Unsteady MHD rotating flow over a rotating sphere near the equator

Acta Mechanica

Volumn 164, Issue 1-2, 2003, Pages 31-46

  Chamkha, A J ^a   Takhar, H S ^b   Nath, G ^c  

^a KUWAIT UNIVERSITY   (Kuwait)

^b MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER FLOW; FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; MAGNETIC FIELDS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; SHEAR STRESS; SPHERES; UNSTEADY FLOW; VISCOUS FLOW;

ROTATING FLOW; ROTATIONAL VELOCITY;

FLUID DYNAMICS;

EID: 0141614151     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-0011-z     Document Type: Article

References (32)

1. Hide, R., Roberts, P. H.: The origin of the mean geomagnetic field. In: Physics and chemistry of the earth, vol. 4, pp. 27-98. New York: Pergamon Press 1961.
2. Dieke, R. H.: Internal rotation of the sun. In Annual review of astronomy and astrophysics (Goldberg, L., ed.), vol. 88, pp. 297-328. Annual Review 1970.
3. Banks, W. H. H.: A fixed sphere on the axis of an unbounded rotating fluid (R ≫ 1). Acta Mech. 11, 27-44 (1971).
4. Singh, S. N. Flow about a stationary sphere in a slowly rotating viscous fluid. J. Appl. Mech. 41, 564-570 (1974).
5. Rogers, M. H., Lance, G. N.: The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk. J. Fluid Mech. 7, 617-631 (1960).
6. Evans, D. J.: The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk. Quart. J. Mech. Appl. Math. 22, 467-485 (1969).
7. Ockendon, H.: An asymptotic solution for steady flow above an infinite rotating disk with suction. Quart. J. Mech. Appl. Math. 25, 291-301 (1972).
8. Badonyi, R. J. On the rotationally symmetric flow above an infinite disk. J. Fluid Mech. 67, 657-666 (1975).
9. Dijkstra, D., Zandbergen, P. J.: Non-unique solutions of the Navier-Stokes equations for the Karman swirling flow. J. Engng Math. 11, 167-188 (1977).
10. Dijkstra, D., Zandbergen, P. J.: Some further investigations of non-unique solutions of the Navier-Stokes equations for the Karman swirling flow. Arch. Mech. 30, 411-419 (1979).
11. Hastings, S. P.: The existence theorem for some problems from boundary layer theory. Arch. Rat. Mech. Anal. 38, 308-316 (1970).
12. McLeod, J. B.: The asymptotic form of solutions of von Karman's swirling flow problems. Quart. J. Math. 20, 483-496 (1969).
13. McLeod, J. B.: A note on rotationally symmetric flow above an infinite rotating disk. Mathematica 17, 243-249 (1970).
14. McLeod, J. B.: The existence of axially symmetric flow above a rotating disk. Proc. Roy. Soc. A 324, 391-414 (1971).
15. Bushell, P. J.: On von Karman's equations of swirling flow. J. London Math. Soc. 4, 701-710 (1972).
16. Hartman, P.: On the swirling flow problem. Indiana Univ. Math. J. 21, 849-855 (1972).
17. Stewartson, K.: On rotating laminar boundary layers. In: Boundary layer research, pp. 59-71. Göttingen Heidelberg: Springer 1957.
18. Banks, W. H.: The boundary layer on a rotating sphere. Quart. J. Mech. Appl. Math. 18, 443-454 (1965).
19. Banks, W. H.: The laminar boundary layer on a rotating sphere. Acta Mech. 24, 273-287 (1976).
20. Singh, S. N.: Laminar boundary layer on a rotating sphere. Phys. Fluids 13, 2452-2424 (1970).
21. Dennis, S. C. R., Singh, S. N., Ingham, D. B.: The steady flow due to a rotating sphere at low and moderate Reynolds number. J. Fluid Mech. 101, 257-279 (1980).
22. Ingham, D. B.: Non-unique solutions of the boundary layer equations for the flow near the equator of a rotating sphere in a rotating fluid. Acta Mech. 42, 111-122 (1982).
23. Porter, S. V., Rajagopal, K. R.: Swirling flow between rotating plates. Arch. Rat. Mech. Anal. 36, 305-315 (1984).
24. Lai, C. Y., Rajagopal, K. R., Szeri, S. Z.: Asymmetric flow between parallel rotating disks. J. Fluid Mech. 116, 203-225 (1984).
25. Lai, C. Y., Rajagopal, K. R., Szeri, S. Z.: Asymmetric flow above a rotating disk. J. Fluid Mech. 157, 471-492 (1985).
26. Thacker, W. T., Watson, L. T., Kumar, S. K.: Magnetohydrodynamic free convection from a disk rotating in a vertical plane. Appl. Math. Modelling 14, 527-535 (1990).
27. Slaouti, A., Takhar, H. S., Nath, G.: Spin-up and spin-down of a viscous fluid over a heated disk rotating in a vertical plane in the presence of a magnetic field and a bouyancy force. Acta Mech. 156, 109-129 (2002).
28. Van de Vooren, A. I., Botta, E. F. F.: Flow induced by a rotating disk of finite radius. J. Engng. Math. 24, 55-71 (1990).
29. Van de Vooren, A. I., Botta, E. F. F.: The torque required for a steady rotation of disk in a quiescent fluid. J. Engng. Math. 24, 261-286 (1990).
30. Tarek, M. A., El Mishkawy, Azem, A. A., Adel, A. M.: Asymptotic solution for the flow due to an infinite rotating disk in the case of small magnetic field. Mech. Res. Comm. 25, 271-278 (1998).
31. Eringen, A. C., Maugin, S. A.: Electrodynamics in continua, vol. 2. Berlin: Springer 1990.
32. Blottner, F. G.: Finite-difference methods of solution of the boundary-layer equations. AIAA. J. 8, 193-205 (1970).