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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 27, 1995 - Issue 4
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Original Articles

NUMERICAL SOLUTION OF PLANE-FRONT SOLIDIFICATION WITH KINETIC UNDERCOOLING

M. Fabbri Department of Civil Engineering, University of Minnesota, Minneapolis, Minnesota, 55455, USA
&
V. R. Votter Department of Civil Engineering, University of Minnesota, Minneapolis, Minnesota, 55455, USA
Pages 467-486 | Received 04 Jan 1994, Accepted 12 Nov 1994, Published online: 15 Mar 2007

Citations (13)

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Read on this site (4)

K. R. Sultana, S. R. Dehghani, K. Pope & Y. S. Muzychka. (2018) Numerical techniques for solving solidification and melting phase change problems. Numerical Heat Transfer, Part B: Fundamentals 73:3, pages 129-145.
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M. Liang & V.R. Voller. (2011) Fixed and Deforming Grid Solutions of Solidification in an Undercooled Melt: A Benchmark Problem. Numerical Heat Transfer, Part B: Fundamentals 60:1, pages 1-17.
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Dipankar Chatterjee. (2010) Lattice Boltzmann Simulation of Incompressible Transport Phenomena in Macroscopic Solidification Processes. Numerical Heat Transfer, Part B: Fundamentals 58:1, pages 55-72.
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M GIANGI & F STELLA. (1999) Analysis of Natural Convection During Solidification of a Pure Metal. International Journal of Computational Fluid Dynamics 11:3-4, pages 341-349.
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Articles from other publishers (9)

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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S.H. Liu, C.C. Chen & C.W. Lan. (2013) Phase field modeling of crystal growth with nonlinear kinetics. Journal of Crystal Growth 362, pages 106-110.
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Bing Gao, Satoshi Nakano, Hirofumi Harada, Yoshiji Miyamura, Takashi Sekiguchi & Koichi Kakimoto. (2012) Anisotropic Thermal Stress Simulation with Complex Crystal–Melt Interface Evolution for Seeded Growth of Monocrystalline Silicon. Crystal Growth & Design 12:11, pages 5708-5714.
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C.W. Lan, C.C. Liu & C.M. Hsu. (2002) An Adaptive Finite Volume Method for Incompressible Heat Flow Problems in Solidification. Journal of Computational Physics 178:2, pages 464-497.
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Chengcai Yao, G.-X. Wang & B. T. F. Chung. (2000) Nonequilibrium Planar Interface Model for Solidification of Semitransparent Radiating Materials. Journal of Thermophysics and Heat Transfer 14:3, pages 297-304.
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E.r.g Eckert, R.J Goldstein, W.e Ibele, S.V Patankar, T.W Simon, P.J Strykowski, K.K Tamma, T.H Kuehn, A Bar-Cohen, J.V.R Heberlein, J.H Davidson, J Bischof, F Kulacki & U Kortshagen. (1999) Heat transfer—a review of 1995 literature. International Journal of Heat and Mass Transfer 42:15, pages 2717-2797.
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J. F. McCarthy. (1998) One-Dimensional Phase Field Models With Adaptive Grids. Journal of Heat Transfer 120:4, pages 956-964.
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J. Adam Norris & David R. Kassoy. (1998) The effect of finite–rate heat release on the solidification of an undercooled pure liquid. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454:1977, pages 2347-2370.
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D. E. Lawrynowicz, B. Li & E. J. Lavernia. (1997) Particle penetration during spray forming and Co-injection of Ni3Al + B/Al2O3 intermetallic matrix composite. Metallurgical and Materials Transactions B 28:5, pages 877-897.
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