Spin-up from rest in a cylinder of an electrically conducting fluid in an axial magnetic field

Acta Mechanica

Volumn 186, Issue 1-4, 2006, Pages 203-220

  Lee, C H ^a,b   Tagawa, T ^a,c   Ozoe, H ^a,d   Hyun, J M ^a,e  

^a Korean Intellectual Property Office ^*

^b Korea Intellectual Property Office   (South Korea)

^c TOKYO METROPOLITAN UNIVERSITY   (Japan)

^d KYUSHU UNIVERSITY   (Japan)

^e Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; CURRENT DENSITY; MAGNETIC FIELD EFFECTS; MAGNETOELECTRIC EFFECTS; MAGNETOHYDRODYNAMICS; MATHEMATICAL MODELS;

ELECTRICALLY CONDUCTING FLUID; ELECTRO-MAGNETIC EQUATIONS; LORENTZ FORCE;

FLOW OF FLUIDS;

EID: 33749338398     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-006-0369-9     Document Type: Article

References (22)

1. Authié, G., Tagawa, T., Moreau, R.: Buoyant flow in long vertical enclosures in the presence of a strong horizontal magnetic field. Part 2. Finite enclosures. Eur. J. Mech.-B/Fluids 22, 203-220 (2003).
2. Choi, S., Kim, J. W., Hyun, J. M.: Transient free surface shape of an abruptly-rotated partially-filled cylinder. ASME J. Fluids Engng. 111, 439-442 (1989).
3. Choi, S., Kim, J. W., Hyun, J. M.: Experimental investigation of the flow with a free surface in an impulsively rotated cylinder. ASME J. Fluids Engng. 112, 245-249 (1991).
4. El-Mistakawy, T. M. A., Attia, H. A., Megahed, A. A.: Asymptotic solution for the flow due to an infinite rotating disk in the case of large magnetic field. Trans. CSME 24, 515-523 (2000).
5. Gelfgat, Y. M., Krumin, J., Abricka, M.: Rotating magnetic fields as a means to control the hydrodynamics and heat transfer in single crystal growth processes. Prog. Crystal Growth Charact. Mater. 38, 59-71 (1999).
6. Gelfgat, A. Y., Bar-Yoseph, P. Z., Solan, A.: Three-dimensional instability of axisymmetric flow in a rotating lid-cylinder enclosure. J. Fluid Mech. 438, 363-377 (2001).
7. Greenspan, H. P.: The theory of rotating fluids. Cambridge University Press 1968.
8. Greenspan, H. P.: A note on the spin-up from rest of a stratified fluid. Geophys. Astrophys. Fluid Dyn. 15, 1-5 (1980).
9. Hirsa, A. H., Lopez, J. M., Miraghaie, R.: Symmetry breaking to a rotating wave in a lid-driven cylinder with a free surface: experimental observation. Phys. Fluids 14, L29-L32 (2002).
10. Homicz, G. F., Gerber, N.: Numerical model for fluid spin-up from rest in a partially filled cylinder. ASME J. Fluids Engng. 109, 195-197 (1987).
11. Hyun, J. M., Leslie, F., Fowlis, W. W., Warn-Varnas, A.: Numerical solutions for spin-up from rest in a cylinder. J. Fluid Mech. 127, 263-281 (1983).
12. Hayase, T., Humphrey, J. A. C., Greif, R.: A consistently formulated QUICK, scheme for fast and stable convergence using finite-volume iterative calculation procedures. J. Comput. Phys. 98, 108-118 (1992).
13. Kim, J. S., Lee, T. Y.: Numerical study on the effect of operating parameters on point defects in a silicon crystal during Czochralski growth I. Rotation effect. J. Crystal Growth 219, 205-217 (2000).
14. Moreau, R.: Magnetohydrodynamics. Kluwer Academic Publishers 1990.
15. Patankar, S. V.: Numerical heat transfer and fluid flow. New York: McGraw-Hill 1980.
16. Tagawa, T., Authié, G., Moreau, R.: Buoyant flow in long vertical enclosures in the presence of a strong horizontal magnetic field, part 1. Fully-established flow. Eur. J. Mech.-B/Fluids 21, 383-398 (2002).
17. Tagawa, T., Ozoe, H.: The natural convection of liquid metal in a cubical enclosure with various electro-conductivities of the wall under the magnetic field. Int. J. Heat Mass Transf. 41, 1917-1928 (1998).
18. Watkins, W. B., Hussey. R. G.: Spin-up from rest: limitations of the Wedemeyer model. Phys. Fluids 16, 1530 (1973).
19. Watkins, W. B., Hussey. R. G.: Spin-up from rest in a cylinder. Phys. Fluids 20, 1596 (1977).
20. Wedemeyer, E. H.: The unsteady flow within a spinning cylinder. J. Fluid Mech. 20, 383-399 (1964).
21. Wetzel, T., Muiznieks, A., Muhlbauer, A., Gelfgat, Y., Gorbunov, L., Virbulis, J., Tomzig, E., Ammon, A. v.: Numerical model of turbulent CZ melt flow in the presence of AC and CUSP magnetic fields and its verification in a laboratory facility. J. Crystal Growth 230, 81-91 (2001).
22. Won, Y. C., Kakimoto, K., Ozoe, H.: Transient three-dimensional flow characteristics of Si melt in a Czochralski configuration under a cusp-shaped magnetic field. Num. Heat Transf. Part A 36, 551-561 (1999).