MATHEMATICAL MODELS OF HEAT CONDUCTION WITH A TWO-PHASE LAG

A mathematical theory has been developed for boundary-value problems of nonstationary heat conduction with a dual-phase lag. Features of analytical solutions of such heat problems are described. On the basis of the integral transformations proposed, an exact analytical solution of the practically important third boundary-value problem on the indicated heat conduction in the general formulation (plate, cylinder, sphere) has been obtained in the form of new functional constructions.
   
Author:  E. M. Kartashov
Keywords:  heat conduction, two-phase lag, thermal relaxation, density of a heat flow, temperature gradient
Page:  346