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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 20, 1991 - Issue 2
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Original Articles

GRAVITY- AND SOLIDIFICATION-SHRINKAGE-INDUCED LIQUID FLOW IN A HORIZONTALLY SOLIDIFIED ALLOY INGOT

Darning Xu Department of Metallic Materials and Technology, Harbin Institute of Technology, Harbin, 150006, People's Republic of China
&
Qingchun Li Department of Metallic Materials and Technology, Harbin Institute of Technology, Harbin, 150006, People's Republic of China
Pages 203-221 | Received 12 Jun 1990, Accepted 27 Nov 1990, Published online: 27 Apr 2007

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Tien-Mo Shih & MichaelM. Ohadi. (1993) LITERATURE SURVEY ON NUMERICAL HEAT TRANSFER (1990-1991). Numerical Heat Transfer, Part A: Applications 23:2, pages 129-169.
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Darning Xu & Qingchun Li. (1991) NUMERICAL METHOD FOR SOLUTION OF STRONGLY COUPLED BINARY ALLOY SOLIDIFICATION PROBLEMS. Numerical Heat Transfer, Part A: Applications 20:2, pages 181-201.
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Articles from other publishers (27)

Neda Ghodrati, Mounir Baiteche, Abdelhalim Loucif, Paloma Isabel Gallego, Morin Jean-Benoit & Mohammad Jahazi. (2022) Influence of Hot Top Height on Macrosegregation and Material Yield in a Large-Size Cast Steel Ingot Using Modeling and Experimental Validation. Metals 12:11, pages 1906.
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Jayanta Sutradhar, Rohit Kothari & Santosh Kumar Sahu. (2021) Solidification and melting model of phase change material with volumetric shrinkage/expansion void in an annulus. Applied Thermal Engineering 195, pages 117202.
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Aniket D. Monde, Oaj Chawla, Virkeshwar Kumar, Shyamprasad Karagadde & Prodyut R. Chakraborty. (2020) Shrinkage induced flow during directional solidification of pure substance in a bottom cooled cavity: A study on flow reversal phenomena. Physics of Fluids 32:4.
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Diwakar Janghel, Sandip K. Saha & Shyamprasad Karagadde. (2020) Effect of shrinkage void on thermal performance of pure and binary phase change materials based thermal energy storage system: A semi-analytical approach. Applied Thermal Engineering 167, pages 114706.
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Hongda Wang, Mohamed S. Hamed & Sumanth Shankar. (2018) Interaction between primary dendrite arm spacing and velocity of fluid flow during solidification of Al–Si binary alloys. Journal of Materials Science 53:13, pages 9771-9789.
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Aniket D. Monde & Prodyut R. Chakraborty. (2017) 1-D diffusion based solidification model with volumetric expansion and shrinkage effect: A semi-analytical approach. Physics Letters A 381:39, pages 3349-3354.
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Ye Wang, Shiping Wu, Xiang Xue, Ruirun Chen, Jianbing Zhang & Wenfeng Xiao. (2015) Experimental and numerical study on formation mechanism of linear macro-segregation in low-pressure die casting of Al–Cu–Mn–Ti Alloy. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 231:10, pages 1946-1955.
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Edward John Pickering. (2013) Macrosegregation in Steel Ingots: The Applicability of Modelling and Characterisation Techniques. ISIJ International 53:6, pages 935-949.
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Guangwei Zhao, XinZhong Li, Daming Xu, Jingjie Guo, Hengzhi Fu, Yong Du & Yuehui He. (2012) Numerical computations for temperature, fraction of solid phase and composition couplings in ternary alloy solidification with three different thermodynamic data-acquisition methods. Calphad 36, pages 155-162.
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Hongda Wang, Mohamed S. Hamed & Sumanth Shankar. (2011) Effect of Shrinkage on Primary Dendrite Arm Spacing during Binary Al-Si Alloy Solidification. Metallurgical and Materials Transactions A 42:8, pages 2331-2345.
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Yunfeng Bai, Daming Xu, Jingjie Guo & Hengzhi Fu. (2007) Computer Simulation of Solidification Transport Behaviours in Blade-Like Castings under Transverse Static Magnetic Fields up to 25T. steel research international 78:5, pages 391-397.
