A finite difference solution of non‐linear systems of radiative–conductive heat transfer equations | Zendy

Asllanaj F. | Zendy; Milandri A. | Zendy; Jeandel G. | Zendy; Roche J. R. | Zendy

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A finite difference solution of non‐linear systems of radiative–conductive heat transfer equations

Author(s) -

Asllanaj F.,

Milandri A.,

Jeandel G.,

Roche J. R.

Publication year - 2002

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.490

Subject(s) - finite difference , heat transfer , thermal conduction , radiative transfer , finite difference method , thermal radiation , mathematics , mathematical analysis , differential equation , partial differential equation , mechanics , physics , thermodynamics , optics

A finite difference solution for a system of non‐linear integro–differential equations modelling the steady‐state combined radiative–conductive heat transfer is proposed. A new backward–forward finite difference scheme is formulated for the Radiative Transfer Equation. The non‐linear heat conduction equation is solved using the Kirchhoff transformation associated with a centred finite difference scheme. The coupled system of equations is solved using a fixed‐point method, which relates to the temperature field. An application on a real insulator composed of silica fibres is illustrated. The results show that the method is very efficient. Copyright © 2002 John Wiley & Sons, Ltd.

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