Thermal State of Two Contacting Thermosensitive Layers Under Complex Heat Exchange

被引：0

作者：

O. M. Vovk ^{[1
]}

机构：

[1] National Academy of Sciences of Ukraine,Pidstryhach Institute for Applied Problems in Mechanics and Mathematics

来源：

Journal of Mathematical Sciences | 2025年 / 287卷 / 2期

关键词：

nonlinear problem of heat conduction; thermosensitive layers; method of linearizing parameters; adapted Prudnikov formula; method of successive approximations;

D O I：

10.1007/s10958-025-07594-7

中图分类号：

学科分类号：

摘要：

We solve the nonstationary problem of heat conduction for two contacting thermosensitive layers under the conditions of complex heat exchange with ambient media. The solution is obtained by using the analytical-numerical approach based on the application of a version of the methods of successive approximations, linearizing parameters, Laplace integral transform, and its numerical inversion with the help of the Prudnikov formula adapted to the problems of heat conduction. We investigate the thermal state of the outlined thermosensitive piecewise-homogeneous structure for different combinations of boundary conditions on its surfaces.

引用

页码：334 / 345

页数：11

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