Title	Brownian motion in viscoelastic flow
Creator	Einarsson, Jonas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-24T15:32
Description	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.
Extent	30.0
Subject	Mathematics; Fluid mechanics; Biology and other natural sciences; Fluid dynamics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377301
URI	http://hdl.handle.net/2429/69061
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos

Brownian motion in viscoelastic flow Einarsson, Jonas

Description

Item Metadata

Item Media

Item Citations and Data

Rights