A РЕШЕНИЕ ДВУХФАЗНОЙ СФЕРИЧЕСКОЙ ОБРАТНОЙ ЗАДАЧИ СТЕФАНА С ЛИНЕЙНОЙ КОМБИНАЦИЕЙ РАДИАЛЬНЫХ ТЕПЛОВЫХ ПОЛИНОМОВ И ФУНКЦИЙ ИНТЕГРАЛЬНЫХ ОШИБОК В ПРОЦЕССЕ ЭЛЕКТРИЧЕСКОГО КОНТАКТА

Abstract

In this research the inverse Stefan problem in spherical model where heat flux has to be determined is considered. This work is continuing of our research in electrical engineering that when heat flux passes through one material to the another material at the point where they contact heat distribution process takes the place. At free boundary contact spot starts to boiling and at  stars to melting and there appear two phase: liquid phase and solid phase. Our aim to calculate temperature in liquid and solid phase, then find heat flux entering into contact spot. The exact solution of problem represented in linear combination of series for radial heat polynomials and integral error functions. The recurrent formulas for determine unknown coefficients are represented. The effectiveness of method is checked by test problem and approximate problem in which exact solution and approximate solution of heat flux is compared.