Open AccessThe 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
Author(s) -
Uladzimir V. Karalevich,
Dmitrij G. Medvedev
Publication year - 2020
Publication title -
žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika/žurnal belorusskogo gosudarstvennogo universiteta. matematika, informatika
Language(s) - English
Resource type - Journals
eISSN - 2617-3956
pISSN - 2520-6508
DOI - 10.33581/2520-6508-2020-3-86-91
Subject(s) - orthotropic material , thermal conduction , polar , anisotropy , conical surface , mechanics , heat equation , ring (chemistry) , materials science , distribution (mathematics) , condensed matter physics , geometry , physics , thermodynamics , chemistry , mathematical analysis , composite material , mathematics , optics , finite element method , quantum mechanics , organic chemistry
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.