Amplitude equations for 3D double-diffusive convection interacted with a horizontal vortex

S. B. Kozitskiy

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arXiv · 0910.0339

Amplitude equations for 3D double-diffusive convection interacted with a horizontal vortex

S. B. Kozitskiy

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Abstract

Three dimensional roll-type double-diffusive convection in a horizontally infinite layer of an uncompressible liquid is considered in the neighborhood of Hopf bifurcation points. A system of amplitude equations for the variations of convective rolls amplitude is derived by multiple-scaled method. An attention is paid to an interaction of convection and horizontal vortex. Different cases of the derived equations are discussed.

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S. B. Kozitskiy. 2009-10-02. Amplitude equations for 3D double-diffusive convection interacted with a horizontal vortex. https://arxiv.org/abs/0910.0339

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