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