Particle motion nearby rough surfaces

Christina Kurzthaler, Lailai Zhu, Amir A. Pahlavan, Howard A. Stone

Research output: Contribution to journalArticlepeer-review

Abstract

We study the hydrodynamic coupling between particles and solid, rough boundaries characterized by random surface textures. Using the Lorentz reciprocal theorem, we derive analytical expressions for the grand mobility tensor of a spherical particle and find that roughness-induced velocities vary nonmonotonically with the characteristic wavelength of the surface. In contrast to sedimentation near a planar wall, our theory predicts continuous particle translation transverse and perpendicular to the applied force. Most prominently, this motion manifests itself in a variance of particle displacements that grows quadratically in time along the direction of the force. This increase is rationalized by surface roughness generating particle sedimentation closer to or farther from the surface, which entails a significant variability of settling velocities

Original languageEnglish (US)
Article number082101
JournalPhysical Review Fluids
Volume5
Issue number8
DOIs
StatePublished - Aug 2020

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes

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