The Method of Integral Transformations for Solving Boundary-Value Problems for the Heat Conduction Equation in Limited Areas Containing a Moving Boundary.

Autor:	Shevelev, V. V.
Předmět:	BOUNDARY value problems HEAT conduction HEAT equation PROBLEM solving PHASE transitions
Zdroj:	Journal of Engineering Physics & Thermophysics; Jan2023, Vol. 96 Issue 1, p168-177, 10p
Abstrakt:	A method of integral transformations for solving the boundary-value problems for the equation of heat conduction in limited regions containing a moving boundary of phase transition has been developed. New integral representations of the solutions of boundary-value problems for the heat conduction equation under different boundary conditions assigned on the outer fixed boundaries of a limited region are obtained. The analytical expressions obtained by the proposed method for solving the indicated boundary-value problems are convenient for calculating and studying the temperature fields, as well as the velocity of motion of the interface at large Fourier numbers. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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