Group method analysis of two-dimensional plate in heat flux (Q1811912)
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scientific article; zbMATH DE number 1930035
| Language | Label | Description | Also known as |
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| English | Group method analysis of two-dimensional plate in heat flux |
scientific article; zbMATH DE number 1930035 |
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Group method analysis of two-dimensional plate in heat flux (English)
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18 June 2003
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Summary: The group transformation theoretic approach is applied to present an analytic study of the temperature distribution in a triangular plate \(\Omega\), placed in the field of heat flux, along one boundary, in the form of polynomial functions of any degree. The Laplace equation has been reduced to a second-order linear ordinary differential equation with an appropriate boundary condition. Exact solutions have been obtained for general shape of \(\Omega\) and different boundary conditions.
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temperature distribution in a triangular plate
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