Fluid Mechanics and Transport Phenomena

Mixing from Fickian diffusion and natural convection in binary non-equilibrium fluid phases

  1. L. Rongy†,
  2. K. B. Haugen,
  3. A. Firoozabadi*

Article first published online: 16 JUN 2011

DOI: 10.1002/aic.12685

Issue

AIChE Journal

AIChE Journal

Volume 58, Issue 5, pages 1336–1345, May 2012

Additional Information

How to Cite

Rongy, L., Haugen, K. B. and Firoozabadi, A. (2012), Mixing from Fickian diffusion and natural convection in binary non-equilibrium fluid phases. AIChE J., 58: 1336–1345. doi: 10.1002/aic.12685

Author Information

  1. Dept. of Chemical Engineering, Mason Laboratory, Yale University, New Haven, CT 06511

  1. †

    Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, CP231, B-1050 Brussels, Belgium

*Dept. of Chemical Engineering, Mason Laboratory, Yale University, New Haven, CT 06511

Publication History

  1. Issue published online: 6 APR 2012
  2. Article first published online: 16 JUN 2011
  3. Accepted manuscript online: 18 MAY 2011 11:02AM EST
  4. Manuscript Revised: 18 APR 2011
  5. Manuscript Received: 3 SEP 2010

Funded by

  • R.E.R.I
  • F.R.S.-F.N.R.S. Belgium

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Keywords:

  • two-phase systems;
  • mixing;
  • carbon dioxide;
  • density-driven flow;
  • diffusion coefficients

Abstract

A two-dimensional (2-D) model that describes mass transport between non equilibrium gas and liquid phases of a binary non polar mixture in a closed system of fixed volume and temperature is presented. Diffusion, convective mass transport due to compressibility and non ideality, and the motion of the interface upon evaporation and dissolution are accounted. Natural convection in both phases is incorporated, which allows to study the effect of density increase in the liquid phase from gas dissolution. The Peng-Robinson equation of state is used to calculate the densities and the fugacities needed to find the interfacial composition consistent with local chemical equilibrium. The results obtained with a one-dimensional model was compared to our 2-D results, showing that natural convection influences the mixing time drastically. In the liquid bulk phase, convective flux is much higher than diffusive flux. Across the interface, diffusive flux is, however, the dominating flux, which allows accurate measurement of diffusion coefficients at high pressure in 2-D domains. © 2011 American Institute of Chemical Engineers AIChE J, 2012

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