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

37Citations
Citations of this article
16Readers
Mendeley users who have this article in their library.
Get full text

Abstract

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 and Sons, Ltd.

Cite

CITATION STYLE

APA

Asllanaj, F., Milandri, A., Jeandel, G., & Roche, J. R. (2002). A finite difference solution of non-linear systems of radiative-conductive heat transfer equations. International Journal for Numerical Methods in Engineering, 54(11), 1649–1668. https://doi.org/10.1002/nme.490

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free