Thermodynamically admissible boundary conditions for the regularized 13 moment equations

Struchtrup, Henning

doi:10.1063/1.4941293

Title: Thermodynamically admissible boundary conditions for the regularized 13 moment equations

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Abstract

A phenomenological approach to the boundary conditions for linearized R13 equations is derived using the second law of thermodynamics. The phenomenological coefficients appearing in the boundary conditions are calculated by comparing the slip, jump, and thermal creep coefficients with linearized Boltzmann solutions for Maxwell’s accommodation model for different values of the accommodation coefficient. For this, the linearized R13 equations are solved for viscous slip, thermal creep, and temperature jump problems and the results are compared to the solutions of the linearized Boltzmann equation. The influence of different collision models (hard-sphere, Bhatnagar–Gross–Krook, and Maxwell molecules) and accommodation coefficients on the phenomenological coefficients is studied.

Authors:

Struchtrup, Henning ^[1]

Department of Mechanical Engineering, University of Victoria, Victoria, British Columbia V8W 2Y2 (Canada)

Publication Date:: Mon Feb 15 00:00:00 EST 2016

OSTI Identifier:: 22482499

Resource Type:: Journal Article

Journal Name:: Physics of Fluids (1994)

Additional Journal Information:: Journal Volume: 28; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-6631

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOLTZMANN EQUATION; BOUNDARY CONDITIONS; COLLISIONS; CREEP; SLIP; SPHERES; THERMODYNAMICS

Citation Formats


                    Rana, Anirudh Singh, E-mail: anirudh@uvic.ca, and Struchtrup, Henning. Thermodynamically admissible boundary conditions for the regularized 13 moment equations.  United States: N. p., 2016. 
        Web.  doi:10.1063/1.4941293.

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                    Rana, Anirudh Singh, E-mail: anirudh@uvic.ca, & Struchtrup, Henning. Thermodynamically admissible boundary conditions for the regularized 13 moment equations.  United States.  https://doi.org/10.1063/1.4941293

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                    Rana, Anirudh Singh, E-mail: anirudh@uvic.ca, and Struchtrup, Henning. 2016.  
        "Thermodynamically admissible boundary conditions for the regularized 13 moment equations".  United States.  https://doi.org/10.1063/1.4941293.

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@article{osti_22482499,

  title        = {Thermodynamically admissible boundary conditions for the regularized 13 moment equations},

  author       = {Rana, Anirudh Singh, E-mail: anirudh@uvic.ca and Struchtrup, Henning},

  abstractNote = {A phenomenological approach to the boundary conditions for linearized R13 equations is derived using the second law of thermodynamics. The phenomenological coefficients appearing in the boundary conditions are calculated by comparing the slip, jump, and thermal creep coefficients with linearized Boltzmann solutions for Maxwell’s accommodation model for different values of the accommodation coefficient. For this, the linearized R13 equations are solved for viscous slip, thermal creep, and temperature jump problems and the results are compared to the solutions of the linearized Boltzmann equation. The influence of different collision models (hard-sphere, Bhatnagar–Gross–Krook, and Maxwell molecules) and accommodation coefficients on the phenomenological coefficients is studied.},

  doi          = {10.1063/1.4941293},

  url          = {https://www.osti.gov/biblio/22482499},
  journal      = {Physics of Fluids (1994)},

  issn         = {1070-6631},

  number       = 2,

  volume       = 28,

  place        = {United States},

  year         = {Mon Feb 15 00:00:00 EST 2016},

  month        = {Mon Feb 15 00:00:00 EST 2016}

}

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