Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding
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 dif...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Universiti Putra Malaysia Press
1999
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| Online Access: | http://psasir.upm.edu.my/id/eprint/3485/ http://psasir.upm.edu.my/id/eprint/3485/1/Numerical_Analysis_of_Defects_Caused_by_Thermolysis_in_an.pdf |
| Summary: | 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. |
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