An electric current is used to heat a tube through which a suitable cooling fluid flows. The outside of the tube is covered with insulation to minimize heat loss to the surroundings, and thermocouples are attached to the outer surface of the tube to measure the temperature. Assuming uniform heat generation in the tube, derive an expression for the convection heat-transfer coefficient on the inside of the tube in terms if the measured variables: voltage E, current I, outside tube wall temperature To, inside and outside radii ri and ro, tube length L, and fluid temperature Tf.
Heat Transfer Holman 10th Edition, problem 2-49?
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