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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 24, 1993 - Issue 3
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Original Articles

A PHYSICAL APPROACH TO FINITE-ELEMENT MODELING OF COUPLED CONDUCTION AND CONVECTION

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Pages 243-261 | Received 13 Mar 1993, Accepted 11 May 1993, Published online: 07 May 2007
 

Abstract

Finite-element formulations for coupled conduction and convection problems are obtained by a direct approach based on energy balances, at both element and node levels. This way, clear physical interpretations are provided for all the essential steps of conventional finite-element procedures of the Galerkin type. In the examples, the finite-element formulation is validated first by comparison with the analytical solution of a typical benchmark problem. Then the capabilities of the finite-element method are demonstrated by the analysis of coupled conduction and convection problems of practical interest

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