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Unsteady Couette flow in a rotating system

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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

  1. Batchelor GK (1967) An introduction to fluid dynamics, 1st edn. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  2. Ganapathy R (1994) A note on oscillatory Couette flow in a rotating system. Trans ASME J Appl Mech 61:208–209

    Article  MATH  Google Scholar 

  3. Gupta AS (1972) Ekman layer on a porous plate. Phys Fluid 15:930–931

    Article  MATH  ADS  Google Scholar 

  4. Jana RN, Dutta N (1977) Couette flow and heat transfer in a rotating system. Acta Mech 26:301–306

    Article  ADS  Google Scholar 

  5. Mazumder BS (1991) An exact solution of oscillatory Couette flow in a rotating system. Trans ASME J Appl Mech 56:1104–1107

    MathSciNet  Google Scholar 

  6. Pop I, Soundalgekar VM (1973) On hydromagnetic flow past an infinite porous wall. J Appl Math Mech 53:718–719

    Google Scholar 

  7. Puri P (1975) Fluctuating flow of a viscous fluid on a porous plate in a rotating medium. Acta Mech 21:153–158

    Article  MATH  ADS  Google Scholar 

  8. Thornley C (1968) On Stokes and Rayleigh layer in rotating system. Q J Mech Appl Math 21:451

    Article  MATH  Google Scholar 

  9. Vidyanidhi V, Nigam SD (1967) Secondary flow in a rotating channel. J Math Phys Sci 1:35–48

    Google Scholar 

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Correspondence to M. Guria.

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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

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