Математичне моделювання процесів поширення тепла у кусково-однорідних середовищах, що частково заповнені рідиною

Abstract

Mathematical modeling of heat propagation processes in piecewise-homogeneous media partially filled with a liquid is an important problem in applied mathematics, thermal physics, and engineering. The main difficulty of problems of this class lies in the fact that the thermal conductivity coefficients differ in various subdomains, conjugation (interface) conditions arise at the boundaries between media, and convective heat transfer may occur in the liquid region. The paper describes a mathematical model and substantiates the feasibility of using the structural-variational method (the R-functions method) for its numerical analysis