Three-Dimensional, Steady-State Heat Conduction in Cylinders of General Anisotropic-Media
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This paper provides the analytical solution of three-dimensional steady-state heat conduction in solid and hollow cylinders of general anisotropic-media. By the use of Fourier transforms and a change of variables the partial differential equation is reduced to Kummer’s equation. Some calculated results for a solid cylinder are shown and discussed. A parameter γ is found to represent the coupling effect of three-dimensional anisotropy. For small values of γ, an approximate solution is recommended. The inequality σ > 0 which was found in an earlier paper is further discussed.
2012 ◽
Vol 55
(17-18)
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pp. 4837-4848
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1993 ◽
Vol 36
(8)
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pp. 2021-2026
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2015 ◽
Vol 60
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pp. 67-80
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2015 ◽
Vol 60
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pp. 137-143
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2018 ◽
Vol 75
(5)
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pp. 1739-1755
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2008 ◽
Vol 51
(5-6)
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pp. 1439-1452
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2018 ◽
pp. 1123
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2019 ◽
Vol 76
(6)
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pp. 351-365
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