Study of convective non-newtonian alloy solidification in molds by the PSIMPLER/finite-volume method

Numerical Heat Transfer; Part A: Applications

Volumn 57, Issue 12, 2010, Pages 936-953

  Moraga, Nelson O ^a   Del C Ramirez, Sandy ^a   Godoy, Mauricio J ^b   Ticchione, Pier'Angelo D ^a  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

^b DEPARTAMENTO DE BIOLOGÍA   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

AL-SI ALLOY; ALLOY SOLIDIFICATION; CALCULATION TIME; COEFFICIENT VALUES; CONVECTION MODEL; GRAPHITE MOLD; LIQUID ALLOY; NEWTONIAN FLUIDS; NEWTONIANS; NON-NEWTONIAN; NON-NEWTONIAN MODELS; NUMERICAL STUDIES; PLASTIC BEHAVIOR; POWER LAW; PRESSURE-VELOCITY; RECTANGULAR CAVITY; SEQUENTIAL ALGORITHM; SIMPLE ALGORITHM; SOLIDIFICATION PROCESS; TRANSIENT CONVECTION; VOLUME METHOD;

ALGORITHMS; CONTACTS (FLUID MECHANICS); CRYSTALLIZATION; FLUID MECHANICS; HEAT CONVECTION; MOLDS; NON NEWTONIAN FLOW; SOLIDIFICATION;

SILICON ALLOYS;

EID: 77953627574     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407782.2010.490171     Document Type: Article

References (37)

