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

Yok Sheung Li; Zhi Wu Chen; Jie Min Zhan

doi:10.1016/j.ijheatmasstransfer.2010.07.037

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

Yok Sheung Li, Zhi Wu Chen, Jie Min Zhan

Research output: Journal article publication › Journal article › Academic research › peer-review

50 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 language	English
Pages (from-to)	5223-5231
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	53
Issue number	23-24
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2010.07.037
Publication status	Published - 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

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10.1016/j.ijheatmasstransfer.2010.07.037

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title = "Double-diffusive Marangoni convection in a rectangular cavity: Transition to chaos",

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.",

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AU - Chen, Zhi Wu

AU - Zhan, Jie Min

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N2 - 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.

AB - 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.

KW - Double-diffusive convection

KW - Instability

KW - Marangoni effect

KW - Strange attractor

KW - Transition to chaos

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JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 23-24

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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