Paper Title:
Thermodynamically Consistent Formulation of the Sedimentation in Solids and Liquids
  Abstract

We propose a theoretical framework to derive a consistent set of equations describing sedimentation, i.e. diffusion induced by the gravity (centrifugal) field, in a multi component system. This procedure starts from the combined 1) mass conservation law, 2) equation of motion, 3) volume continuity equation and 4) Nernst-Planck flux formulae. The method known as bi-velocity or Darken model is based on the postulate of a unique transport mechanism for volume and mass. The concentration profile in the equilibrium state is found by solving the nonlinear set of equations. Example applications of this theory applied to Bi-Sb system is evidence of sedimentation of substitutional atoms in condensed matter via diffusion mechanisms.

  Info
Periodical
Defect and Diffusion Forum (Volumes 309-310)
Edited by
B.S. Bokstein, A.O. Rodin and B.B. Straumal
Pages
275-278
DOI
10.4028/www.scientific.net/DDF.309-310.275
Citation
B. Wierzba, M. Danielewski, "Thermodynamically Consistent Formulation of the Sedimentation in Solids and Liquids", Defect and Diffusion Forum, Vols. 309-310, pp. 275-278, 2011
Online since
March 2011
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