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Title: Hydrodynamic shocks in microroller suspensions

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 9; Related Information: CHORUS Timestamp: 2017-09-19 10:22:16; Journal ID: ISSN 2469-990X
American Physical Society
Country of Publication:
United States

Citation Formats

Delmotte, Blaise, Driscoll, Michelle, Chaikin, Paul, and Donev, Aleksandar. Hydrodynamic shocks in microroller suspensions. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.092301.
Delmotte, Blaise, Driscoll, Michelle, Chaikin, Paul, & Donev, Aleksandar. Hydrodynamic shocks in microroller suspensions. United States. doi:10.1103/PhysRevFluids.2.092301.
Delmotte, Blaise, Driscoll, Michelle, Chaikin, Paul, and Donev, Aleksandar. 2017. "Hydrodynamic shocks in microroller suspensions". United States. doi:10.1103/PhysRevFluids.2.092301.
title = {Hydrodynamic shocks in microroller suspensions},
author = {Delmotte, Blaise and Driscoll, Michelle and Chaikin, Paul and Donev, Aleksandar},
abstractNote = {},
doi = {10.1103/PhysRevFluids.2.092301},
journal = {Physical Review Fluids},
number = 9,
volume = 2,
place = {United States},
year = 2017,
month = 9

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 19, 2018
Publisher's Accepted Manuscript

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  • The macrophysics of a single-fluid plasma at a hydrodynamic shock is characterized completely by the three Rankine-Hugoniot conditions expressing conservation of particles, momentum flux, and energy flux across the shock. In a multifluid plasma containing an arbitrary number of ion species and electrons the rankine-Hugoniot conditions still characterize the behavior of the bulk plasma but not the properties of individual fluid constituents. Conservation laws for individual particle species are derived for parallel collisionless shocks. The shocks are assumed to be nonturbulent; i.e., the particles interact only via the electrostatic field. Given the plasma parameters upstream, the downstream solutions form amore » single-parameter family; the free parameter can be taken to be the electrostatic potential jump across the shock.« less
  • It has been established on the basis of the mathematically rigorous determination of the stability of a separation process that an increase in the duration of quasi-stationary conditions can be increased as a result of transitions between stationary hydrodynamic regimes. The boundaries of the region of weak turbulence, in which stability of a separation process as a function of the geometric characteristics of the apparatus, the physicochemical properties of the suspensions, and the stochastic parameters of the suspensions is possible, have been determined. The possibility of significant (by a factor of 2.5-3) intensification of a separation process in a thin-layermore » sedimentation tank without alteration of its geometric characteristics has been revealed. The results of this work were employed for intensifying the operation of the thin-layer sedimentation tanks already in units for the local purification of industrial waste water in plant in Dzerzhinsk.« less
  • A computational method aimed at calculating the hydrodynamic interactions between spherical particles, within the framework of the ''creeping-flow'' approximation, is developed further. The basic fluid equations for a system with periodic boundary conditions have been rederived, paying particular attention to possible divergences in the fluid velocity field. Numerical results have been obtained for the viscosity of a suspension of freely moving hard spheres over a range of solid densities from the dilute limit to near the hard-sphere freezing transition.
  • It has been suggested [D. L. Koch and E. S. G. Shaqfeh, J. Fluid Mech. {bold 224}, 275 (1991)] that the long-range hydrodynamic interactions in sedimenting suspensions of non-Brownian spheres are screened by changes in the pair correlation function. However, a large-scale numerical simulation, using more than 32000 spheres with full many-body hydrodynamic interactions, has found no evidence of the predicted changes in suspension microstructure. The absence of hydrodynamic screening in the simulations is shown to lead to divergent velocity fluctuations, in disagreement with recent experimental results [H. Nicolai and E. Guazzelli, Phys. Fluids {bold 7}, 3 (1995)]. {copyright} {italmore » 1996 The American Physical Society.}« less