Scaling of transient hydrodynamic interactions in concentrated suspensions

Citation:

Zhu, J. X. ; Durian, D. J. ; Muller, J. ; Weitz, D. A. ; Pine, D. J. Scaling of transient hydrodynamic interactions in concentrated suspensions. Physical Review Letters 1992, 68, 2559-2562. Copy at http://www.tinyurl.com/y3tcbgu4
zhu1992.pdf368 KB

Abstract:

The mean-square displacement [DELTA-r2(tau)] of particles in concentrated suspensions is measured at times sufficiently short to observe the transient nature of hydrodynamic interactions. For all volume fractions-phi, the velocity autocorrelation function decays as a power law R(tau) is similar to tau–3/2. A remarkable scaling with phi is observed for the time-dependent self-diffusion coefficient D(s)(tau) = [DELTA-r2(tau)]/6-tau: If D(s)(tau) is scaled by its asymptotic value and if time is scaled by a viscous time inversely proportional to the shear viscosity of the suspension, all the data fall onto a single master curve.

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Last updated on 06/14/2021