Natural and thermocapillary convection in multiple liquid layers

Prakash, Aviral; Koster, Jean N.; Hill, Myron E.

doi:10.2514/6.1993-469

Cited by 9 publications

(11 citation statements)

References 4 publications

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“…Simultaneous interaction of interfaces with their bulk phases and with each other was studied for heating from below and from above, [18][19][20] as well as in the case of the horizontal temperature gradients. 21,22 The combined action of both instability mechanisms leads to much more complex dynamics and different unexpected effects.…”

Section: Introductionmentioning

confidence: 99%

Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

2005

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The joint action of buoyancy and thermocapillary effect on the convection in a multilayer system is investigated. It is found that the competition between buoyancy and thermocapillarity may lead to the appearance of a specific type of oscillations. Predictions of the linear stability theory are justified by nonlinear simulations. The nonlinear development of the oscillatory instability is studied.

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Section: Introductionmentioning

confidence: 99%

Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

2005

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“…There are many applications involving Marangoni flows. 12,13 One specific application is to process crystals. [14][15][16] For a review of surface tension driven flows, often referred to as Marangoni flows or instabilities, see Refs.…”

Section: Introductionmentioning

confidence: 99%

“…12,[18][19][20][21][22][23][24] Prakash and Koster analyzed the effect of the height and viscosity ratios for a system of three immiscible liquids with non-deformable interfaces heated from the side by including buoyancy effects. 12 Géoris et al studied the Marangoni convection of a three-layer system with non-deformable interfaces in the absence of gravity. 19 Géoris et al considered a middle liquid layer sandwiched by two equivalent fluids.…”

Section: Introductionmentioning

confidence: 99%

The impact of deformable interfaces and Poiseuille flow on the thermocapillary instability of three immiscible phases confined in a channel

Alvarez

Uguz

2013

Physics of Fluids

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The majority of studies considering thermocapillary convection in multilayer systems assume the interface is rigid (non-deformable) and the fluids are stationary. Motivated by the potential of using thermally generated convection patterns in moving droplets for mixing, this paper re-examines the Marangoni-Bénard instability for a three-layer system with deformable interfaces undergoing Poiseuille flow. Taking into account the deformability of the interface reveals new physics. Linear stability analysis shows that at small wave numbers a deformable interface is of the orders of magnitude less stable than a non-deformable interface. At large wave numbers, both a rigid and a deformable interface have the same stability. Furthermore, a base planar Poiseuille flow affects the linear stability of the system and the type of instability when the interface is allowed to deform. Flow stabilizes an already unstable system and works to destabilize a stable system. Lastly, the dependence of the linear stability of the system on viscosity ratio, depth ratio, and Prandtl number, Pr, experimentally adjustable parameters, is discussed. Whereas Pr has little effect on the stability of the system, we show that a small viscosity ratio and a large depth ratio are advantageous in making the system unstable.

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“…The flow field in the end-wall region was analyzed by matching with the core region flow. 22,23 The nonlinear simulations of thermocapillary convective flows in a closed cavity filled by a symmetric three-layer system, have been performed in Ref. 24 In the present paper, we investigate nonlinear wavy convective flows in three-layer systems: ͑a͒ n-octane-methanoln-octane and ͑b͒ silicone oil 1-ethylene glycol-fluorinert FC75, subjected to a temperature gradient directed along the interfaces.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear buoyant-thermocapillary flows in a three-layer system with a temperature gradient along the interfaces

Simanovskii

2007

Physics of Fluids

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The nonlinear buoyant-thermocapillary flows in three superposed liquid layers bounded by two solid planes and subjected to a temperature gradient directed along the interfaces, are investigated. Two types of boundary conditions, periodic boundary conditions and heat-insulated lateral walls, are considered. The nonlinear simulations of the wavy convective regimes are performed by the finite-difference method.

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Natural and thermocapillary convection in multiple liquid layers

Cited by 9 publications

References 4 publications

Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

Convective oscillations in multilayer systems under the combined action of buoyancy and thermocapillary effect

The impact of deformable interfaces and Poiseuille flow on the thermocapillary instability of three immiscible phases confined in a channel

Nonlinear buoyant-thermocapillary flows in a three-layer system with a temperature gradient along the interfaces

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