Hydrodynamic forces on steady and oscillating porous particles

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.

References in corpus (3)

• Lattice Boltzmann Simulation of Non-Ideal Fluids
• Simulation of a Single Polymer Chain in Solution by Combining Lattice Boltzmann and Molecular Dynamics
• Elastic response of a nematic liquid crystal to an immersed nanowire

Cited by in corpus (4)

• The Raspberry Model for Hydrodynamic Interactions Revisited. I. Periodic Arrays of Spheres and Dumbbells
• The Raspberry Model for Hydrodynamic Interactions Revisited. II. The Effect of Confinement
• Hydrodynamic Effects on Confined Polymers
• Velocity relaxation of a porous sphere immersed in a viscous incompressible fluid