arXiv subjects

Kyoko Tomoeda

Publications and source records attributed to Kyoko Tomoeda.

2 recordsLinked to original sources

arXiv2021

A mathematical treatment of bump structure for the particle laden flows with particle features

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.

physics.flu-dyn↗

arXiv2017

Toward a mathematical analysis for a model of suspension flowing down an inclined plane

We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. {\bf{717}}, 203--231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)].

math.AP↗