Abo Bibliothek: Guest

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

Volumen 8, Ausgabe 4, 2005, pp. 347-354
DOI: 10.1615/JPorMedia.v8.i4.20
Get accessGet access

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.

REFERENZIERT VON
  1. Ginkin V. P., Kartavykh A. V., Cluster hydrodynamic model of the heat and mass transfer in crystal growth and its significance for space materials science, Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, 3, 1, 2009. Crossref

  2. Kartavykh A. V., Ginkin V. P., Melt structural self-organization in the transition layer during crystal growth under microgravity conditions, Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, 3, 1, 2009. Crossref

  3. Kartavykh A., Ginkin V., Ganina S., Rex S., Hecht U., Schmitz B., Voss D., Numerical study of convection-induced peritectic macro-segregation effect at the directional counter-gravity solidification of Ti–46Al–8Nb alloy, Intermetallics, 19, 6, 2011. Crossref

  4. Goldstein R.J., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Srinivasan V., Ghosh K., Mittal R., Heat transfer—A review of 2005 literature, International Journal of Heat and Mass Transfer, 53, 21-22, 2010. Crossref

  5. Kartavykh A., Ginkin V., Ganina S., Rex S., Hecht U., Schmitz B., Voss D., Convection-induced peritectic macro-segregation proceeding at the directional solidification of Ti–46Al–8Nb intermetallic alloy, Materials Chemistry and Physics, 126, 1-2, 2011. Crossref

  6. Kartavykh A.V., Ganina S., Grothe Dieter, Lemoisson Fabienne, Herfs W., Numerical Simulation of TiAl-Nb Alloy Solidification Experiment in TEM 01-3M Facility Aboard MAXUS 8, Materials Science Forum, 649, 2010. Crossref

Zukünftige Artikel

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen Preise und Aborichtlinien Begell House Kontakt Language English 中文 Русский Português German French Spain