New exact solutions for microscale gas flows
Fluid Dynamics
2022-12-02 v1
Abstract
We present a number of exact solutions to the linearised Grad equations for non-equilibrium rarefied gas flows and heat flows. The solutions include the flow and pressure fields associated to a point force placed in a rarefied gas flow close to a no-slip boundary and the temperature field for a point heat source placed in a heat flow close to a temperature jump boundary. We also derive the solution of the unsteady Grad equations in one dimension with a time-dependent point heat source term and the Grad analogue of the rotlet, a well-known singularity of Stokes flow which corresponds to a point torque.
Cite
@article{arxiv.2212.00755,
title = {New exact solutions for microscale gas flows},
author = {Hollis Williams},
journal= {arXiv preprint arXiv:2212.00755},
year = {2022}
}