A circular disk of thickness G and outer radius is mounted on a shaft of radius The shaft and disk rotate inside a stationary sleeve with angular velocity Ro . Ri Z.
Because of friction between the disk and sleeve, heat is generated at a flux . qo cc The disk exchanges heat with the surroundings by convection. The ambient temperature is Due to radial variation in the tangential velocity, the heat transfer coefficient varies with radius according to
h= hi(r/Ri)2
Assume that no heat is conducted to the sleeve and shaft; use a fin approximation to determine the steady state temperature distribution.