Title: A new model of the heat transfer in materials: the surfacic potential algorithm

Authors: Maxence Bigerelle, Benaamer Bounichane, Benjamin Hagege, Abdeljalil Jourani, Alain Iost

Addresses: Theme Materiaux et Surfaces, Laboratoire Roberval, UTC/CNRS, UMR 6253, UTC, Centre de Recherches de Royallieu BP20529, 60205 Compiegne, France. ' Theme Materiaux et Surfaces, Laboratoire Roberval, UTC/CNRS, UMR 6253, UTC, Centre de Recherches de Royallieu BP20529, 60205 Compiegne, France. ' Theme Materiaux et Surfaces, Laboratoire Roberval, UTC/CNRS, UMR 6253, UTC, Centre de Recherches de Royallieu BP20529, 60205 Compiegne, France. ' Theme Materiaux et Surfaces, Laboratoire Roberval, UTC/CNRS, UMR 6253, UTC, Centre de Recherches de Royallieu BP20529, 60205 Compiegne, France. ' Arts et Metiers ParisTech, CNRS, LMPGM, 8, Boulevard Louis XIV, 59046 Lille Cedex, France

Abstract: This paper proposes a new simulation method of thermal transfers based on the concepts of Brownian motion via the theory of potential and the characteristics of materials. In our simulation the particles take their origins on the surface and we propose an algorithm called |Surfacic Potential Algorithm| that allows to determine the cartography of the temperatures. This algorithm has a better convergence than the one resulting from the potential theory and allows to treat adiabatic surfaces. It also includes the thermal heterogeneity of material. Its relevance is verified on thermal problems whose analytical solution is known.

Keywords: thermal problems; conductivity; Monte Carlo simulation; potential theory; Brownian motion; phonons; heat transfer; modelling.

DOI: 10.1504/IJMPT.2010.031896

International Journal of Materials and Product Technology, 2010 Vol.38 No.1, pp.66 - 77

Published online: 01 Mar 2010 *

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