Chapter 5 Numerical Methods in Heat Conduction 5-113Starting with an energy balance on a disk volume element, the one-dimensional transient explicit finite difference equation for a general interior node for in a cylinder whose side surface is subjected to convection with a convection coefficient of h and an ambient temperature of TTzt(,)∞for the case of constant thermal conductivity with uniform heat generation is to be obtained. Analysis We consider transient one-dimensional heat conduction in the axial z direction in a cylindrical rod of constant cross-sectional area A with constant heat generation and constant conductivity kwith a mesh size of 0g&zΔin the z direction. Noting that the volume element of a general interior node m involves heat conduction from two sides, convection from its lateral surface, and the volume of the element is , the transient explicit finite difference
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.