Group method analysis of two-dimensional plate in heat flux
The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, Ω, placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree n. The Laplace's equation has been reduced to secon...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203206335 |
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| _version_ | 1850105715375472640 |
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| author | Mina B. Abd-el-Malek Fayez H. Michael Samy M. A. El-Mansi |
| author_facet | Mina B. Abd-el-Malek Fayez H. Michael Samy M. A. El-Mansi |
| author_sort | Mina B. Abd-el-Malek |
| collection | DOAJ |
| description | The group transformation theoretic approach is applied to present
an analytic study of the temperature distribution in a triangular
plate, Ω, placed in the field of heat flux, along one
boundary, in a form of polynomial functions of any degree n. The Laplace's equation has been reduced to second-order
linear ordinary differential equation with an appropriate
boundary conditions. Exact solution has been obtained for general
shape of Ω and different boundary conditions. |
| format | Article |
| id | doaj-art-38fbbd69bfd8487abdf49048977b241b |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-38fbbd69bfd8487abdf49048977b241b2025-08-20T02:38:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003221369138210.1155/S0161171203206335Group method analysis of two-dimensional plate in heat fluxMina B. Abd-el-Malek0Fayez H. Michael1Samy M. A. El-Mansi2Department of Mathematics, School of Engineering and Sciences, The American University in Cairo, Cairo 11511, EgyptDepartment of Mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptDepartment of Mathematics, School of Engineering and Sciences, The American University in Cairo, Cairo 11511, EgyptThe group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate, Ω, placed in the field of heat flux, along one boundary, in a form of polynomial functions of any degree n. The Laplace's equation has been reduced to second-order linear ordinary differential equation with an appropriate boundary conditions. Exact solution has been obtained for general shape of Ω and different boundary conditions.http://dx.doi.org/10.1155/S0161171203206335 |
| spellingShingle | Mina B. Abd-el-Malek Fayez H. Michael Samy M. A. El-Mansi Group method analysis of two-dimensional plate in heat flux International Journal of Mathematics and Mathematical Sciences |
| title | Group method analysis of two-dimensional plate in heat flux |
| title_full | Group method analysis of two-dimensional plate in heat flux |
| title_fullStr | Group method analysis of two-dimensional plate in heat flux |
| title_full_unstemmed | Group method analysis of two-dimensional plate in heat flux |
| title_short | Group method analysis of two-dimensional plate in heat flux |
| title_sort | group method analysis of two dimensional plate in heat flux |
| url | http://dx.doi.org/10.1155/S0161171203206335 |
| work_keys_str_mv | AT minababdelmalek groupmethodanalysisoftwodimensionalplateinheatflux AT fayezhmichael groupmethodanalysisoftwodimensionalplateinheatflux AT samymaelmansi groupmethodanalysisoftwodimensionalplateinheatflux |