caa a22 4500 606188959 CHVBK 20210128100848.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10891-015-1238-y doi (NATIONALLICENCE)springer-10.1007/s10891-015-1238-y Analytical Solutions of Heat-Conduction Problems with Time-Varying Heat-Transfer Coefficients [Elektronische Daten] [V. Kudinov, A. Eremin, E. Stefanyuk] The problem on heat conduction of an infinite plate with a heat-transfer coefficient changing linearly with time for third-kind boundary conditions was solved analytically based on determination of the front of a temperature disturbance in this plate and introduction of additional boundary conditions. On the basis of the solution obtained, graphs of the distribution of isotherms in the indicated plate and the velocities of their movement along a spatial variable in it were constructed. As a result of the solution of the inverse problem on the heat conduction of the infinite plate with the use of the results of numerical calculation of the change in its temperature at any point on the indicated spatial coordinate, the Predvoditelev number was identified with an accuracy of 2%, which made it possible to determine the time dependence of the heat-transfer coefficient of the plate. Springer Science+Business Media New York, 2015 heat-transfer coefficient nationallicence temperature-disturbance front nationallicence inverse heat-conduction problem nationallicence isotherms nationallicence Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Eremin A. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Stefanyuk E. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/3(2015-05-01), 688-698 1062-0125 88:3<688 2015 88 10891 https://doi.org/10.1007/s10891-015-1238-y 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/s10891-015-1238-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kudinov V. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 700 1- Eremin A. Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia aut NATIONALLICENCE 700 1- Stefanyuk E. 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 88/3(2015-05-01), 688-698 1062-0125 88:3<688 2015 88 10891