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Yunfeng Bai, Daming Xu, Weisheng Bi, Jingjie Guo & Hengzhi Fu. (2006) Numerical Simulation for the Transport Phenomena in Melting Processes of Blade-Like Castings Using a Continuum Model. Numerical Simulation for the Transport Phenomena in Melting Processes of Blade-Like Castings Using a Continuum Model.
Daming Xu & Jun Ni. (2006) A Numerical Approach of Direct-SIMPLE Deduced Pressure Equations to Simulations of Transport Phenomena During Shaped Casting. A Numerical Approach of Direct-SIMPLE Deduced Pressure Equations to Simulations of Transport Phenomena During Shaped Casting.
Deep Samanta & Nicholas Zabaras. (2005) Modelling convection in solidification processes using stabilized finite element techniques. International Journal for Numerical Methods in Engineering 64:13, pages 1769-1799.
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Deep Samanta & Nicholas Zabaras. (2005) Numerical study of macrosegregation in Aluminum alloys solidifying on uneven surfaces. International Journal of Heat and Mass Transfer 48:21-22, pages 4541-4556.
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Daming Xu, Yunfeng Bai, Hengzhi Fu & Jingjie Guo. (2005) Heat, mass and momentum transport behaviors in directionally solidifying blade-like castings in different electromagnetic fields described using a continuum model. International Journal of Heat and Mass Transfer 48:11, pages 2219-2232.
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Daming Xu, Yunfeng Bai, Jingjie Guo & Hengzhi Fu. (2004) Numerical simulation of heat, mass and momentum transport behaviours in directionally solidifying alloy castings under electromagnetic fields using an extended Direct‐SIMPLE scheme. International Journal for Numerical Methods in Fluids 46:7, pages 767-791.
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J C Heinrich & D R Poirier. (2004) The effect of volume change during directional solidification of binary alloys. Modelling and Simulation in Materials Science and Engineering 12:5, pages 881-899.
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Juan C. Heinrich & David R. Poirier. (2004) Convection modeling in directional solidification. Comptes Rendus Mécanique 332:5-6, pages 429-445.
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Daming Xu, Jingjie Guo, Hengzhi Fu & Weisheng Bi. (2003) Influences of dendrite morphologies and solid-back diffusion on macrosegregation in directionally solidified blade-like casting. Materials Science and Engineering: A 344:1-2, pages 64-73.
Crossref
P. Bousquet-Melou, B. Goyeau, M. Quintard, F. Fichot & D. Gobin. (2002) Average momentum equation for interdendritic flow in a solidifying columnar mushy zone. International Journal of Heat and Mass Transfer 45:17, pages 3651-3665.
Crossref
Daming Xu. (2002) A unified microscale parameter approach to solidification-transport process-based macrosegregation modeling for dendritic solidification: Part II. Numerical example computations. Metallurgical and Materials Transactions B 33:3, pages 451-463.
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J. C. Heinrich & E. McBride. (2000) Calculation of pressure in a mushy zone. International Journal for Numerical Methods in Engineering 47:1-3, pages 735-747.
Crossref
G F Naterer. (1997) Simultaneous pressure - velocity coupling in the two-phase zone for solidification shrinkage in an open cavity. Modelling and Simulation in Materials Science and Engineering 5:6, pages 595-613.
Crossref
Patrick J. Prescott & Frank P. Incropera. 1996. Transport Phenomena in Materials Processing. Transport Phenomena in Materials Processing 231 338 .
M.C. Schneider & C. Beckermann. (1995) A numerical study of the combined effects of microsegregation, mushy zone permeability and fllow, caused by volume contraction and thermosolutal convection, on macrosegregation and eutectic formation in binary alloy solidification. International Journal of Heat and Mass Transfer 38:18, pages 3455-3473.
Crossref
P.J. Prescott & F.P. Incropera. 1993. Advances in Transport Processes. Advances in Transport Processes 57 101 .

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