Численное решение температурных эффектов в полимерных материалах при обработке их импульсными ионными пучками с учетом релаксационного параметра потоков тепла

Abstract

A one-dimensional problem numerical simulation of the thermal wave motion in a material is carried out. The material surface is processed by a pulsed ion beam. The pulse action as a source function is given by a linear dependence on a time and an ion penetration depth into the material. The above heat-conduction equation is a non-linear differential equation with a parameter which presents the relaxation time of the heat flux. The heat-conduction equation is supplemented by the heat flow change in time equation, which was proposed by Cattaneo and Vernotte. The temperature and heat flux equations system is numerically solved with using the finite difference method. A significant relaxation parameter value influence on the temperature profiles formation in the treated material surface vicinity is shown.