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Integration through transients for inelastic hard sphere fluids

Kranz, W. Till and Frahsa, Fabian and Zippelius, Annette and Fuchs, Matthias and Sperl, Matthias (2020) Integration through transients for inelastic hard sphere fluids. Physical Review Fluids, 5, 024305. American Physical Society. doi: 10.1103/PhysRevFluids.5.024305. ISSN 2469-990X.

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Official URL: https://link.aps.org/doi/10.1103/PhysRevFluids.5.024305


We compute the rheological properties of inelastic hard spheres in steady shear flow for general shear rates and densities. Starting from the microscopic dynamics we generalize the Integration Through Transients formalism to a fluid of dissipative, randomly driven granular particles. The stress relaxation function is computed approximately within a mode-coupling theory—based on the physical picture that relaxation of shear is dominated by slow structural relaxation, as the glass transition is approached. The transient build-up of stress in steady shear is thus traced back to transient density correlations which are computed self-consistently within mode-coupling theory. The glass transition is signaled by the appearance of a yield stress and a divergence of the Newtonian viscosity, characterizing linear response. For shear rates comparable to the structural relaxation time, the stress becomes independent of shear rate and we observe shear thinning, while for the largest shear rates Bagnold scaling, i.e., a quadratic increase of shear stress with shear rate, is recovered. The rheological properties are qualitatively similar for all values of ɛ, the coefficient of restitution; however, the magnitude of the stress as well as the range of shear thinning and thickening show significant dependence on the inelasticity.

Item URL in elib:https://elib.dlr.de/134282/
Document Type:Article
Title:Integration through transients for inelastic hard sphere fluids
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Frahsa, FabianUniversität KonstanzUNSPECIFIEDUNSPECIFIED
Zippelius, AnnetteUniversität GöttingenUNSPECIFIEDUNSPECIFIED
Fuchs, MatthiasUniversität KonstanzUNSPECIFIEDUNSPECIFIED
Date:28 February 2020
Journal or Publication Title:Physical Review Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:024305
Publisher:American Physical Society
Keywords:integration through transients, rheology, granular media
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Model systems
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Sperl, Matthias
Deposited On:06 Mar 2020 12:55
Last Modified:06 Mar 2020 12:55

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