Green's functions, temperature and heat flux in the rectangle
Steady heat conduction in the rectangle is treated with the method of Green's functions. Single-sum series for the Green's functions are reported in terms of exponentials which have better numerical properties than hyperbolic functions. Series expressions for temperature and heat flux caus...
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| Veröffentlicht in: | International journal of heat and mass transfer 2001-10, Vol.44 (20), p.3883-3894 |
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| container_title | International journal of heat and mass transfer |
| container_volume | 44 |
| creator | Cole, Kevin D Yen, David H.Y |
| description | Steady heat conduction in the rectangle is treated with the method of Green's functions. Single-sum series for the Green's functions are reported in terms of exponentials which have better numerical properties than hyperbolic functions. Series expressions for temperature and heat flux caused by spatially uniform effects are presented. The numerical convergence of these series is improved, in some cases by a factor of 1000, by replacing slowly converging portions of the series with fully summed forms. This work is motivated by high-accuracy verification of finite-difference and finite-element codes. |
| doi_str_mv | 10.1016/S0017-9310(01)00040-0 |
| format | Article |
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Single-sum series for the Green's functions are reported in terms of exponentials which have better numerical properties than hyperbolic functions. Series expressions for temperature and heat flux caused by spatially uniform effects are presented. The numerical convergence of these series is improved, in some cases by a factor of 1000, by replacing slowly converging portions of the series with fully summed forms. 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| identifier | ISSN: 0017-9310 |
| ispartof | International journal of heat and mass transfer, 2001-10, Vol.44 (20), p.3883-3894 |
| issn | 0017-9310 1879-2189 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Analytical and numerical techniques Exact sciences and technology Fundamental areas of phenomenology (including applications) Green's functions Heat conduction Heat transfer Laplace equation Physics Rectangle Series convergence |
| title | Green's functions, temperature and heat flux in the rectangle |
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