Geodesic
Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases
Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2021), pp. 99-104

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The solution of the stationary heat conduction problem for profiled polar-orthotropic annular plates with heat-insulated bases from N extended heat sources at their external border is presented. The temperature distribution in such plates will be non-axisymmetric. The solution of the stationary heat conduction problem for anisotropic annular plates of an random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conduction problem for polar-orthotropic annular plate of an exponential profile is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.
Keywords: polar-orthotropic annular plate; temperature; stationary equation of heat conduction; Volterra integral equation of the second kind; plate of an exponential profile. 
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     author = {V. V. Korolevich and D. G. Medvedev},
     title = {Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {99--104},
     publisher = {mathdoc},
     volume = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2021_2_a8/}
}
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V. V. Korolevich; D. G. Medvedev. Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases. Journal of the Belarusian State University. Mathematics and Informatics, Tome 2 (2021), pp. 99-104. http://geodesic.mathdoc.fr/item/BGUMI_2021_2_a8/