Academic Journal
Stationary temperature fields in the anisotropic ring plates of variable thickness considering the heat exchange with external environment
| العنوان: | Stationary temperature fields in the anisotropic ring plates of variable thickness considering the heat exchange with external environment |
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| المؤلفون: | Uladzimir V. Karalevich |
| المصدر: | Журнал Белорусского государственного университета: Математика, информатика, Iss 2, Pp 58-66 (2019) |
| بيانات النشر: | Belarusian State University, 2019. |
| سنة النشر: | 2019 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | polar-orthotropic annular plate, temperature, stationary equation of heat conductivity, differential equation, volterra integral equation of the second kind, plate of a constant thickness, вack conical plate, сonical plate, plate of a power profile, plate of an exponential profile, Mathematics, QA1-939 |
| الوصف: | The solution of the axisymmetric stationary problem of the heat conductivity for profiled polarorthotropic annular plates considering the heat exchange with external environment through the bases is presented. Thermophysical characteristics of the material of the plate are assumed to be temperatureindependent. The temperature values on the contours of the annular plate are given. There are no internal heat sources in the plate. The temperature distribution in such plates will be axisymmetric. Analytical solutions of the stationary heat conductivity problem for the following anisotropic annular plates are presented: the plate of constant thickness, the back conical and the conical plate. The Volterra integral equation of the second kind corresponding to the given differential equation of the stationary heat conductivity for profiled anisotropic annular plates is written to obtain the solution in the general case. The kernels of the integral equation for anisotropic annular plates of power and exponential profiles are given explicitly. The solution of the integral equation is written by using the resolvent. It is indicated that due to the presence of irrational functions in the kernels of the integral equation it is necessary to apply numerical methods in the calculation of iterated kernels or numerically solve the Volterra integral equation of the second kind. A formula for the calculation of temperatures in anisotropic annular plates of an arbitrary profile is given. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | Belarusian English Russian |
| تدمد: | 2520-6508 2617-3956 |
| Relation: | https://journals.bsu.by/index.php/mathematics/article/view/784; https://doaj.org/toc/2520-6508; https://doaj.org/toc/2617-3956 |
| URL الوصول: | https://doaj.org/article/1ee939f1834344b58fdae15e16c8544e |
| رقم الانضمام: | edsdoj.1ee939f1834344b58fdae15e16c8544e |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 25206508 26173956 |
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