Pattern formation in a rotating fluid: Küppers-Lortz instability

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

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 741-754

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:741-754

DOI: 10.1016/0378-4371(94)90457-X

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