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

TL;DR

This paper derives amplitude equations for 3D double-diffusive convection interacting with horizontal vortices near Hopf bifurcation points, providing insights into complex fluid flow behaviors.

Contribution

It introduces a novel set of amplitude equations capturing the interaction between convection and horizontal vortices in 3D double-diffusive systems.

Findings

Derived amplitude equations for convection-vortex interaction

Analyzed different cases of the equations

Provided insights into bifurcation behavior

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.