Non UBC
DSpace
Einarsson, Jonas
2019-03-22T02:09:01Z
2018-07-24T15:32
We consider the Brownian motion of a small spherical particle in viscoelastic flow. Even in absence of external flow or forcing the particle resistance is frequency-dependent which establishes a link between observed Brownian displacements and the linear rheology of the fluid [Mason, T.G., Weitz, D.A., 1995. PRL. 74, 1250.] Under external flow or forcing the frequency-dependent particle resistance may become anisotropic and non-symmetric due to fluid elasticity. We derive the Brownian mean-square displacements as function of time under the usual assumptions of statistical stationarity and equipartition. We also derive explicit results for the particle resistance via perturbation theory of the time-dependent Oldroyd-B model. We discuss potential applications of our results to Taylor dispersion and microrheology.
https://circle.library.ubc.ca/rest/handle/2429/69061?expand=metadata
30.0
video/mp4
Author affiliation: Stanford University
Banff (Alta.)
10.14288/1.0377301
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Fluid mechanics
Biology and other natural sciences
Fluid dynamics
Brownian motion in viscoelastic flow
Moving Image
http://hdl.handle.net/2429/69061