A mathematical treatment of bump structure for the particle laden flows with particle features
Fluid Dynamics
2021-05-18 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider the particle laden flows on a inclined plane under the effect of the gravity. It is observed from preceding experimental works that the particle-rich ridge is generated near the contact line. The bump structure observed in particle-rich ridge is studied in terms of Lax's shock waves in the mathematical theory of conservation laws. In the present study, the effect of particles with nontrivial radii on morphology of particle laden flows is explicitly considered, and dependence of radius and concentration of particles on the bump structure is extracted.
Cite
@article{arxiv.2105.07389,
title = {A mathematical treatment of bump structure for the particle laden flows with particle features},
author = {Kaname Matsue and Kyoko Tomoeda},
journal= {arXiv preprint arXiv:2105.07389},
year = {2021}
}
Comments
19 pages