a certain model test it was found that s (model) = 2 ft. What would be the predicted s for the prototype?
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Transcribed Image Text:When a small particle of weight wis transported by a moving fluid having a velocity V,
it settles to the ground at some distance s after starting from a height h, as shown in
the figure below. The variation in s with various factors is to be studied with a model
having a length scale of 0.2. Assume that
s = f (h, w, V, Y, H)
where y is the particle specific weight and u is the fluid viscosity. The same fluid is to
be used in both the model and the prototype, but y (model) = 2 x y (prototype).
If V = 35 mph, at what velocity should the model tests be run?
а.
b.
During a certain model test it was found that s (model) = 2 ft. What would
be the predicted s for the prototype?
Particle
h
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