caa a22 4500 606189475 CHVBK 20210128100850.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10891-015-1293-4 doi (NATIONALLICENCE)springer-10.1007/s10891-015-1293-4 Nonstationary Axisymmetric Temperature Field in a Two-Layer Slab Under Mixed Heating Conditions [Elektronische Daten] [I. Turchin, I. Timar, Yu. Kolodii] With the use of the Laguerre and Hankel integral transforms, the solution of a two-dimensional initial-boundary-value heat conduction problem for a two-layer slab under mixed boundary conditions is constructed: one of the surfaces is heated by a heat flux distributed axisymmetrically in a circle of radius R and is cooled by the Newton law outside this circle. The solution of the problem is reduced to a sequence of infinite quasi-regular systems of algebraic equations. The results of numerical analysis of the temperature field in the two-layer slab made from an aluminum alloy and ceramicsare presented depending on the relative geometric properties of the components and cooling intensity. Springer Science+Business Media New York, 2015 nonstationary heat conduction nationallicence mixed boundary conditions nationallicence inhomogeneous body nationallicence Laguerre polynomials nationallicence paired integral equations nationallicence Turchin I. Ivan Franko L′vov National University, 1 Universitetskaya Str., 79000, L′vov, Ukraine aut Timar I. Pannon Egyetem, Geptan Intezeti Tanszek, 10 Egyetem u., 8201, Vezsprem, Hungary aut Kolodii Yu Ivan Franko L′vov National University, 1 Universitetskaya Str., 79000, L′vov, Ukraine aut Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/5(2015-09-01), 1135-1144 1062-0125 88:5<1135 2015 88 10891 https://doi.org/10.1007/s10891-015-1293-4 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/s10891-015-1293-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Turchin I. Ivan Franko L′vov National University, 1 Universitetskaya Str., 79000, L′vov, Ukraine aut NATIONALLICENCE 700 1- Timar I. Pannon Egyetem, Geptan Intezeti Tanszek, 10 Egyetem u., 8201, Vezsprem, Hungary aut NATIONALLICENCE 700 1- Kolodii Yu Ivan Franko L′vov National University, 1 Universitetskaya Str., 79000, L′vov, Ukraine aut NATIONALLICENCE 773 0- Journal of Engineering Physics and Thermophysics Springer US; http://www.springer-ny.com 88/5(2015-09-01), 1135-1144 1062-0125 88:5<1135 2015 88 10891