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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 1
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Original Articles

An Enthalpy Model for Simulation of Dendritic Growth

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Pages 59-78 | Received 13 Dec 2004, Accepted 15 Jul 2005, Published online: 24 Feb 2007

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Guojun Yu, Bo Yu, Yongtu Liang, Min Wang, Yogendra Joshi & Dongliang Sun. (2017) A new general model for phase-change heat transfer of waxy crude oil during the ambient-induced cooling process. Numerical Heat Transfer, Part A: Applications 71:5, pages 511-527.
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M. Jegatheesan & Anirban Bhattacharya. (2022) A model for predicting the effects of buoyancy driven convection on solidification of binary alloy with nanoparticles. International Journal of Heat and Mass Transfer 182, pages 121916.
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M. Jegatheesan & Anirban Bhattacharya. (2021) An enthalpy based model for microstructure evolution during binary alloy solidification. Computational Materials Science 186, pages 110072.
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Amman Jakhar, Anirban Bhattacharya, Prasenjit Rath & Swarup Kumar Mahapatra. (2018) Effect of thermal anisotropy on binary alloy dendrite growth. International Journal of Heat and Mass Transfer 127, pages 1114-1127.
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Andreas König-Haagen, Erwin Franquet, Eric Pernot & Dieter Brüggemann. (2017) A comprehensive benchmark of fixed-grid methods for the modeling of melting. International Journal of Thermal Sciences 118, pages 69-103.
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Mohamad Ali Jaafar, Daniel R. Rousse, Stéphane Gibout & Jean-Pierre Bédécarrats. (2017) A review of dendritic growth during solidification: Mathematical modeling and numerical simulations. Renewable and Sustainable Energy Reviews 74, pages 1064-1079.
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Anirban Bhattacharya & Pradip Dutta. (2014) Effect of shrinkage induced flow on binary alloy dendrite growth: An equivalent undercooling model. International Communications in Heat and Mass Transfer 57, pages 216-220.
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Anirban Bhattacharya, Apoorva Kiran, Shyamprasad Karagadde & Pradip Dutta. (2014) An enthalpy method for modeling eutectic solidification. Journal of Computational Physics 262, pages 217-230.
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J. López, P. Gómez, J. Hernández & F. Faura. (2013) A two-grid adaptive volume of fluid approach for dendritic solidification. Computers & Fluids 86, pages 326-342.
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Anirban Bhattacharya, Shyamprasad Karagadde & Pradip Dutta. (2013) An equivalent undercooling model to account for flow effect on binary alloy dendrite growth rate. International Communications in Heat and Mass Transfer 47, pages 15-19.
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Anirban Bhattacharya & Pradip Dutta. (2013) An enthalpy-based model of dendritic growth in a convecting binary alloy melt. International Journal of Numerical Methods for Heat & Fluid Flow 23:7, pages 1121-1135.
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Shyamprasad Karagadde, Suresh Sundarraj & Pradip Dutta. (2012) A model for growth and engulfment of gas microporosity during aluminum alloy solidification process. Computational Materials Science 65, pages 383-394.
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Shyamprasad Karagadde, Anirban Bhattacharya, Gaurav Tomar & Pradip Dutta. (2012) A coupled VOF–IBM–enthalpy approach for modeling motion and growth of equiaxed dendrites in a solidifying melt. Journal of Computational Physics 231:10, pages 3987-4000.
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Qicheng Chen, Mo Yang, Yuwen Zhang & Ya-Ling He. (2011) Numerical Simulation of Melting in Porous Media via an Interfacial Tracking Model. Journal of Thermophysics and Heat Transfer 25:3, pages 401-407.
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Qicheng Chen, Mo Yang, Yuwen Zhang & Yaling He. (2011) Numerical Simulation of Melting in Porous Media via an Interfacial Tracking Model. Numerical Simulation of Melting in Porous Media via an Interfacial Tracking Model.
V.R. Voller. (2010) An exact solution of a limit case Stefan problem governed by a fractional diffusion equation. International Journal of Heat and Mass Transfer 53:23-24, pages 5622-5625.
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J. López, P. Gómez & J. Hernández. (2010) A volume of fluid approach for crystal growth simulation. Journal of Computational Physics 229:19, pages 6663-6672.
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Piyasak Damronglerd & Yuwen Zhang. (2010) Numerical Simulation of Melting in Porous Media via a Modified Temperature-Transforming Model. Journal of Thermophysics and Heat Transfer 24:2, pages 340-347.
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Vaughan R. Voller. (2010) Analytical models of solidification phenomena. Transactions of the Indian Institute of Metals 62:4-5, pages 279-283.
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V.R. Voller. (2008) An enthalpy method for modeling dendritic growth in a binary alloy. International Journal of Heat and Mass Transfer 51:3-4, pages 823-834.
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V.R. Voller. (2008) A numerical method for the Rubinstein binary-alloy problem in the presence of an under-cooled liquid. International Journal of Heat and Mass Transfer 51:3-4, pages 696-706.
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SUMAN CHAKRABORTY & DIPANKAR CHATTERJEE. (2007) An enthalpy-based hybrid lattice-Boltzmann method for modelling solid–liquid phase transition in the presence of convective transport. Journal of Fluid Mechanics 592, pages 155-175.
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