Green’s Function Partitioning in Galerkin-Based Integral Solution of the Diffusion Equation

[+] Author and Article Information
A. Haji-Sheikh

Department of Mechanical Engineering, The University of Texas at Arlington, Arlington, TX 76019

J. V. Beck

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226

J. Heat Transfer 112(1), 28-34 (Feb 01, 1990) (7 pages) doi:10.1115/1.2910360 History: Received August 31, 1988; Online May 23, 2008


A procedure to obtain accurate solutions for many transient conduction problems in complex geometries using a Galerkin-based integral (GBI) method is presented. The nonhomogeneous boundary conditions are accommodated by the Green’s function solution technique. A Green’s function obtained by the GBI method exhibits excellent large-time accuracy. It is shown that the time partitioning of the Green’s function yields accurate small-time and large-time solutions. In one example, a hollow cylinder with convective inner surface and prescribed heat flux at the outer surface is considered. Only a few terms for both large-time and small-time solutions are sufficient to produce results with excellent accuracy. The methodology used for homogeneous solids is modified for application to complex heterogeneous solids.

Copyright © 1990 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In