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
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.
Repository Staff Only: Edit item detail