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Номер журнала: 2019.2

Заголовок статьи: Mathematical modeling of transition thermal processes taking into account effect of thermal relaxation and thermal damping

Резюме

The article presents a mathematical model with dual phase lag based on the heat conduction equation of hyperbolic type, taking into account effect of thermal relaxation and thermal damping. The numerical solution of the hyperbolic heat conduction problem is obtained taking into account the final speed of heat spread and temperature damping. The implementation of the grid method using a three-layer implicit difference scheme in solv-ing the problem of non-stationary heat conductivity for a transition thermal processes were treated. An algorithm for calculating the temperature field using a dual phase lag equation is described. The results of calculations of temperature fields in biological tissues accord-ing to the hyperbolic thermal conductivity equation for the calculation area within the dual phase zone are presented.

Авторы

L. S. Petrova, E. V. Zaets

Ключевые слова

mathematical model, heat conduction equation of hyperbolic type, model with dual phase lag, numerical methods, sweep method.