TY - ELEC
AU - Einarsson, Jonas
PY - 2018
TI - Brownian motion in viscoelastic flow
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377301
ER - End of Reference