Article
Mobility of membrane-trapped particles
Journal of Fluid Mechanics
(2015)
Abstract
Rheological and transport studies of model thin films and membranes, often inspired by biological systems, make use of translational or rotational motion or diffusion of particles trapped in the surface film. Here, we consider the translational mobility of spherical and oblate spheroidal particles protruding into the surrounding subphase liquid. Both the subphase and surface film contribute to the resistance experienced by the particle, which is calculated as a function of the degree of protrusion as well as the viscosity contrast between the surface film and the surrounding fluid. The calculations are based on a combination of a perturbation expansion involving the particle shape and the Lorentz reciprocal theorem.
Keywords
- interfacial flows (free surface),
- low-Reynolds-number flows,
- membranes
Disciplines
Publication Date
September 24, 2015
DOI
10.1017/jfm.2015.486
Publisher Statement
© 2015 Cambridge University Press. Publisher's version of record: https://doi.org/10.1017/jfm.2015.486
Citation Information
Howard A. Stone and Hassan Masoud. "Mobility of membrane-trapped particles" Journal of Fluid Mechanics Vol. 781 (2015) p. 494 - 505 ISSN: 0022-1120 Available at: http://works.bepress.com/hassan-masoud/7/