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...
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| Format: | Article |
| Language: | English English |
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Universiti Putra Malaysia Press
1999
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| Online Access: | http://psasir.upm.edu.my/id/eprint/3485/1/Numerical_Analysis_of_Defects_Caused_by_Thermolysis_in_an.pdf |
| _version_ | 1825943497629237248 |
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| author | Gumel, A. B. Twizell, E. H. |
| author_facet | Gumel, A. B. Twizell, E. H. |
| author_sort | Gumel, A. B. |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T07:01:16Z |
| format | Article |
| id | upm.eprints-3485 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T07:01:16Z |
| publishDate | 1999 |
| publisher | Universiti Putra Malaysia Press |
| record_format | dspace |
| spelling | upm.eprints-34852013-05-27T07:08:54Z http://psasir.upm.edu.my/id/eprint/3485/ Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding Gumel, A. B. Twizell, E. H. 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. Universiti Putra Malaysia Press 1999 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/3485/1/Numerical_Analysis_of_Defects_Caused_by_Thermolysis_in_an.pdf 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 English |
| spellingShingle | Gumel, A. B. Twizell, E. H. Numerical Analysis of Defects Caused by Thermolysis in an Infinite Cylindrical Ceramic Moulding |
| title | Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding |
| title_full | Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding |
| title_fullStr | Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding |
| title_full_unstemmed | Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding |
| title_short | Numerical Analysis of Defects Caused by Thermolysis in an
Infinite Cylindrical Ceramic Moulding |
| title_sort | numerical analysis of defects caused by thermolysis in an infinite cylindrical ceramic moulding |
| url | http://psasir.upm.edu.my/id/eprint/3485/1/Numerical_Analysis_of_Defects_Caused_by_Thermolysis_in_an.pdf |
| work_keys_str_mv | AT gumelab numericalanalysisofdefectscausedbythermolysisinaninfinitecylindricalceramicmoulding AT twizelleh numericalanalysisofdefectscausedbythermolysisinaninfinitecylindricalceramicmoulding |