Mechanical & Materials Engineering, Department of


Date of this Version



Published in International Journal of Heat and Mass Transfer 53:13-14 (June 2010), pp. 2583–2592; doi: 10.1016/j.ijheatmasstransfer.2009.11.009 Copyright © 2010 A. Haji-Sheikh, J. V. Beck, & K. D. Cole. Published by Elsevier Ltd. Used by permission.


The objective of this presentation is the development of a generalized steady-state Green’s function solution to study the temperature field in moving bodies. This type of solution permits the inclusion of different nonhomogeneous boundary conditions, volumetric heat sources, and possible position-dependent thermophysical properties. Although the mathematical formulation is for moving solids, it can be used to study the heat transfer in a moving fluid with a non-uniform velocity distribution passing through a micro-channel or fluid-saturated porous ducts. Additionally, this presentation includes the application of this Green’s function solution to acquire numerical information for selected examples to further illustrate the numerical details.