Library Subscription: Guest
Home Archives Thermal Letter Officers Future meetings Assembly for International Heat Transfer Conferences
International Heat Transfer Conference 11

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

A GENERALIZED COORDINATES APPROACH FOR THE SOLUTION OF INVERSE HEAT CONDUCTION PROBLEMS

Jose P. Alencar Jr.
Department of Mechanical Engineering, EE/COPPE Federal University of Rio de Janeiro, UFRJ Cid. Universitaria

HELCIO ORLANDE
Federal University of Rio de Janeiro

M. N. Ozisik
Mechanical and Aerospace Engineering Department North Carolina State University, Raleigh, N. C. 27607

DOI: 10.1615/IHTC11.720
pages 53-58

Abstract

In this paper we present a general solution for two-dimensional boundary inverse heat conduction problems, by using the conjugate gradient method of minimization together with an elliptic scheme of numerical grid generation. The direct problem, as well as other auxiliary problems required for the solution of the inverse problem with the conjugate gradient method, are formulated in terms of generalized coordinates in a computational domain, where they are solved by finite-differences over a rectangular region. The transformation of the irregular region of interest in the physical domain into a rectangle in the computational domain, provides geometrical flexibility to the present approach, so that boundary inverse problems involving different geometries can be treated with a single formulation. Simulated measurements are used to illustrate the application of the present approach to the solution of an inverse problem of practical engineering interest.

Purchase $25.00 Check subscription Publication Ethics and Malpractice Recommend to my Librarian Bookmark this Page