Influence of Composition Dependent Diffusion Coefficient, Viscosity and Relaxation Time on Evaporative Rayleigh-Bénard-Marangoni Instabilities Induced by Solvent Evaporation in a Polymer Solution

Rabani, Ramin; Machrafi, Hatim; Dauby, Pierre

doi:10.1007/s12217-019-09732-8

Cited by 4 publications

(4 citation statements)

References 48 publications

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“…Considering that the inert gas absorption in the liquid is negligible and that only the solvent is volatile, the evaporation flux calculated at the liquid-gas interface takes the following form [69][70][71]:…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…Assuming the characteristic thermal time in the gas is much smaller than in the liquid, we can consider that the temperature of the upper gas phase is homogeneous, constant and equal to the ambient temperature. Therefore, the energy conservation at the liquid-gas interface takes the following form [70,71]:…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…Therefore, the analysis to carry out should examine the stability of a time-dependent (and zdependent) reference profile and determine, at each instant, the growth rates of zdependent perturbations. Such approaches can be based on the so-called frozen-time assumption and have been developed in other contexts for example in [70,96,97]. Instead of this complete analysis that requires rather complex numerical calculations, we develop here a simplified and qualitative approach, that nevertheless allows one to obtain interesting trends and general features of the instability mechanism.…”

Section: Beginning Of the Phase Separationmentioning

confidence: 99%

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Influence of evaporation on the morphology of a thin film of a partially miscible binary mixture

Rabani

Sadafi

Machrafi

et al. 2021

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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In this paper, we develop numerical, theoretical and experimental analyses of the different morphologies that can be created by the phase separation phenomena that are induced by solvent evaporation in a thin film of a partially miscible binary mixture. Disregarding hydrodynamic effects, the Cahn-Hilliard-Cook and temperature equations are used to describe the thermodynamics of non-isothermal phase separation in a 2D thin film. Numerical simulations are performed to investigate the interplay between evaporation and phase separation and we examine the effect on the morphology of the film of several parameters such as the initial thickness of the layer, or the initial temperature and concentration of the mixture. Interestingly, the competition between evaporation and phase separation is shown to be the main determinant of the choice between a lamellar or a lateral pattern in the beginning of phase separation. For moderate evaporation rate, the spinodal instability takes place close to the evaporating interface and a lateral structure is formed. For stronger evaporation, the spinodal instability does not occur and a lamellar structure is created. In addition, the mid-or long-term evolution of the system is also considered. The thickness of the film is an important parameter in this analysis and possible modifications of the pattern over time are emphasized. Detailed physical and theoretical interpretations are proposed for the results and experiments in a Hele-Shaw cell that nicely confirm our predictions are presented.

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Section: Boundary Conditionsmentioning

confidence: 99%

Section: Boundary Conditionsmentioning

confidence: 99%

Section: Beginning Of the Phase Separationmentioning

confidence: 99%

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Influence of evaporation on the morphology of a thin film of a partially miscible binary mixture

Rabani

Sadafi

Machrafi

et al. 2021

Colloids and Surfaces A: Physicochemical and Engineering Aspect

Self Cite

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“…In another work, Mikishev et al [30] have studied the effect of an insoluble surfactant on the thresholds of an evaporative Bénard-Marangoni instability in a liquid layer evaporating into air using one-sided model formulation, which means that only the lower liquid layer was modelled, while the upper gas layer is not described in detail and its influence on the liquid is introduced in a phenomenological way, by appropriate boundary conditions at the common interface. Rabani et al [31] performed a linear stability analysis within a horizontal polymer solution layer, which evaporates into air. Due to the cooling effect, the surface of an evaporating fluid induces temperature gradients in the liquid.…”

Section: Introductionmentioning

confidence: 99%

Evaporation induced demixing in binary sessile drops

Sadafi

Rabani

Dehaeck

et al. 2020

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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The interplay between evaporation and liquid-liquid phase separation (demixing) in binary sessile drops of partially miscible liquids is investigated. To determine the onset of the demixing phenomenon, a simple model is developed, which predicts a considerable temperature reduction (∼20°C) in the mixture due to evaporative cooling. Temperature reduction alongside with the change of composition lead to demixing in the mixtures. The model explains why a mixture at room temperature is able to demix, whilst the demixing upper critical temperature is at 6.3°C. Five stages of the process are identified and explained. For the cases studied here, once the demixing begins through nucleation, a growing fingering pattern is formed at the contact line. The length of the fingers and the final area of deposition increase with the initial concentration. Experimental tests were performed using a double telecentric setup.

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Effects of Microorganisms on Drop Formation in Microgravity During a Parabolic Flight with Residual Gravity and Jitter

McMackin

Adam

Griffin

et al. 2022

Microgravity Sci. Technol.

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Influence of Composition Dependent Diffusion Coefficient, Viscosity and Relaxation Time on Evaporative Rayleigh-Bénard-Marangoni Instabilities Induced by Solvent Evaporation in a Polymer Solution

Cited by 4 publications

References 48 publications

Influence of evaporation on the morphology of a thin film of a partially miscible binary mixture

Influence of evaporation on the morphology of a thin film of a partially miscible binary mixture

Evaporation induced demixing in binary sessile drops

Effects of Microorganisms on Drop Formation in Microgravity During a Parabolic Flight with Residual Gravity and Jitter

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