The stress in a non-uniform suspension of heavy particles

Research output: Contribution to conferencePaperAcademic

5 Downloads (Pure)

Abstract

The ensemble averaged stress system in a non-uniform suspension of equal spheres subject to external forces or torques is considered. It is found that, as a consequence of the spatial non-uniformity of the system, new terms arise both in the symmetric and antisymmetric parts of the bulk stress. In particular, a new antisymmetric contribution is found even in the absence of external torques. All these terms depend on the particle volume fraction but are independent of the particle size. At low concentrations these results are established by a new formulation of the renormalization technique while, at finite concentrations, a combination of ensemble averaging and numerical simulation is used.
Original languageEnglish
Publication statusPublished - 20 Nov 2005
Event58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005 - Chicago, United States
Duration: 20 Nov 200522 Nov 2005
Conference number: 58

Conference

Conference58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005
Abbreviated titleAPS-DFD
CountryUnited States
CityChicago
Period20/11/0522/11/05

Fingerprint

torque
nonuniformity
low concentrations
formulations
simulation

Keywords

  • METIS-229492

Cite this

Zhang, Q., & Prosperetti, A. (2005). The stress in a non-uniform suspension of heavy particles. Paper presented at 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, Chicago, United States.
Zhang, Q ; Prosperetti, Andrea. / The stress in a non-uniform suspension of heavy particles. Paper presented at 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, Chicago, United States.
@conference{5cfbd7184ae04d1eade36748c017bfb9,
title = "The stress in a non-uniform suspension of heavy particles",
abstract = "The ensemble averaged stress system in a non-uniform suspension of equal spheres subject to external forces or torques is considered. It is found that, as a consequence of the spatial non-uniformity of the system, new terms arise both in the symmetric and antisymmetric parts of the bulk stress. In particular, a new antisymmetric contribution is found even in the absence of external torques. All these terms depend on the particle volume fraction but are independent of the particle size. At low concentrations these results are established by a new formulation of the renormalization technique while, at finite concentrations, a combination of ensemble averaging and numerical simulation is used.",
keywords = "METIS-229492",
author = "Q Zhang and Andrea Prosperetti",
year = "2005",
month = "11",
day = "20",
language = "English",
note = "58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, APS-DFD ; Conference date: 20-11-2005 Through 22-11-2005",

}

Zhang, Q & Prosperetti, A 2005, 'The stress in a non-uniform suspension of heavy particles' Paper presented at 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, Chicago, United States, 20/11/05 - 22/11/05, .

The stress in a non-uniform suspension of heavy particles. / Zhang, Q; Prosperetti, Andrea.

2005. Paper presented at 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, Chicago, United States.

Research output: Contribution to conferencePaperAcademic

TY - CONF

T1 - The stress in a non-uniform suspension of heavy particles

AU - Zhang, Q

AU - Prosperetti, Andrea

PY - 2005/11/20

Y1 - 2005/11/20

N2 - The ensemble averaged stress system in a non-uniform suspension of equal spheres subject to external forces or torques is considered. It is found that, as a consequence of the spatial non-uniformity of the system, new terms arise both in the symmetric and antisymmetric parts of the bulk stress. In particular, a new antisymmetric contribution is found even in the absence of external torques. All these terms depend on the particle volume fraction but are independent of the particle size. At low concentrations these results are established by a new formulation of the renormalization technique while, at finite concentrations, a combination of ensemble averaging and numerical simulation is used.

AB - The ensemble averaged stress system in a non-uniform suspension of equal spheres subject to external forces or torques is considered. It is found that, as a consequence of the spatial non-uniformity of the system, new terms arise both in the symmetric and antisymmetric parts of the bulk stress. In particular, a new antisymmetric contribution is found even in the absence of external torques. All these terms depend on the particle volume fraction but are independent of the particle size. At low concentrations these results are established by a new formulation of the renormalization technique while, at finite concentrations, a combination of ensemble averaging and numerical simulation is used.

KW - METIS-229492

UR - http://meetings.aps.org/Meeting/DFD05/Session/FK.1

M3 - Paper

ER -

Zhang Q, Prosperetti A. The stress in a non-uniform suspension of heavy particles. 2005. Paper presented at 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, Chicago, United States.