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Article
Drag and diffusion coefficients of a spherical particle attached to a fluid–fluid interface
Journal of Fluid Mechanics (2016)
  • Aaron Dörr, Technische Universität Darmstadt
  • Steffen Hardt, Technische Universität Darmstadt
  • Hassan Masoud, Princeton University, University of Nevada- Reno
  • Howard A. Stone, Princeton University
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  and   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.
Keywords
  • low-Reynolds-number flows,
  • particle/fluid flow,
  • interfacial flows
Publication Date
February 10, 2016
DOI
10.1017/jfm.2016.41
Publisher Statement
© 2016 Cambridge University Press. Publisher's version of record: https://doi.org/10.1017/jfm.2016.41
Citation Information
Aaron Dörr, Steffen Hardt, Hassan Masoud and Howard A. Stone. "Drag and diffusion coefficients of a spherical particle attached to a fluid–fluid interface" Journal of Fluid Mechanics Vol. 790 (2016) p. 607 - 618 ISSN: 0022-1120
Available at: http://works.bepress.com/hassan-masoud/6/