1. W. Shyy and H. S. Udaykumar, Multi-Scale Modeling for Solidification Processing, in B. Sunden and G. Comini (eds.), Computational Analysis of Convection Heat Transfer, pp. 141-198, Wit Press, , Southampton, 2000.
2. X. Tong, C. Beckermann, A. Karma, and Q. Li, Phase-Field Simulations of Dendritic Crystal Growth in a Forced Flow, Phys. Rev. E, vol.63, p. 061601, 2001.
3. C. Beckermann and X. Tong, Microstructure Evolution Equiaxed Denditric Growth, Sci. and Tech. of Adv. Material, vol.2, pp. 117-126, 2001.
4. Q. Li and C. Beckermann, Modeling of Free Dendritic Growth of Succinonitrile-Acetone Alloys with Thermosolutal Melt Convection, J. Crystal Growth, vol.236, pp. 482-498, 2002.
5. Y. Lu, C. Beckermann, and A. Karma, Convection Effects in Three-Dimensional Dendritic Growth, Mat. Res. Soc. Symp. Proc., vol.701, pp. T2.2.1-T2.2.10, 2002.
6. W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma, Phase-Field Simulation of Solidification, Ann., Rev. Mater. Res., vol.32, pp. 163-194, 2002.
7. C. Beckermann and R. Viskanta, Natural Convection Solid=Liquid Phase Change in Porous Media, Int. J. Heat Mass Transfer, vol.31, pp. 35-46, 1988.
8. Ph. Thevoz, J. L. Desbiolles, and M. Rappaz, Modeling of Microstructure Formation in Casting, Metall. Trans. A, vol.20, pp. 311-321, 1989.
9. T. Lijian and N. Zabaras, Multiscale Modeling of Alloy Solidification using a Database Approach, J. Comp Phys., vol.227, pp. 728-754, 2007.
10. D. Celentano, A Finite Element Formulation for Phase-Change Problems with Advective Effects, Int. J. for Numer. Meth. in Eng., vol.14, pp. 719-730, 1998.
11. M. Cruchaga and D. Celentano, A Finite Element Thermally Coupled Flow Formulation for Phase-Change Problems, Int. J. for Numer. Meth. in Fluids, vol.34, pp. 279-305, 2000.
12. A. K. Singh, R. Pardeshi, and B. Basu, Modelling of Convection During Solidification of Metal and Alloys, Sadhana, vol.26, pp. 139-162, 2001.
13. B. H. Zhou, H. Jung, N. Mangelinck-Noël, H. Nguyen-Thi, B. Billia, Q. S. Liu, and C. W. Lan, Comparative Study of the Influence of Natural Convection on Directional Solidification of Al-3.5Wt% Ni and Al-7Wt% Si Alloys, Adv. in Space Res., vol.41, pp. 2112-2117, 2008.
14. S. V. Patankar and D. B. Spalding, A Calculation Procedure for Heat, Mass, and Momentum Transfer in Three Dimensional Parabolic Flows, Int. J. Heat Mass Transfer, vol.15, pp. 1787-1806, 1972.
15. S. V. Patankar, A Calculation Procedure for Two-Dimensional Elliptic Situations, Numer. Heat Transfer, Part A, vol.4, pp. 409-425, 1981.
16. J. P. Van Doormal and G. D. Raithby, Enhancement of Simple Method for Predicting Incompressible Fluid Flows, Numer. Heat Transfer, Part A, vol.7, pp. 147-163, 1984.
17. J. P. Van Doormal and G. D. Raithby, An Evaluation of The Segregated Approach for Predicting Incompressible Fluid Flow, ASME Paper 85-Ht-9, 1985.
18. R. I. Issa, Solution of Implicitly Discretized Fluid Flow Equation by Operator-Splitting, J. Comput. Phys., vol.62, pp. 40-65, 1986.
19. P. J. Oliviera and R. I. Issa, An Improved Piso Algorithm for the Computation of Bouyancy-Driven Flows, Numer. Heat Transfer B, vol.40, pp. 473-493, 2001.
20. B. R. Latimer and A. Pollard, Comparison of Pressure-Velocity Coupling Solution Algorithms, Numer. Heat Transfer, Part B, vol.8, pp. 635-652, 1985.
21. B. Yu. Ozoe and W. Q. Tao, A Modified Pressure-Correction Scheme for the SIMPLER Method, MSIMPLER, Numer. Heat Transfer B, vol.39, pp. 435-449, 2001.
22. W. Q. Tao, Z. G. Qu, and Y. L. He, A Novel Segregated Algorithm for Incompresible Fluid and Heat Transfer Problems-Clear (Coupled And Linked Equations Algorithm Revised), Part I: Mathematical Formulation And Solution Procedure, Numer. Heat Transfer B, vol.45, pp. 1-17, 2004.
23. S. D. Connell and P. Stow, The Pressure Correction Methods, Comput. Fluid, vol.11, pp. 1-10, 1986.
24. D. S. Jang, R. Jetti, and S. Achardys, Comparison of The Piso, Simpler and Simplec Algorithms for the Treatment of the Pressure-Velocity Coupling in Steady Flow Problems, Numer. Heat Transfer, Part A, vol.10, pp. 209-228, 1986.
25. A. U. Chatwani and A. Turan, Improved Pressure-Velocity Coupling Algorithm Based on Global Residual Norm, Numer. Heat Transfer B, vol.20, pp. 115-123, 1991.
26. L. S. Lee and R. Y. Tzong, Artificial Pressure for Pressure Linked Equation, Int. J. Heat Mass Transfer, vol.35, pp. 2705-2716, 1992.
27. X. Wen and D. B. Ingham, A New Method for Accelerating the Rate of Convergence of the Simple-Like Algorithm, Int. J. Numer. Meth. Fluids, vol.17, pp. 385-400, 1993.
28. R. H. Yen and C. H. Liu, Enhancemenmt of the Simple Algorithm by an Additional Explicit Corrector Step, Numer. Heat Transfer B, vol.24, pp. 127-141, 1993.
29. E. Blosch, W. Shyy, and R. Smith, The Role of Mass Conservation in Pressure-Based Algorithms, Numer. Heat Transfer B, vol.24, pp. 415-429, 1993.
30. T. Gjesdal and M. E. H. Lossius, Comparison of Pressure Correction Smoothers for Multigrid Solution of Incompressible Flow, Int. J. Numer. Meth. Fluids, vol.25, pp. 393-405, 1997.
31. C. Nonino and G. Comini, An Equal-Order Velocity-Pressure Algorithm for Incompressible Thermal Flows, Part 1: Formulation;, and Part 2: Validation, Numer. Heat Transfer B, vol.32, pp. 1-15 and pp. 17-35, 1997. (Pubitemid 127574579)
32. Y. Sheng, M. Shoukri, G. Sheng, and P. Wood, A Modification to the Simple Method for Buoyancy-Driven Flows, Numer. Heat Transfer B, vol.33, pp. 65-78, 1998.
33. F. Moukalled and M. Darwish, A Unified Formulation of the Segregated Class of Algorithm for Fluid Flow at All Speeds, Numer. Heat Transfer B, vol.37, pp. 103-139, 2000.
34. S. V. Patankar, Computation of Conduction and Duct Flow Heat Transfer, Innovative Research, Maple Grove, MN, USA, 1991.
35. T. Fusegi, J. M. Hyun, and K. B. Kuwahara, and A. Farouk, Numerical Study of Three-Dimensional Natural Convection in a Differentially Heated Cubical Enclosure, Int. J. of Heat and Mass Transfer, vol.34, pp. 1543-1557, 1991. (Pubitemid 21669788)
36. N. Moraga and S. Lopez, Numerical Simulation of Three-Dimensional Mixed Convection in an Air-Cooled Cavity, Numer. Heat Transfer A, vol.45, pp. 811-824, 2004.
37. D. Celentano, M. Cruchaga, N. Moraga, and J. Fuentes, Modelling Natural Convection with Solidification in Mould Cavities, Numer. Heat Transfer A, vol.39, pp. 631-654, 2001.