Title: Mathematical modelling and computer simulation of steady state heat conduction in anisotropic multi-layered bodies
Authors: Manoj Kumar; Pratibha Joshi
Addresses: Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211004, UP, India ' Department of Mathematics, University of Petroleum and Energy Studies, Dehradun-248007, Uttarakhand, India
Abstract: The study of heat conduction in multilayered composite bodies is of great interest because of their importance in many engineering applications. Steady state heat conduction in bodies made of different material layers which have different thermal conductivities is governed by elliptic boundary value problem with interfaces. Solution of the corresponding problem is often difficult because of the discontinuity across the interface. In this paper, a mathematical model of such problems has been described and computer simulation of two such problems has been presented using decomposed immersed interface method using MATLAB.
Keywords: elliptic interface problems; steady state heat conduction; immersed interface method; IIM; composite materials; composites; mathematical modelling; simulation; anisotropic multi-layered bodies.
International Journal of Computing Science and Mathematics, 2013 Vol.4 No.2, pp.85 - 119
Received: 19 Sep 2012
Accepted: 01 Nov 2012
Published online: 10 May 2014 *