Thermovibrational instability of Rayleigh–Marangoni–Benard convection in two-layer fluid systems

Liu, Q.S.; Zhou, Jin-Jian; Wang, A.; Polezhaev, V. I.; Fedyushkin, A. I.; Zhou, Bo-jun; Henri, Nguyen Thi; Bernard, B.

doi:10.1016/j.asr.2007.09.016

Cited by 4 publications

(1 citation statement)

References 16 publications

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“…The effects of vibration on the onset of convection in a two-layer system has been investigated in the framework of averaging method by some authors. [9][10][11] The physics of the Rayleigh-Marangoni instability has been extensively investigated. However, to our knowledge, investigations devoted to the influence of vibration on the oscillatory gap of the depth ratio are very limited.…”

Section: Introductionmentioning

confidence: 99%

Influence of high-frequency vibration on the Rayleigh–Marangoni instability in a two-layer system

Liu

2011

Physics of Fluids

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The influences of high-frequency vibrations on the Rayleigh–Marangoni instability in a two-layer system are investigated theoretically in the framework of the averaging method. We focus on the effects of vertical and horizontal vibrations on the stability of different convection modes. The results show that vertical vibrations significantly stabilize the system, while horizontal vibrations significantly destabilize it. In the presence of vertical vibrations, instability only occurs in a system heated from below. However, in the presence of horizontal vibrations, instability can also occur in a system cooled from below. When Marangoni effect is dominant at the interface, it is found that there are four types of coupling modes. The oscillatory convection is the result of the competition between different modes. In the presence of Marangoni effect at the interface, the structure of the interfacial flow is complicated. In some cases, small counter-rolls may develop to preserve the nonslip condition of fluids in either the upper layer or the lower layer.

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Section: Introductionmentioning

confidence: 99%

Influence of high-frequency vibration on the Rayleigh–Marangoni instability in a two-layer system

Liu

2011

Physics of Fluids

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Systematic non-dimensional parametric investigation for the thermo-fluid dynamics of two-layered fluid systems

Ludovisi

Soyoung

Ramachandran

et al. 2013

International Journal of Heat and Mass Transfer

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Effect of pool rotation on three-dimensional flow in a shallow annular pool of silicon melt with bidirectional temperature gradients

Zhang¹,

Peng²,

Wang³

et al. 2016

Fluid Dyn. Res.

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In order to understand the effect of pool rotation on silicon melt flow with the bidirectional temperature gradients, we conducted a series of unsteady threedimensional (3D) numerical simulations in a shallow annular pool. The bidirectional temperature gradients are produced by the temperature difference between outer and inner walls as well as a constant heat flux at the bottom. Results show that when Marangoni number is small, a 3D steady flow is common without pool rotation. But it bifurcates to a 3D oscillatory flow at a low rotation Reynolds number. Subsequently, the flow becomes steady and axisymmetric at a high rotation Reynolds number. When the Marangoni number is large, pool rotation can effectively suppress the temperature fluctuation on the free surface, meanwhile, it improves the flow stability. The critical heat flux density diagrams are mapped, and the effects of radial and vertical temperature gradients on the flow are discussed. Additionally, the transition process from the flow dominated by the radial temperature gradient to the one dominated by the vertical temperature gradient is presented.

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Thermovibrational instability of Rayleigh–Marangoni–Benard convection in two-layer fluid systems

Cited by 4 publications

References 16 publications

Influence of high-frequency vibration on the Rayleigh–Marangoni instability in a two-layer system

Influence of high-frequency vibration on the Rayleigh–Marangoni instability in a two-layer system

Systematic non-dimensional parametric investigation for the thermo-fluid dynamics of two-layered fluid systems

Effect of pool rotation on three-dimensional flow in a shallow annular pool of silicon melt with bidirectional temperature gradients

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