Drag and diffusion coefficients of a spherical particle attached to a fluid-fluid interface

Aaron Dörr, Steffen Hardt, Hassan Masoud, Howard A. Stone

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the flat interface between two immiscible fluids are constructed for the case of a vanishing viscosity ratio between the fluid phases. The model is designed to account explicitly for the dependence on the contact angle between the two fluids and the solid surface. The Lorentz reciprocal theorem is applied in the context of geometric perturbations from the limiting cases of 90° and 180° contact angles. The model agrees well with the experimental and numerical data from the literature. Also, an advantage of the method utilized is that the drag and diffusion coefficients can be calculated up to one order higher in the perturbation parameter than the known velocity and pressure fields. Extensions to other particle shapes with known velocity and pressure fields are straightforward.

Original languageEnglish (US)
Pages (from-to)607-618
Number of pages12
JournalJournal of Fluid Mechanics
Volume790
DOIs
StatePublished - Mar 1 2016

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • interfacial flows
  • low-Reynolds-number flows
  • particle/fluid flow

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