THE METHOD OF INTEGRAL TRANSFORMATIONS FOR SOLVING BOUNDARY-VALUE PROBLEMS FOR THE HEAT CONDUCTION EQUATION IN LIMITED AREAS CONTAINING A MOVING BOUNDARY

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 fi elds, as well as the velocity of motion of the interface at large Fourier numbers
   
Author:  V. V. Shevelev
Keywords:  integral transformation, phase transition, heat conduction, interface, limited region
Page:  168