Discretization of Lorentz force term

Numerical Heat Transfer, Part B: Fundamentals

Volumn 49, Issue 6, 2006, Pages 599-615

  Cho, Myung Jong ^a  

^a POSCO   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; ERROR ANALYSIS; FLOW OF FLUIDS; MAGNETIC FIELDS; NUMERICAL METHODS;

DISCRETIZATION; LAMINAR CHANNEL FLOW; LORENTZ FORCE TERM; MAGNETOHYDRODYNAMIC (MHD) FLOW;

MAGNETOHYDRODYNAMICS;

EID: 33646789819     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407790500511039     Document Type: Article

References (20)

1. F. C. Won, K. Kakimoto, and H. Ozoe, Transient Three-Dimensional Flow Characteristics of Si Melt in a Czochralski Configuration under a Cusp-Shaped Magnetic Field, Numer. Heat Transfer A, vol. 36, pp. 551-561, 1999.
2. L. Liu, S. Nakano, and K. Kakimoto, An Analysis of Temperature Distribution near the Melt Crystal Interface in Silicon Czochralski Growth with a Transverse Magnetic Field, J. Crystal Growth, vol. 282, pp. 49-59, 2005.
3. A. Krauze, A. Muiznieks, A. Muhlbauer, Th. Wetzel, and W. v. Ammon, Numerical 3D Modeling of Turbulent Melt Flow in Large CZ System with Horizontal DC Magnetic Field - I: Flow Structure Analysis, J. Crystal Growth, vol. 262, pp. 157-167, 2004.
4. D. Vizman, S. Eichler, J. Friedrich, and G. Muller, Three-Dimensional Modeling of Melt Flow and Interface Shape in the Industrial Liquid-Encapsulated Czochralski Growth of GaAs, J. Crystal Growth, vol. 266, pp. 396-403, 2004.
5. K. Kakimoto, Oxygen Distribution in Silicon Melt under Inhomogeneous Transverse Magnetic Fields, J. Crystal Growth, vol. 230, pp. 100-107, 2001.
6. M. Akamatsu, M. Higano, and H. Ozoe, Convection Mode and Electrical Field in Silicon Melts under Vertical, Horizontal, and Rotating Magnetic Fields, Numer. Heat Transfer A, vol. 42, pp. 33-54, 2002.
7. Di. Piazza and M. Ciofalo, MHD Free Convection in a Liquid-Metal Filled Cubic Enclosure - I: Differential Heating, Int. J. Heat Mass Transfer, vol. 45, pp. 1477-1492, 2002.
8. T. Tagawa, G. Authie, and R. Moreau, Buoyant Flow in Long Vertical Enclosures in the Presence of a Strong Horizontal Magnetic Field - I: Fully-Established Flow, Eur. J. Meek B/Fluids, vol. 21, pp. 383-398, 2002.
9. G. Authie, T. Tagawa, and R. Moreau, Buoyant Flow in Long Vertical Enclosures in the Presence of a Strong Horizontal Magnetic Field-II: Finite Enclosures, Eur. J. Mech. B/Fluids, vol. 22, pp. 203-220, 2003.
10. H. Ozoe and K. Okada, The Effect of the Direction of the External Magnetic Field on the Three Dimensional Natural Convection in a Cubic Enclosure, Int. J. Heat Mass Transfer, vol. 32, pp. 1939-1954, 1989.
11. U.R. Hunt and G. Wilks, Low Prandtl Number Magneto-hydrodynamic Natural Convection in a Strong Cross Field, Numer. Heat Transfer, vol. 4, pp. 303-316, 1981.
12. K. G. Kang, H. S. Ryou, and N. K. Hur, Coupled Turbulent Flow, Heat, and Solute Transport in Continuous Casting Processes with an Electromagnetic Brake, Numer. Heat Transfer A, vol. 48, pp. 461-481, 2005.
13. M. Y. Ha, H. G. Lee, and S. H. Seong, Numerical Simulation of Three Dimensional Flow, Heat Transfer and Solidification of Steel in Continous Casting Mold with Electromagnetic Brake, J. Mater. Process Technol., vol. 133, pp. 322-339, 2003.
14. M. J. Cho, S. J. Kim, I. C. Kim, J. K. Kim, D. W. Cha, J. S. Kim, and J. H. Park, Development of New EMBR for Reducing the Inclusions in the Fully Curved Type Continuous Casting Machine, Proc. 3rd Int. Symp. on EPM (EPM2000), Nagoya, Japan, 2000, pp. 176-181
15. Y. S. Hwang, P. R. Cha, H. S. Nam, K. H. Moon, and J. K. Yoon, Numerical Analysis of the Influences of Operational Parameters on the Fluid Flow and Meniscus Shape in Slab Caster with EMBR, ISIJ Int., vol. 37, no. 7, pp. 659-667, 1999.
16. S. G. Kollberg, H. R. Hackl, and P. J. Hanley, Improving Quality of Flat Rolled Products Using Electromagnetic Barke (EMBr) in Continuous Casting, Iron Steel Eng., vol. 73, pp. 24-28, 1996.
17. J. Zhu, A Low-Diffusive and Oscillation-Free Convection Scheme, Commun. Appl. Numer. Meth., vol. 7, pp. 225-232, 1991.
18. S. Majumdar, Role of Under Relaxation in Momentum Interpolation for Calculation of Flow with Non-staggered Grids, Numer. Heat Transfer, vol. 13, pp. 125-132, 1988.
19. J. P. van Doormal and G. D. Raithby, Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows, Numer. Heat Transfer, vol. 7, pp. 147-163, 1984.
20. D. S. Jang, R. Jetli, and S. Acharya, Comparison of the PISO, SIMPLER, and SIMPLEC Algorithms for the Treatment of the Pressure-Velocity Coupling in Steady Flow Problems, Numer. Heat Transfer, vol. 10, pp. 209-228, 1986.