Universität zu Köln

Kranz, W. Till, Frahsa, Fabian, Zippelius, Annette, Fuchs, Matthias ORCID: 0000-0002-9757-6924 and Sperl, Matthias (2020). Integration through transients for inelastic hard sphere fluids. Phys. Rev. Fluids, 5 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-990X

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Abstract

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 epsilon, 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 Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kranz, W. Till UNSPECIFIED UNSPECIFIED UNSPECIFIED Frahsa, Fabian UNSPECIFIED UNSPECIFIED UNSPECIFIED Zippelius, Annette UNSPECIFIED UNSPECIFIED UNSPECIFIED Fuchs, Matthias UNSPECIFIED orcid.org/0000-0002-9757-6924 UNSPECIFIED Sperl, Matthias UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-343833
DOI:	10.1103/PhysRevFluids.5.024305
Journal or Publication Title:	Phys. Rev. Fluids
Volume:	5
Number:	2
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-990X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DENSE INCLINED FLOWS; MODE-COUPLING THEORY; STATISTICAL-MECHANICS; GRANULAR MEDIA; TRANSPORT-COEFFICIENTS; SLLOD EQUATIONS; STRESS TENSOR; DYNAMICS; MOTION; LIQUIDS Multiple languages Physics, Fluids & Plasmas Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34383