Hydrodynamic forces on steady and oscillating porous particles
Fluid Dynamics
2012-11-02 v1
Abstract
We derive new analytical results for the hydrodynamic force exerted on a sinusoidally oscillating porous shell and a sphere of uniform density in the Stokes limit. The coupling between the spherical particle and the solvent is done using the Debye-Bueche-Brinkman (DBB) model, i.e. by a frictional force proportional to the local velocity difference between the permeable particle and the solvent. We compare our analytical results and existing dynamic theories to Lattice-Boltzmann simulations of full Navier-Stokes equations for the oscillating porous particle. We find our analytical results to agree with simulations over a broad range of porosities and frequencies.
Cite
@article{arxiv.1211.0263,
title = {Hydrodynamic forces on steady and oscillating porous particles},
author = {Santtu T. T. Ollila and Tapio Ala-Nissila and Colin Denniston},
journal= {arXiv preprint arXiv:1211.0263},
year = {2012}
}