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Related Experiment Videos

Phenomenological viscous factor in the nonequilibrium distribution function for liquids.

S Morioka1

  • 1Key Laboratory of Liquid Structure and Heredity of Materials, College of Materials Science and Engineering, Shandong University, Jinan, Shandong 250061, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary

This study presents an improved shear viscosity formula for liquids, incorporating a phenomenological viscous factor. This new model accurately predicts liquid viscosity, aligning with experimental data for Argon and Lead.

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Area of Science:

  • Condensed Matter Physics
  • Chemical Physics
  • Fluid Dynamics

Background:

  • Existing shear viscosity formulas, like Born and Green's, are incomplete.
  • Higher-order interactions in liquids are challenging to model accurately.

Purpose of the Study:

  • To develop an improved shear viscosity formula for liquids.
  • To incorporate higher-order interactions using a phenomenological viscous factor.
  • To validate the formula against experimental data for Argon and Lead.

Main Methods:

  • Introduced a phenomenological viscous factor into the nonequilibrium term of the doublet distribution function.
  • Constrained the factor to match Enskog's formula for hard-sphere liquids.
  • Utilized an integral equation to calculate the radial distribution function.

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  • Calculated shear viscosity for liquid Argon and Lead.

    • Main Results:

    • The improved formula accurately describes shear viscosity for Argon near the triple point.
    • The formula also accurately predicts shear viscosity for Lead across a wide temperature range.
    • The phenomenological viscous factor is crucial for accurate shear viscosity evaluation.

    Conclusions:

    • The developed shear viscosity formula provides a significant improvement over previous models.
    • The phenomenological viscous factor effectively accounts for complex liquid interactions.
    • The formula demonstrates broad applicability for describing liquid properties.