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An incompressible fluid oscillates harmonically ( , where V is the velocity) with a frequency of 10 rad/s in a 4-in-diameter pipe. A 1/4-scale model is to be used to determine the pressure difference per unit length, (at any instant) along the pipe. Assume that:
where D is the pipe's diameter, the frequency, the fluid viscosity, and the the fluid density.
(a) Determine the similarity requirement for the model and the prediction equation for
(b) If the same fluid is used in the model and the prototype, at what frequency should the model operate?
An incompressible fluid oscillates harmonically ( , where V is the velocity) with a frequency of 10 rad/s in a 4-in-diameter pipe. A 1/4-scale model is to be used to determine the pressure difference per unit length, (at any instant) along the pipe. Assume that:
where D is the pipe's diameter, the frequency, the fluid viscosity, and the the fluid density.
(a) Determine the similarity requirement for the model and the prediction equation for
(b) If the same fluid is used in the model and the prototype, at what frequency should the model operate?
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KathLv10
25 Feb 2021