Multiplicity of chaotic and turbulent regimes in Rayleigh-B\'{e}nard convection

TL;DR

This paper investigates various chaotic and turbulent regimes in Rayleigh-Bénard convection, analyzing how they transition with changing Rayleigh number and flow location, supported by experiments and simulations.

Contribution

It introduces a classification of regimes using the distributed chaos approach and highlights the role of invariants in regime formation and transitions.

Findings

Regimes depend on Rayleigh number and flow location.

Inertial-buoyancy and helicity invariants influence regime formation.

Transition from classical to ultimate state discussed.

Abstract

Multiple chaotic and turbulent regimes in Rayleigh-B\'{e}nard convection have been studied and classified from the onset of deterministic chaos to the fully developed turbulence using the distributed chaos approach supported by results of laboratory experiments and numerical simulations. It is shown that the regimes can replace each other depending on value of the Rayleigh number and location in the convection cell (in the bulk of the flow or in the boundary layers). The inertial-buoyancy and helicity based invariants play crucial role in the formation of the regimes. Transition from the classical to ultimate state has been also discussed in this context.