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Unified Hydrodynamic Model of Thermodiffusion and Cross-Diffusion in Liquids
Journal of Non-Equilibrium Thermodynamics (2007)
  • Martin E. Schimpf, Boise State University
  • Semen N. Semenov
Over the last six years, we have published a series of papers developing a hydrodynamic model of thermodi¤usion in liquids and liquid mixtures. Initial work focused on the movement of polymers dissolved in nonpolar solvents arising from the pressure gradient induced by asymmetry in polymer–solvent interactions as a result of the temperature-induced concentration gradient in the solvent. As that model was refined, we examined secondary e¤ects of a macroscopic pressure gradient in the solvent, and finally extended our hydrodynamic approach to cross-di¤usion and thermodi¤usion in solvent mixtures. Application of the model is currently limited to non-ionic liquids, where molecular interaction energies can be estimated by Hamaker constants or similar parameters. In this paper we present the body of work as a whole, in order to ensure a consistent nomenclature and unify the model for application to liquid mixtures in general. To test the model, values of Soret coe‰cients for mixtures of toluene and n-hexane have been calculated using parameters in the literature.
Publication Date
September, 2007
Citation Information
Martin E. Schimpf and Semen N. Semenov. "Unified Hydrodynamic Model of Thermodiffusion and Cross-Diffusion in Liquids" Journal of Non-Equilibrium Thermodynamics Vol. 32 Iss. 3 (2007) p. 281 - 288 ISSN: 03400204
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