Geodesic
The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2020), pp. 86-91

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We study the influence of $N$ extended heat sources at external boundaries on the nonaxisymmetric temperature distribution on profiled polar-orthotropic ring plates and take into account heat exchange with the external environment. The solution of the stationary heat conduction problem for anisotropic annular plates of a 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 conductivity problem for a reverse conical polar-orthotropic ring plate 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 conductivity; Volterra integral equation of the second kind; reverse conical ring plate. 
@article{BGUMI_2020_3_a8,
     author = {V. V. Korolevich and D. G. Medvedev},
     title = {The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment},
     journal = {Journal of the Belarusian State University. Mathematics and Informatics},
     pages = {86--91},
     publisher = {mathdoc},
     volume = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/BGUMI_2020_3_a8/}
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V. V. Korolevich; D. G. Medvedev. The influence of the length of heat sources on the external border on the temperature distribution in profiled polar-orthotropic ring plates taking into account there heat exchange with the external environment. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2020), pp. 86-91. http://geodesic.mathdoc.fr/item/BGUMI_2020_3_a8/