Abstract:
The paper considers the effect of isotropic and anisotropic scattering of radiation on the melting (solidification) of a flat layer of a semitransparent medium between opaque surfaces. The mathematical model of the phase transition is the classical formulation of the Stefan problem. From results of numerical calculations it follows that radiation scattering has a significant effect on the rate of propagation of the phase transition front and formation of a temperature profile during melting (solidification) of a semitransparent medium.
Citation:
N. A. Rubtsov, N. A. Savvinova, “Effect of radiation scattering on the melting and solidification of a flat layer of a translucent medium”, Prikl. Mekh. Tekh. Fiz., 42:6 (2001), 98–105; J. Appl. Mech. Tech. Phys., 42:6 (2001), 1007–1013
\Bibitem{RubSav01}
\by N.~A.~Rubtsov, N.~A.~Savvinova
\paper Effect of radiation scattering on the melting and solidification of a flat layer of a translucent medium
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2001
\vol 42
\issue 6
\pages 98--105
\mathnet{http://mi.mathnet.ru/pmtf2850}
\elib{https://elibrary.ru/item.asp?id=17265482}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2001
\vol 42
\issue 6
\pages 1007--1013
\crossref{https://doi.org/10.1023/A:1012517928420}
Linking options:
https://www.mathnet.ru/eng/pmtf2850
https://www.mathnet.ru/eng/pmtf/v42/i6/p98
This publication is cited in the following 5 articles:
G.A. Bufetova, S.Ya. Rusanov, V.F. Seregin, Yu.N. Pyrkov, V.A. Kamynin, V.B. Tsvetkov, “Temperature distribution across the growth zone of sapphire (Al 2 O 3 ) and yttrium–aluminum garnet (YAG) single crystal fibers”, Journal of Crystal Growth, 433 (2016), 54
Mirosław Seredyński, Piotr Łapka, Jerzy Banaszek, Piotr Furmański, “Front tracking method in modeling transport phenomena accompanying liquid–solid phase transition in binary alloys and semitransparent media”, International Journal of Heat and Mass Transfer, 90 (2015), 790
Hong-Liang Yi, Cun-Hai Wang, He-Ping Tan, Yu Zhou, “Radiative heat transfer in semitransparent solidifying slab considering space–time dependent refractive index”, International Journal of Heat and Mass Transfer, 55:5-6 (2012), 1724
Hong-Liang Yi, He-Ping Tan, Yu Zhou, “Coupled radiation and solidification heat transfer inside a graded index medium by finite element method”, International Journal of Heat and Mass Transfer, 54:13-14 (2011), 3090
Piotr Łapka, Piotr Furmański, “Numerical modelling of solidification processes of semitransparent materials using the enthalpy and the finite volume methods”, Heat Mass Transfer, 44:8 (2008), 937
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