Laminar buoyant magnetohydrodynamic flow in vertical rectangular ducts

Physics of Fluids

Volumn 10, Issue 1, 1998, Pages 223-236

  Buhler L ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DUCTS; ELECTRIC RESISTANCE; JETS; MAGNETIC FIELDS; TEMPERATURE DISTRIBUTION;

FLOW RATE; HARTMANN LAYERS; INVISCID CORE; VERTICAL RECTANGULAR DUCTS;

LAMINAR FLOW;

BUOYANCY; DUCT; LAMINAR FLOW; MAGNETOHYDRODYNAMICS;

BUOYANCY; DUCT; LAMINAR FLOW; MAGNETOHYDRODYNAMICS; RECTANGULAR;

EID: 0031864420     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869562     Document Type: Article

References (18)

1. E. Blūms, Yu. Mikhailov, and R. Ozols, Heat and Mass Transfer in MHD Flows (World Scientific, Singapore, 1987).
2. M. Takashima, "The stability of natural convection in a vertical layer of electrically conducting fluid in the presence of a transverse magnetic field," Fluid Dyn. Res. 14, 121 (1994).
3. J. P. Garandet, T. Albousière, and R. Moreau, "Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field," Int. J. Heat Mass Transf. 35, 741 (1992).
4. T. Albousière, J. P. Garandet, and R. Moreau, "Buoyancy-driven convection with a uniform magnetic field. Part 1. Asymptotic analysis," J. Fluid Mech 253, 545 (1993)
5. H Ben Hadid, D. Henry, and S. Kaddeche, "Numerical study of convection in a horizontal Bndgeman configuration under the action of a constant magnetic field. Part 1. Two-dimensional flow," J Fluid Mech 333, 23 (1997).
6. L. N. Hjellming and J. S. Walker, "Melt motion in a Czochralski crystal puller with an axial magnetic field: Motion due to buoyancy and thermocapillanty," J. Fluid Mech. 182, 335 (1987).
7. L. N. Hjellming, P A. Tolley, and J. S. Walker, "Melt motion in a Czochralski crystal puller with a non-uniform axisymmetric magnetic field: Isothermal motion," J. Fluid Mech. 249, 1 (1993).
8. Y. Y. Khine and J. S. Walker, "Thermocapillary convection in a cylinder with a strong non-uniform axisymmetric magnetic field." J. Fluid Mech. 276, 369 (1994).
9. N. Ma and J. S. Walker, "Liquid-metal buoyant convection in a vertical cylinder with a strong vertical magnetic field and with nonaxisymmetric temperature," Phys. Fluids 7, 2061 (1995).
10. N. Ma and J. S. Walker, "Buoyant convection during the growth of compound semiconductors by the liquid-encapsulated Czochralski process with an axial magnetic field and with non-axisymmetric temperature," J. Fluids Eng. 118, 155 (1996).
11. N. Ma and J. S. Walker, "Magnetic damping of buoyant convection during semi-conductor crystal growth in microgravity. Continuous random g-jitters," Phys. Fluids 8, 944 (1996).
12. R. Mößner, "Dreidimensionale numerische Simulation von Naturkonvektions strömungen unter dem Einfluβ von Magnetfeldern," Technical Report No. FZKA 5748, Forschungszentrum Karlsruhe, 1996.
13. H. Ben Hadid and D. Henri, "Numerical study of convection in a horizontal Bridgeman configuration under the action of a constant magnetic field. Part 2. Three-dimensional flow," J. Fluid Mech. 333, 57 (1997).
14. T. Alboussière, J. P. Garandet, and R. Moreau, "Asymptotic analysis and symmetry in MHD convection," Phys. Fluids 8, 2215 (1996).
15. G. D. Mallinson and G. De Vahl Davis, "The method of the false transient for the solution of coupled elliptic equations," J. Comput. Phys. 12, 435 (1973).
16. A. Sterl, "Numerical simulation of liquid-metal MHD flows in rectangular ducts," J. Fluid Mech. 216, 161 (1990).
17. J. S. Walker, "Magnetohydrodynamic flows in rectangular ducts with thin conducting walls," J. Mech. 20, 79 (1981).
18. L. Bühler and S. Molokov, "Magnetohydrodynamic flows in ducts with insulating coatings," Magnetohydrodynamics 30, 439 (1994).