Mathematical Simulation of the Locally Nonequilibrium Heat Transfer in a Body with Account for its Nonlocality in Space and Time View Full Text


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Article Info

DATE

2015-03

AUTHORS

I. V. Kudinov, V. A. Kudinov

ABSTRACT

Differential equations for the locally nonequilibrium heat transfer in an infinite 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 first-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 coefficient of heat transfer cannot exceed any limiting values determined by the physical properties (including the relaxation ones) of the body. More... »

PAGES

406-422

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10891-015-1206-6

DOI

http://dx.doi.org/10.1007/s10891-015-1206-6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1023257344


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