We have a one meter long copper pipe through which water passes at a certain speed. The outer wall of the tube is covered by the heater where all the energy of the heater is transferred to the tube. Now the outer wall of the tube is vibrated in a vertical direction by a vibrator using different frequencies up to 3000 Hz. We want to examine the rate of heat transfer at each of the vibrational frequencies at the end of the fluid.

Which physics can be used to perform this analysis in COMSOL software?

(outer diameter of tube = 9.52mm / inner diameter of tube = 8.72mm / Speed of Fluid = 0.059m/s)

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