Abstract
The unsteady Couette flow between two infinite horizontal plates induced by the non-torsional oscillations of one of the plates in a rotating system under the boundary layer approximations is investigated. An exact solution of the governing equations has been obtained by using Laplace transform technique. It is shown that when the oscillating plate situated at an infinite distance from stationary plate then the problem reduces to the unsteady boundary layer problem in a rotating system with non-torsional oscillations of the free-stream velocity.
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References
Batchelor GK (1967) An introduction to fluid dynamics, 1st edn. Cambridge University Press, Cambridge
Ganapathy R (1994) A note on oscillatory Couette flow in a rotating system. Trans ASME J Appl Mech 61:208–209
Gupta AS (1972) Ekman layer on a porous plate. Phys Fluid 15:930–931
Jana RN, Dutta N (1977) Couette flow and heat transfer in a rotating system. Acta Mech 26:301–306
Mazumder BS (1991) An exact solution of oscillatory Couette flow in a rotating system. Trans ASME J Appl Mech 56:1104–1107
Pop I, Soundalgekar VM (1973) On hydromagnetic flow past an infinite porous wall. J Appl Math Mech 53:718–719
Puri P (1975) Fluctuating flow of a viscous fluid on a porous plate in a rotating medium. Acta Mech 21:153–158
Thornley C (1968) On Stokes and Rayleigh layer in rotating system. Q J Mech Appl Math 21:451
Vidyanidhi V, Nigam SD (1967) Secondary flow in a rotating channel. J Math Phys Sci 1:35–48
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Das, B.K., Guria, M. & Jana, R.N. Unsteady Couette flow in a rotating system. Meccanica 43, 517–521 (2008). https://doi.org/10.1007/s11012-008-9130-x
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DOI: https://doi.org/10.1007/s11012-008-9130-x