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Related Experiment Videos

Dynamics of dissipative ordered fluids.

A M Sonnet1, E G Virga

  • 1Dipartimento di Matematica, Istituto Nazionale di Fisica della Materia, Università di Pavia, Via Ferrata 1, I-27100 Pavia, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
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A new variational principle enables deriving fluid motion equations for complex microstructures using free energy and dissipation. This framework successfully models uniaxial nematic liquid crystals hydrodynamics.

Area of Science:

  • Fluid dynamics
  • Continuum mechanics
  • Materials science

Background:

  • Modeling fluids with complex internal structures (microstructure) is challenging.
  • Existing methods may lack a unified theoretical foundation.
  • Tensorial order parameters are crucial for describing anisotropic materials.

Purpose of the Study:

  • To propose a general variational principle for deriving equations of motion for fluids with microstructure.
  • To establish a framework based on fundamental thermodynamic quantities.
  • To demonstrate the framework's applicability using a specific example.

Main Methods:

  • Formulating a variational principle based on free energy and dissipation densities.
  • Applying invariance requirements to constitutive ingredients.

Related Experiment Videos

  • Deriving hydrodynamic equations from the variational principle.

    • Main Results:

    • A general method for deriving fluid microstructure equations of motion is presented.
    • The method relies solely on free energy and dissipation densities.
    • The hydrodynamic theory of uniaxial nematic liquid crystals is successfully derived.

    Conclusions:

    • The proposed variational principle offers a unified approach to fluid microstructure dynamics.
    • The framework is versatile and applicable to various anisotropic fluid systems.
    • This work provides a rigorous foundation for modeling complex fluids.