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Pattern formation in a rotating fluid: Küppers-Lortz instability

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  • Xi, Hao-wen
  • Gunton, J.D.
  • Markish, Gregory A.

Abstract

We propose a model similar to a generalized Swift-Hohenberg equation that includes coupling to mean flow field to describe the Küpper-Lortz instability. The derivation assumes free-free boundary conditions at the top and the bottom. We present a numerical solution of this dynamical model near onset, which yields results that are in good agreement with recent experimental observations. In particular, we observe the reorientation of rolls for frequencies less than a critical frequency, as well as the disordered pattern comprised of several different roll orientations for frequencies greater than the critical frequency.

Suggested Citation

  • Xi, Hao-wen & Gunton, J.D. & Markish, Gregory A., 1994. "Pattern formation in a rotating fluid: Küppers-Lortz instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 741-754.
  • Handle: RePEc:eee:phsmap:v:204:y:1994:i:1:p:741-754
    DOI: 10.1016/0378-4371(94)90457-X
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    Cited by:

    1. Kanchana, C. & Zhao, Yi & Siddheshwar, P.G., 2020. "Küppers–Lortz instability in rotating Rayleigh–Bénard convection bounded by rigid/free isothermal boundaries," Applied Mathematics and Computation, Elsevier, vol. 385(C).

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