Transient Conduction in Coaxial Cylinders With Relative Motion and Heat Generation

Abstract

Transient temperatures in a coaxially moving tube and a stationary rod resulting from a step change in the rate of energy generation within the rod are obtained. For the small values of time, the use of finite Hankel transforms reduces the problem to the solution of an integrodifferential equation. In the solution of this equation, Laplace transforms have been used considering the convolutive property of the kernel involved. For the large values of time, this method is not convenient, and the asymptotic behavior of the temperature functions is given by means of the classical approach which requires the use of Laplace transforms. For a given time, it is found that the interface temperature gradient is inversely proportional to the axial distance.