Convection induced by composition gradients in miscible systems

Vitaly A. Volpert; John A. Pojman; Rozenn Texier-Picard

doi:10.1016/S1631-0721(02)01467-5

Convection induced by composition gradients in miscible systems
[Convection induite par des gradients de composition dans les systèmes miscibles]

Vitaly A. Volpert ¹ ; John A. Pojman ² ; Rozenn Texier-Picard ¹

¹ MAPLY UMR 5585, Université Lyon 1, 69022 Villeurbanne cedex, France
² University of Southern Mississipi, 2609 West Fourth Street, M'Cleskey Hall, Roam H, Hathesbrug, MS 39406, USA

Comptes Rendus. Mécanique, Volume 330 (2002) no. 5, pp. 353-358.

Résumé
Abstract

Quand deux fluides miscibles, tels le glycérol (glycérine) et l'eau, sont mis en contact, un fort gradient de concentration se crée, qui décroît au cours du temps du fait de la diffusion. Avec un modèle mathématique basé sur le tenseur des contraintes de Korteweg, nous montrons qu'il peut se produire un phénomène de convection analogue à la convection due à la tension de surface, ou convection de Marangoni. En particulier, nous montrons qu'avec des paramètres réalistes on peut obtenir des courants significatifs avec des interfaces planes, et que des gouttes de liquides miscibles peuvent se comporter comme leurs analogues non miscibles. Pour les interfaces planes, une confirmation expérimentale de ce phénomène est prévue dans la Station Spatiale Internationale.

When two miscible fluids, such as glycerol (glycerin) and water, are brought in contact, a large concentration (and density) gradient exists, which relaxes through diffusion. With a mathematical model based on the Korteweg stress, we show that convection can occur which is analogous to surface-tension induced convection (STIC) or Marangoni convection. Specifically, we show that with realistic parameters significant flows can occur with plane interfaces and that drops of miscible fluids can act like their immiscible counterparts. Regarding plane interfaces, an experimental confirmation of this phenomenon is planned for the International Space Station.

Reçu le : 2002-01-11
Accepté le : 2002-03-19
Publié le : 2002-01-01

DOI : 10.1016/S1631-0721(02)01467-5

Keywords: fluid mechanics, computational fluid dynamics, convection, miscible fluid, diffuse interface, microgravity, interfacial tension
Mots-clés : mécanique des fluides, mécanique des fluides numérique, convection, fluides msicibles, intreface diffuse, microgravité, tension superficielle

Affiliations des auteurs :

Vitaly A. Volpert ¹ ; John A. Pojman ² ; Rozenn Texier-Picard ¹

¹ MAPLY UMR 5585, Université Lyon 1, 69022 Villeurbanne cedex, France
² University of Southern Mississipi, 2609 West Fourth Street, M'Cleskey Hall, Roam H, Hathesbrug, MS 39406, USA

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Vitaly A. Volpert; John A. Pojman; Rozenn Texier-Picard. Convection induced by composition gradients in miscible systems. Comptes Rendus. Mécanique, Volume 330 (2002) no. 5, pp. 353-358. doi : 10.1016/S1631-0721(02)01467-5. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01467-5/

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