Abstract:
The effect of isotropic scattering in a two-phase zone on the velocity of boundaries, thickness of the transitional zone, and distribution of the solid phase over the two-phase zone thickness in the course of solidification of a semitransparent material is considered. A generalized model of phase transition in a semitransparent medium is used. The results of numerical calculations show that radiation scattering can exert a significant effect on the structure and size of the two-phase zone and also on heat transfer (temperature gradient) in the crystal being formed.
Citation:
N. A. Rubtsov, N. A. Savvinova, “Effect of radiation scattering on the dynamics of the transitional zone during solidification of a semitransparent material”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 91–96; J. Appl. Mech. Tech. Phys., 44:5 (2003), 676–680
\Bibitem{RubSav03}
\by N.~A.~Rubtsov, N.~A.~Savvinova
\paper Effect of radiation scattering on the dynamics of the transitional zone during solidification of a semitransparent material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 91--96
\mathnet{http://mi.mathnet.ru/pmtf2541}
\elib{https://elibrary.ru/item.asp?id=17274833}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 676--680
\crossref{https://doi.org/10.1023/A:1025556304162}
Linking options:
https://www.mathnet.ru/eng/pmtf2541
https://www.mathnet.ru/eng/pmtf/v44/i5/p91
This publication is cited in the following 5 articles:
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
Leonid A. Dombrovsky, “An Extension of the Large-Cell Radiation Model for the Case of Semitransparent Nonisothermal Particles”, Journal of Heat Transfer, 132:2 (2010)
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