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Analytical study of Küppers-Lortz instability in a Newtonian-Boussinesq liquid with rigidisothermal boundaries

From the book Mathematical Fluid Mechanics

  • P. G. Siddheshwar and B. N. Shivakumar

Abstract

The paper deals with primary and secondary instabilities in Rayleigh- Benard-Taylor convection in the case of rigid-isothermal boundaries. The singleterm Galerkin approximation is used in obtaining estimates of the critical Rayleigh number and critical wave number for primary instability and critical Taylor number and critical angle between the intersecting rolls in the case of the Kuppers-Lortz secondary instability. Comparison is made between the results of rigid isothermal boundaries with those of free isothermal boundaries.

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