Influence of Heat Source on Thermal Behaviour of Solid Cylinder.

Abstract

Abstract The present manuscript deals with determination of influence of internal heat source on thermal behaviour of a long solid cylinder. A direct, steady state, nonhomogeneous boundary value problem with internal heat generation is formulated to analyse heat transfer and thermal stresses. The cylindrical surface heat source situated in annular region of long cylinder results in internal heat generation. Finite Hankel transform, Goodier’s thermoelastic displacement potential and Michell function are adopted to obtain the analytical solution. The outcomes are represented in the form of infinite series comprising Bessel’s functions. By considering a mathematical model for steel plate, outcomes are verified numerically. Some numerical results for the temperature distribution, displacement components, and the associated stresses are shown in figures drawn using Matlab software.