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Mixing rules for multicomponent mixture mass diffusion coefficients and thermal diffusion factors.

K G Harstad1, J Bellan

  • 1Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109-8099, USA.

The Journal of Chemical Physics
|July 23, 2004
PubMed
Summary
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New mixing rules for diffusion coefficients and thermal diffusion factors were developed using nonequilibrium thermodynamics and kinetic theory. These rules apply to multicomponent mixtures, even under high pressure conditions.

Area of Science:

  • Thermodynamics
  • Fluid Dynamics
  • Chemical Engineering

Background:

  • Understanding diffusion and thermal diffusion in fluid mixtures is crucial for many chemical processes.
  • Existing models often struggle with accuracy for multicomponent mixtures, especially at high pressures.

Purpose of the Study:

  • To derive novel mixing rules for mass diffusion coefficient and thermal diffusion factor matrices.
  • To generalize existing methods for thermal diffusion factors to multicomponent systems.

Main Methods:

  • Compatibility conditions between nonequilibrium thermodynamics and Grad's 13-moment kinetic theory were developed.
  • The Chapman-Enskog expansion procedure was generalized for multicomponent mixtures.

Main Results:

Related Experiment Videos

  • Mixing rules were established in terms of species mole fractions and binary processes.
  • The derived rules are applicable to many-component mixtures and high-pressure scenarios.
  • Generalization of thermal diffusion factors for binary mixtures to multicomponent systems was achieved.

Conclusions:

  • The new mixing rules provide a more accurate and generalized approach for diffusion calculations in fluid mixtures.
  • These rules have practical implications for process design and optimization in chemical engineering, particularly under demanding conditions.