CONVECTIVE AND RADIATIVE THERMAL TRANSFER WITH MULTIPLE REFLECTIONS: ANALYSIS AND APPROXIMATION BY A FINITE ELEMENT METHOD-Reference-Cited by-同舟云学术

CONVECTIVE AND RADIATIVE THERMAL TRANSFER WITH MULTIPLE REFLECTIONS: ANALYSIS AND APPROXIMATION BY A FINITE ELEMENT METHOD

Published:2001-03 Issue:02 Volume:11 Page:229-262
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

MONNIER J.¹,VILA J. P.²

Affiliation:

1. Laboratoire de Modélisation et Calcul (LMC-IMAG), BP 53, F-38041 Grenoble Cedex 9, France

2. Institut National des Sciences Appliquées de Toulouse (INSA), Département Génie Mathématique UMR CNRS 5640, Modélisation pour l'Industrie et la Physique, F-31077 Toulouse Cedex, France

Abstract

We study a 3D steady-state thermal model taking into account heat transfer by convection, diffusion and radiation with multiple reflections (grey bodies). This model is a nonlinear integrodifferential system which we solve numerically by a finite element method. Some results of existence and uniqueness of the solution are proved, the numerical analysis is detailed, error estimates are given and two-dimensional numerical results of thermal exchanges under a car bonnet are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202501000854

Reference8 articles.

1. Finite dimensional approximation of nonlinear problems

2. FREE CONVECTION WITH RADIATIVE THERMAL TRANSFER OF GREY BODIES: ANALYSIS AND APPROXIMATION BY FINITE ELEMENT METHODS

3. Équation de la chaleur et réflections multiples

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