Open-surface MHD flow over a curved wall in the 3-D thin-shear-layer approximation

Applied Mathematical Modelling

Volumn 29, Issue 3, 2005, Pages 215-234

  Smolentsev, Sergey ^a   Abdou, M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Free surface; Magnetohydrodynamics; Thin shear layer approximation

Indexed keywords

BOUNDARY LAYERS; CENTRIFUGATION; ELECTRIC CURRENTS; MAGNETIC FIELD EFFECTS; MAGNETOHYDRODYNAMICS;

LORENTZ FORCE; MAGNETIC PROPULSION; PRESSURE GRADIENT;

SHEAR FLOW;

FLOW MODELING; MAGNETIC FIELD; MAGNETOHYDRODYNAMICS; SHEAR LAYER;

EID: 11444265205     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2004.07.002     Document Type: Article

References (34)

1. M.A. Abdou The APEX TEAM On the exploration of innovative concepts for fusion chamber technology Fusion Eng. Des. 54 2001 181-247
2. T. Aitov A. Ivanov A. Tananaev Flow of a liquid metal in a chute in a coplanar magnetic field Magnetohydrodynamics 23 1987 91-95
3. F.G. Blottner Variable grid scheme applied to turbulent boundary layers Comput. Meth. Appl. Mech. Eng. 4 1974 179-194
4. H. Branover Magnetohydrodynamic Flows in Ducts 1978 Wiley New York
5. T. Cebeci Problems and opportunities with three-dimensional boundary layers in: Three Dimensional Boundary Layers, AGARD Report No. 719, 1985, pp. 6-1-6-35
6. T. Cebeci J. Cousteix Modeling and Computation of Boundary-layer Flows 1999 Horizons Publishing Inc. Long Beach, CA
7. I. Evtushenko S. Smolentsev A. Tananaev Hydrodynamics and exchange of heat in thin liquid-metal layers within a magnetic field Magnetohydrodynamics 27 1991 287-291
8. L. Howarth The boundary layer in three-dimensional flow. Part I: derivation of the equations for flow along a general curved surface Philos. Mag. 42 7 1951 239-243
9. E. Kreyszig Differential Geometry 1991 Dover Publications New York
10. V. Kudrin S. Smolentsev A. Tananaev Fully developed flow of a liquid metal thin film in an inclined magnetic field Magnetohydrodynamics 29 1993 66-70
11. L. Leboucher Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number J. Comp. Phys. 150 1999 181-198
12. A.F. Lehman G.R. Tallbäck H.R. Hackl, Fluid flow control in continuous casting using various configurations of static magnetic fields in: Proceedings of International Symposium on Electromagnetic Processing of Materials, Nagoya, Japan, 25-28 October 1994, pp. 372-377
13. T. Levi-Civita Allgemeine Folgerungen aus der Prandtlschen Grenzschichttheorie in: A. Gilles L. Hopf Th. van Karman (Eds.) Vorträge aus dem Gebiete der Aerodynamik und verwandtewr Gebiete, Aachen 1929 Springler Berlin 30-50
14. L.G. Loitsianskii Laminar Boundary Layer (in Russian) 1962 Nauka Moscow
15. C.B. Millikan The boundary layer and skin friction for a figure of revolution Trans. Am. Soc. Mech. Eng. (Appl. Mech. Sect.) 54 1932 29-43
16. F.K. Moore (Ed.) Theory of Laminar Flows 1964 Princeton University Press Princeton, NJ
17. R. Moreau Magnetohydrodynamics 1990 Kluwer Dordrecht
18. N. Morley P. Roberts Solutions of uniform, open-channel, liquid metal flow in a strong, oblique magnetic field Phys. Fluids 8 1996 923-935
19. B.D. Nichols C.W. Hirt Calculating three-dimensional free surface flows in the vicinity of submerged and exposed structures J. Comp. Phys. 12 1973 234-246
20. D.W. Peaceman H.H. Rachford The numerical solution of parabolic and elliptic differential equations J. Soc. Ind. Appl. Math. 3 1955 28-41
21. L. Prandtl, Über Flüssigkeitsbewegung bei sehr kleiner Reibung, Verh. III in: Intern. Mathem. Kongress, Heidelberg, 1904 pp. 484-491
22. L. Rosenhead (Ed.) Laminar Boundary Layers 1963 Oxford University Press Oxford
23. H. Schlichting Boundary Layer Theory fourth ed. 1960 McGraw-Hill Book Company Inc. New York
24. A.Ya. Shishko A theoretical investigation of steady-state film flows in a coplanar magnetic field Magnetohydrodynamics 28 1992 170-182
25. S. Smolentsev A. Tananaev Development of computer code for analysis of heat transfer in liquid metal MHD flows in ducts Magnetohydrodynamics 31 1995 414-419
26. S. Smolentsev Averaged model in MHD duct flow calculations Magnetohydrodynamics 33 1997 42-47
27. S. Smolentsev Mathematical models for magnetohydrodynamic flows in a fusion reactor blanket Plasma Dev. Oper. 7 1999 231-241
28. S. Smolentsev M. Abdou N. Morley A. Ying T. Kunugi Application of the "K-ε" model to open channel flows in a magnetic field Int. J. Eng. Sci. 40 2002 693-711
29. A. Sterl Numerical simulation of liquid-metal MHD flows in rectangular ducts J. Fluid Mech. 216 1990 161-191
30. J.C. Tannehill D.A. Anderson R.H. Pletcher Computational Fluid Mechanics and Heat Transfer 1997 Taylor & Francis London
31. C.E. Weatherburn Differential Geometry of Three Dimensions vol. I 1927 Cambridge University Press Cambridge
32. C.E. Weatherburn Advanced Vector Analysis 1944 Bell London
33. A. Ying M. Abdou S. Smolentsev H. Huang R. Kaita R. Maingi N. Morley B. Nelson T. Sketchley M. Ulrickson R. Woolley MHD and heat transfer issues and characteristics for Li free surface flows under NSTX conditions Fusion Technol. 39 2001 739-745
34. L. Zakharov et al. Magnetic propulsion of conducting fluid and the theory of controlled tokomak fusion reactor, Meeting on Liquid Lithium, Controlled Tokamak Fusion Reactors and MHD, Int. Sherwood Fusion/Plasma Conf., Atlanta, GA, March 21, 1999