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Steady State Temperature Distribution In A Rotating Disk, George Henry Morgan

Masters Theses

"The purpose of this investigation was to obtain an expression for the steady state temperature distribution of a disk of uniform thickness rotating at a constant speed in ambient air while absorbing heat through the periphery at a constant rate. Engineers encounter such problems in connection with brakes of several varieties. The general solution obtained here could be extended to similar physical problems such as grinding wheels, disk clutches, and so on.

A differential equation was obtained for the temperature in the disk by the application of Fourier's conduction law and Newton’s convection law. A solution of this equation was …