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Related Experiment Videos

Relations between transport coefficients and their density and temperature dependence.

Byung Chan Eu1

  • 1Department of Chemistry, McGill University, 801 Sherbrooke Street West, Montreal, Quebec H3A 2K6, Canada.

The Journal of Physical Chemistry. A
|January 20, 2006
PubMed
Summary

Density fluctuation theory provides reliable relations for fluid transport coefficients, including viscosity and thermal conductivity. This molecular theory accurately computes density and temperature dependencies for gases and liquids.

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Voids, generic van der Waals equation of state, and transport coefficients of liquids.

Physical chemistry chemical physics : PCCP·2007

Area of Science:

  • Physical Chemistry
  • Statistical Mechanics
  • Fluid Dynamics

Background:

  • Traditional kinetic theory struggles with transport coefficients in liquids and dense gases.
  • Nonequilibrium statistical mechanics offers a promising alternative framework.

Purpose of the Study:

  • To discuss relations between transport coefficients (viscosity, thermal conductivity, diffusion) derived from density fluctuation theory.
  • To demonstrate the computation of fluid transport properties using molecular interaction models.

Main Methods:

  • Utilizing density fluctuation theory to establish relations between bulk viscosity, shear viscosity, thermal conductivity, and self-diffusion coefficient.
  • Applying modified free volume theory and the van der Waals equation of state.
  • Determining model parameters at low density or subcritical temperature.

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Main Results:

  • Demonstrated accurate computation of density and temperature dependencies for transport coefficients.
  • Validated the theory for both gases and liquids across wide experimental ranges.
  • Established a reliable molecular theory for transport coefficients, bridging a gap in existing kinetic theory.

Conclusions:

  • Density fluctuation theory provides a robust molecular framework for understanding fluid transport properties.
  • The developed methods allow for accurate predictions of viscosity, thermal conductivity, and diffusion coefficients.
  • This theory offers a unified approach for gases and liquids, applicable over broad density and temperature regimes.