Technical Note Marangoni instability of a layer of binary liquid in the presence of nonlinear Soret effect

Slavtchev, Slavtcho; Simeonov, Gueorguiev; Vaerenbergh, S. Van; Legros, Jean Claude

doi:10.1016/s0017-9310(98)00353-6

Cited by 30 publications

(24 citation statements)

References 7 publications

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“…The case in which the solute concentration is produced by the Soret effect and deformations are negligible was considered in Refs. [23][24][25][26][27][28][29][30]. Unlike in the case of a pure liquid, an oscillatory Marangoni instability is possible in binary liquids ͑see Refs.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers

2006

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We investigate the long-wave Marangoni instability in binary-liquid layers in the presence of the Soret effect in the case of finite Biot numbers. Linear stability theory reveals both long-wave monotonic and oscillatory modes of instability in various parameter domains. A set of nonlinear evolution equations governing the spatiotemporal dynamics of a thin binary-liquid film is derived. Based on this set of equations, weakly nonlinear analysis is carried out. Selection of stable supercritical patterns is investigated in the limit of low gravity. Various parameter domains are examined in which supercritical standing and traveling waves are found. Stability of superposed two-wave traveling solutions is also investigated.

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Section: Introductionmentioning

confidence: 99%

Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers

2006

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“…In concentrated mixtures, S T is also a function of the solute concentration and can even change sign (Kolodner et al 1988;Slavtchev et al 1999). …”

Section: Overall Program Objectivementioning

confidence: 99%

Soret Effect Study on High-Pressure CO2-Water Solutions Using UV-Raman Spectroscopy and a Concentric-Tube Optical Cell

Windisch¹,

McGrail²,

Maupin³

2012

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Spatially resolved deep-UV Raman spectroscopy was applied to solutions of CO 2 and H 2 O (or D 2 O), which were subject to a temperature gradient in a thermally regulated high-pressure concentric-tube Raman cell in an attempt to measure a Soret effect in the vicinity of the critical point of CO 2 . Although Raman spectra of solutions of CO 2 dissolved in D 2 O at 10 MPa and temperatures near the critical point of CO 2 had adequate signal-to-noise and spatial resolution to observe a Soret effect with a Soret coefficient with magnitude of |S T | > 0.03, no evidence for an effect of this size was obtained for applied temperature gradients up to 19 o C. The presence of 1 M NaCl did not make a difference. In contrast, the concentration of CO 2 dissolved in H 2 O was shown to vary significantly across the temperature gradient when excess CO 2 was present, but the results could be explained simply by the variation in CO 2 solubility over the temperature range and not to kinetic factors. For mixtures of D 2 O dissolved in scCO 2 at 10 MPa and temperatures close to the critical point of CO 2 , the Raman peaks for H 2 O were too weak to measure with confidence even at the limit of D 2 O solubility.iv

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“…The linear stability of experimental Soret convection in a water-ethanol mixture under various boundary conditions had been investigated by Knobloch and Moore [18] with an emphasis on the Biot number. The thermocapillary instability in a binary fluid on the onset of convection with Soret effect and other physical influences also had been studied [19][20][21]. Later, Nield and Kuznetsov [22] extended [10] and used the linear instability theory to study the onset of double-diffusive convection in a horizontal layer of a nanofluid.…”

Section: Introductionmentioning

confidence: 99%

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

Khalid

Mokhtar

Hashim

et al. 2017

Advances in Mathematical Physics

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A linear stability analysis has been carried out to examine the effect of internal heat source on the onset of Rayleigh-Bénard convection in a rotating nanofluid layer with double diffusive coefficients, namely, Soret and Dufour, in the presence of feedback control. The system is heated from below and the model used for the nanofluid layer incorporates the effects of thermophoresis and Brownian motion. Three types of bounding systems of the model have been considered which are as follows: both the lower and upper bounding surfaces are free, the lower is rigid and the upper is free, and both of them are rigid. The eigenvalue equations of the perturbed state were obtained from a normal mode analysis and solved using the Galerkin method. It is found that the effect of internal heat source and Soret parameter destabilizes the nanofluid layer system while increasing the Coriolis force, feedback control, and Dufour parameter helps to postpone the onset of convection. Elevating the modified density ratio hastens the instability in the system and there is no significant effect of modified particle density in a nanofluid system.

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Technical Note Marangoni instability of a layer of binary liquid in the presence of nonlinear Soret effect

Cited by 30 publications

References 7 publications

Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers

Linear and nonlinear theory of long-wave Marangoni instability with the Soret effect at finite Biot numbers

Soret Effect Study on High-Pressure CO2-Water Solutions Using UV-Raman Spectroscopy and a Concentric-Tube Optical Cell

Effect of Internal Heat Source on the Onset of Double-Diffusive Convection in a Rotating Nanofluid Layer with Feedback Control Strategy

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