MATHEMATICAL SIMULATION OF THE LOCALLY NONEQUILIBRIUM HEAT TRANSFER IN A BODY WITH ACCOUNT FOR ITS NONLOCALITY IN SPACE AND TIME

Differential equations for the locally nonequilibrium heat transfer in an infi nite plate, in which the nonlocality of this plate in space and time is taken into account, have been derived. Exact analytical solutions of these equations were obtained and analyzed in detail. This analysis has shown that, in the case where the nonlocality of the plate in space and time is taken into account in the indicated equations, they do not give abrupt changes in the temperature of the plate and negative temperatures for it. It was established that, in locally nonequilibrium processes, the fi rst-kind boundary conditions (a heat shock) cannot be realized instantaneously at any conditions of heat exchange between a body and the environment and that, consequently, in the process of this exchange, the coeffi cient of heat transfer cannot exceed any limiting values determined by the physical properties (including the relaxation ones) of the body
   
Author:  I. V. Kudinov and V. A. Kudinov
Keywords:  locally nonequilibrium heat exchange, space and time nonlocality, relaxation coeffi cient, heat fl ow, temperature gradient.
Page:  406