SPIRAL-PATTERN FORMATION IN RAYLEIGH-BENARD CONVECTION

Citation
Hw. Xi et al., SPIRAL-PATTERN FORMATION IN RAYLEIGH-BENARD CONVECTION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 2987-2990
Citations number
26
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
47
Issue
5
Year of publication
1993
Pages
2987 - 2990
Database
ISI
SICI code
1063-651X(1993)47:5<2987:SFIRC>2.0.ZU;2-E
Abstract
We present a numerical study of the spontaneous formation of spiral pa tterns in Rayleigh-Benard convection in non-Boussinesq fluids. We solv e a generalized two-dimensional Swift-Hohenberg equation that includes a quadratic nonlinearity and coupling to mean flow. We show that this model predicts in quantitative detail many of the features observed e xperimentally in studies of Rayleigh-Benard convection in CO2 gas. In particular, we study the appearance and stability of a rotating spiral state obtained during the transition from an ordered hexagonal state to a roll state.