Mathematical Models of Heat Conduction with a Two-Phase Lag

HEAT CONDUCTION AND HEAT EXCHANGE IN TECHNOLOGICAL PROCESSES
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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.

Keywords

heat conduction two-phase lag thermal relaxation density of a heat flow temperature gradient 
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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Moscow State Technological UniversityMoscowRussia

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