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

2009/10/02 by Sergey B. Kozitskiy, S. B. Kozitskiy, Kozitskiy, S. B.
Engineering · Mathematics · Physics and Astronomy · #Atmospheric and Oceanic Physics (physics.ao-ph) #Differential Equations and Numerical Methods #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Nonlinear Waves and Solitons #physics.ao-ph #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0910.0339

6 pages, 4 figures

arxiv created 2009/10/02 · openalex publication_date 2009/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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