Thermodynamically admissible boundary conditions for the regularized 13 moment equations

Date

2016-02

Authors

Rana, Anirudh Singh
Struchtrup, Henning

Journal Title

Journal ISSN

Volume Title

Publisher

Physics of Fluids

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. C

Description

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Citation

Rana, A.S., & Struchtrup, H. (2016). Thermodynamically admissible boundary conditions for the regularized 13 moment equations. Physics of Fluids, 28, 027105