Double-diffusive Marangoni convection in a rectangular cavity: Transition to chaos

Yok Sheung Li, Zhi Wu Chen, Jie Min Zhan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

42 Citations (Scopus)

Abstract

Transition to chaos in double-diffusive Marangoni convection in a rectangular cavity with horizontal temperature and concentration gradients is considered. Attention is restricted to the special case when the resultant thermal and solutal Marangoni effects are equal and opposing. Direct numerical simulation is used and some techniques from nonlinear dynamics are adopted to identify the different dynamic regimes. It is found that the supercritical solution branch takes a quasi-periodicity and phase locking route to chaos while the subcritical branch follows the Ruelle-Takens-Newhouse scenario. Transient intermittency in the supercritical branch is observed and physical instability mechanisms of the subcritical branch are identified.
Original languageEnglish
Pages (from-to)5223-5231
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Volume53
Issue number23-24
DOIs
Publication statusPublished - 1 Nov 2010

Keywords

  • Double-diffusive convection
  • Instability
  • Marangoni effect
  • Strange attractor
  • Transition to chaos

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this