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Oscillatory channel flow in a rotating system

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Abstract

Oscillatory channel flow in a rotating system is considered. The Navier–Stokes equations reduce to the Ekman equations that are solved exactly. The results show the interaction between oscillation frequency and rotation rate. Resonance occurs when the oscillation frequency is twice the rotation rate.

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References

  1. Batchelor G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge (1967)

    MATH  Google Scholar 

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

    Article  Google Scholar 

  3. Vidyanidhi V., Nigam S.D.: Secondary flow in a rotating channel. J. Math. Phys. Sci. 1, 85–94 (1967)

    MATH  Google Scholar 

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

    Article  MATH  Google Scholar 

  5. Das B.K., Guria M., Jana R.N.: Unsteady Couette flow in a rotating system. Meccanica 43, 517–521 (2008)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI, 48824, USA

    C.Y. Wang

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  1. C.Y. Wang
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Correspondence to C.Y. Wang.

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Wang, C. Oscillatory channel flow in a rotating system. Arch Appl Mech 82, 853–858 (2012). https://doi.org/10.1007/s00419-011-0590-4

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  • DOI: https://doi.org/10.1007/s00419-011-0590-4

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