caa a22 4500 60618967X CHVBK 20210128100851.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10891-015-1206-6 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1206-6 Mathematical Simulation of the Locally Nonequilibrium Heat Transfer in a Body with Account for its Nonlocality in Space and Time [Elektronische Daten] [I. Kudinov, V. Kudinov] 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. Springer Science+Business Media New York, 2015 locally nonequilibrium heat exchange nationallicence space and time nonlocality nationallicence relaxation coefficient nationallicence heat flow nationallicence temperature gradient nationallicence Kudinov I. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 406-422 1062-0125 88:2<406 2015 88 10891 https://doi.org/10.1007/s10891-015-1206-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10891-015-1206-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kudinov I. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 700 1- Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/2(2015-03-01), 406-422 1062-0125 88:2<406 2015 88 10891