Abstract
An analytical solution is obtained for the flow due to solid-body rotations an oscillating porous disk and of a fluid at infinity. Neglecting the induced magnetic field, the effects of the transversely applied magnetic field on the flow are studied. Further, the flow confined between two disks is also discussed. It is found that an infinite number of solutions exist for the flow confined between two disks.
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References
Gilman PA, Benton ER. Influence of an axial magnetic field on the steady linear Ekman boundary layer.Phys Fluids, 1968, 11(11): 2397–2405
Benton ER, Loper ED. On the spin-up of an electrically conducting fluid.J Fluid Mech, 1969, 39, Part 3: 561–586
Chawala S. On hydromagnetic spin-up.J Fluid Mech, 1972, 53, Part 3, 545–555
Gupta AS. Ekman layer on a porous plate.Phys Fluids, 1972, 15(5): 930–931
Soundalgekar VM, Pop I. On hydromagnetic flow in a rotating fluid past an infinite porous wall.ZAMM, 1973, 53: 718–719
Murthy SN, Ram RKP. MHD Ekman layer on a poroun plate. IL Nuovo Cimento, 1975, 29B(2): 296
Debnath L. On unsteady magnetohydrodynamic boundary layers in a rotating flow.ZAMM, 1972, 52: 623–626
Debnath L. On Ekman and Hartmann boundary layers in a rotating fluid.Acta Mechanica, 1973, 18: 333–341
Turbatu S, Bühler K, Zierep J. New solutions of the II stokes problem for an oscillating flat plate.Acta Mechanica, 1998, 129: 25–30
Thornley C. On Stokes and Rayleigh layers in rotating system.Quart J Mech Appl Math, 1968, 21: 451–461
Erdogan ME. Flow due to eccentrically rotating a porous disk and fluid at infinity.ASME J Appl Mech, 1976, 43: 203
Kasiviswanathan SR, Rao AR. An unsteady flow due to eccentrically rotating porous disk and a fluid at infinity.Int J Eng Sci, 1987, 25(11/12): 1419–1425
Berker R. An exact solution of the Navier-Stokes equation-The vortex with curvilinear axis.Int J Eng Sci, 1982, 20(2): 217–230
Rao AR, Kasiviswanthan SR. On exact solutions of unsteady Navier-Stokes equations-The vortex with instantaneous curvilinear axis.Int J Eng Sci, 1987, 25(3): 337–349
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Asghar, S., Khan, M., Siddiqui, A.M. et al. Exact solutions for magnetohydrodynamic flow in a rotating fluid. Acta Mech Sinica 18, 244–251 (2002). https://doi.org/10.1007/BF02487952
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DOI: https://doi.org/10.1007/BF02487952