Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding

Gumel, A. B. and Twizell, E. H. (1999) Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding. Pertanika Journal of Science & Technology, 7 (1). pp. 13-24. ISSN 0128-7680

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Abstract

The second-order parabolic (diffusion) equation, which governs the concentration of monomer during pyrolysis of a cylindrical ceramic moulding containing a polymer which degrades to monomer only, is solved: an infinite cylinder is considered. The method of lines is used to transform the partial differential equation into a system of first-order linear ordinary differential equations, the solution of which is seen to satisfy a recurrence relation. The concentration profile at a given time is computed by replacing the matrix exponential terms in this recurrence relation by a high-order Pade approximate. A parallel algorithm using two processors is developed by taking the partial fraction decomposition of the Pade approximate and a (matrix) rational expression in the recurrence relation.

Item Type:Article
Keyword:numerical analysis defects, thermolysis, in Hnite cylindrical ceramic moulding
Publisher:Universiti Putra Malaysia Press
ID Code:3485
Deposited By: Nur Izzati Mohd Zaki
Deposited On:26 Nov 2009 07:08
Last Modified:27 May 2013 07:08

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