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Transfinite element methodology for nonlinear/linear transient thermal modelling/analysis - Progress and recent advancesThe 'transfinite element method' (TFEM) proposed by Tamma and Railkar (1987 and 1988) for the analysis of linear and nonlinear heat-transfer problems is described and demonstrated. The TFEM combines classical Galerkin and transform approaches with state-of-the-art FEMs to obtain a flexible hybrid modeling scheme. The fundamental principles of the TFEM and the derivation of the governing equations are reviewed, and numerical results for sample problems are presented in extensive graphs and briefly characterized. Problems analyzed include a square plate with a hole, a rectangular plate with natural and essential boundary conditions and varying thermal conductivity, the Space Shuttle thermal protection system, a bimaterial plate subjected to step temperature variations, and solidification in a semiinfinite liquid slab.
Document ID
19880061403
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Tamma, Kumar K. (Minnesota Univ. Minneapolis, MN, United States)
Railkar, Sudhir B. (Minnesota, University Minneapolis, United States)
Date Acquired
August 13, 2013
Publication Date
June 1, 1988
Publication Information
Publication: International Journal for Numerical Methods in Engineering
Volume: 25
ISSN: 0029-5981
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Distribution Limits
Public
Copyright
Other