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Nonlinear dissipation and nonequilibrium gas flows.

Di Wu1,2, Donghuan Wang2, Hong Xiao2,3

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Summary
This summary is machine-generated.

This study extends Rayleigh-Onsager dissipation to nonlinear irreversible thermodynamics, enabling unified modeling of equilibrium and nonequilibrium gas flows. The new method ensures positive entropy generation for complex systems.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Fluid Dynamics

Background:

  • Traditional Rayleigh-Onsager dissipation theory applies only to linear irreversible thermodynamics.
  • Nonlinear irreversible thermodynamics and its associated phenomena, like nonequilibrium flows, remain challenging to model.
  • Existing models often lack a unified framework for both equilibrium and nonequilibrium systems.

Purpose of the Study:

  • To introduce an extension of Rayleigh-Onsager dissipation applicable to highly nonlinear irreversible thermodynamics.
  • To demonstrate the utility of this extended theory in addressing complex thermodynamic problems.
  • To provide a unified framework for modeling both equilibrium and nonequilibrium gas flows.

Main Methods:

  • Developed an extension of Rayleigh-Onsager dissipation to highly nonlinear regimes.
  • Ensured the extended theory satisfies the positive entropy generation criterion.
  • Applied the nonlinear dissipation framework to derive generalized hydrodynamics from kinetic theory (Eu theory).

Main Results:

  • Successfully extended Rayleigh-Onsager dissipation to nonlinear irreversible thermodynamics.
  • The extended theory fulfills the positive entropy generation criterion.
  • Derived generalized hydrodynamics, offering alternative evolution equations for stress tensor and heat flux.
  • Investigated challenging nonlinear irreversible thermodynamics problems, including nonequilibrium flows.

Conclusions:

  • The introduced nonlinear dissipation provides a robust method for treating nonlinear irreversible thermodynamics.
  • This approach offers a promising alternative for a unified framework in gas flow modeling.
  • The study bridges the gap between linear and nonlinear thermodynamic descriptions.