Solution of the unsteady heat-conduction equation for a system of two bounded heterogeneous cylinders with the use of the integral transformations of Hankel and Laplace

Abstract

Consideration has been given to the problem of uniform unsteady lateral heating of two bounded cylinders having dissimilar thermophvsical characteristics and being in ideal thermal contact. The exact analytical solution for determination of a three-dimensional temperature field in real space has been found with the use of the integral-transformations method. The distinctive features of the solution obtained have been investigated and examples of specific calculations have been given.