A thin layer of spherical particles rests on the bottom of a horizontal tube as shown in the figure below. When an incompressible fluid flows through the tube, it is observed that at some critical velocity the particles will rise and be transported along the tube. A model is to be used to determine this critical velocity. Assume the critical velocity, V₁, to be a function of the pipe diameter, D, particle diameter, d, the fluid density, p, and viscosity, μ, the density of the particles, Pp, and the acceleration of gravity, g. For a length scale of Dm/D=1/2 and a fluid density scale of Pm/p=1/0.9, what will be the critical velocity scale V/V (assuming all similarity requirements are satisfied)? Vm/V= Mi
A thin layer of spherical particles rests on the bottom of a horizontal tube as shown in the figure below. When an incompressible fluid flows through the tube, it is observed that at some critical velocity the particles will rise and be transported along the tube. A model is to be used to determine this critical velocity. Assume the critical velocity, V₁, to be a function of the pipe diameter, D, particle diameter, d, the fluid density, p, and viscosity, μ, the density of the particles, Pp, and the acceleration of gravity, g. For a length scale of Dm/D=1/2 and a fluid density scale of Pm/p=1/0.9, what will be the critical velocity scale V/V (assuming all similarity requirements are satisfied)? Vm/V= Mi
Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
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
Transcribed Image Text:A thin layer of spherical particles rests on the bottom of a horizontal tube as shown in the figure
below. When an incompressible fluid flows through the tube, it is observed that at some critical
velocity the particles will rise and be transported along the tube. A model is to be used to
determine this critical velocity. Assume the critical velocity, V, to be a function of the pipe
diameter, D, particle diameter, d, the fluid density, p, and viscosity, μ, the density of the particles,
Pp, and the acceleration of gravity, g. For a length scale of Dm/D=1/2 and a fluid density scale of
Pm/p=1/0.9, what will be the critical velocity scale V/V (assuming all similarity requirements are
satisfied)?
Vm/V=
i
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