Exact Non-Local Hydrodynamics Predict Rarefaction Effects
Fluid Dynamics
2024-11-11 v1 Mathematical Physics
math.MP
Abstract
We combine the theory of slow spectral closure for linearized Boltzmann equations with Maxwell's kinetic boundary conditions to derive non-local hydrodynamics with arbitrary accommodation. Focusing on shear-mode dynamics, we obtain explicit steady state solutions in terms of Fourier integrals and closed-form expressions for the mean flow and the stress. We demonstrate that the exact non-local fluid model correctly predicts several rarefaction effects with accommodation, including the Couette flow and thermal creep in a plane channel.
Cite
@article{arxiv.2411.05428,
title = {Exact Non-Local Hydrodynamics Predict Rarefaction Effects},
author = {Florian Kogelbauer and Ilya Karlin},
journal= {arXiv preprint arXiv:2411.05428},
year = {2024}
}