Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
Journal of Porous Media
Impact-faktor: 1.752 5-jähriger Impact-Faktor: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

Volumes:
Volumen 23, 2020 Volumen 22, 2019 Volumen 21, 2018 Volumen 20, 2017 Volumen 19, 2016 Volumen 18, 2015 Volumen 17, 2014 Volumen 16, 2013 Volumen 15, 2012 Volumen 14, 2011 Volumen 13, 2010 Volumen 12, 2009 Volumen 11, 2008 Volumen 10, 2007 Volumen 9, 2006 Volumen 8, 2005 Volumen 7, 2004 Volumen 6, 2003 Volumen 5, 2002 Volumen 4, 2001 Volumen 3, 2000 Volumen 2, 1999 Volumen 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v8.i4.20
pages 347-354

Porous Solid Model to Describe Heat-Mass Transfer near Phase Transition Interface in Crystal Growth from Melt Simulations

ABSTRAKT

In simulating the process of crystal growing from the melt it is of crucial importance to describe correctly convective heat-mass transfer in the melt, especially at the crystallization front. Most models use the Navier-Stokes equation in the Boussinesq approximation. The approximation is based on all properties of the melt being independent of pressure and represents the heat-mass transfer process very well when the flow is laminar.
In dealing with non-stationary models, however, account should be taken of the presence of a transitional boundary layer near the crystallization front whose thermal properties may differ greatly from those of a pure melt. As a rule it is assumed that the thickness of the layer with transitional properties is small and all properties of the material being simulated are changed abruptly at the interface. In reality, the boundary layer thickness depends on the crystallization front velocity and temperature gradients in the region and may be not so small. As the properties of the melt in this region differ from those of the rest of the melt an additional term appears in the equation to describe the frictional force which impedes the flow along the crystallization boundary.
A model where the additional frictional force originating in the boundary layer near the crystallization front is described in terms of porous solid approximation is presented. The force is proportional to the crystallization front velocity and the Solid-to-liquid phase ratio in the boundary layer region, the share of each phase is calculated using the specific enthalpy value for the melt in the region.


Articles with similar content:

MATHEMATICAL MODEL OF HEAT-MASS TRANSFER DURING CRYSTAL GROWTH PROCESS INCLUDING CLUSTER MODEL OF A MELT CONSTITUTION
ICHMT DIGITAL LIBRARY ONLINE, Vol.11, 2004, issue
Michael Zabudko, Olga Naumenko, Michael Milvidsky, Andrey Kartavykh
MELTING PROCESS WITH THE SOLID BULK MOTION IN A RECTANGULAR CAVITY
International Heat Transfer Conference 9, Vol.4, 1990, issue
Sung Tack Ro, Hoseon Yoo
INTERFACIAL THERMAL CONTACT DURING RAPID SOLIDIFICATION ON A SUBSTRATE
International Heat Transfer Conference 10, Vol.9, 1994, issue
G.-X. Wang , E.F. Matthys
Concerning the Theory of the Incipience of the Two-Phase Mushy Zone in Solidification of Binary Melts
Heat Transfer Research, Vol.34, 2003, issue 3&4
Dmitri V. Alexandrov
MORPHOLOGICAL EVOLUTION OF MUSHY ZONE AND EFFECT OF MUSHY ZONE CONSTANT DURING MELTING PROCESS
International Heat Transfer Conference 16, Vol.12, 2018, issue
Bei Yang, Yan Wang, TieJun Zhang, Fengwu Bai, Zhifeng Wang