Rheology of Inelastic Hard Spheres at Finite Density and Shear Rate

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2018
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Kranz, W. Till
Zippelius, Annette
Sperl, Matthias
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Physical Review Letters ; 121 (2018), 14. - 148002. - ISSN 0031-9007. - eISSN 1079-7114
Abstract
Considering a granular fluid of inelastic smooth hard spheres, we discuss the conditions delineating the rheological regimes comprising Newtonian, Bagnoldian, shear thinning, and shear thickening behavior. Developing a kinetic theory, valid at finite shear rates and densities around the glass transition density, we predict the viscosity and Bagnold coefficient at practically relevant values of the control parameters. The determination of full flow curves relating the shear stress σ to the shear rate ˙γ and predictions of the yield stress complete our discussion of granular rheology derived from first principles.
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ISO 690KRANZ, W. Till, Fabian FRAHSA, Annette ZIPPELIUS, Matthias FUCHS, Matthias SPERL, 2018. Rheology of Inelastic Hard Spheres at Finite Density and Shear Rate. In: Physical Review Letters. 121(14), 148002. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.121.148002
BibTex
@article{Kranz2018Rheol-43723,
  year={2018},
  doi={10.1103/PhysRevLett.121.148002},
  title={Rheology of Inelastic Hard Spheres at Finite Density and Shear Rate},
  number={14},
  volume={121},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Kranz, W. Till and Frahsa, Fabian and Zippelius, Annette and Fuchs, Matthias and Sperl, Matthias},
  note={Article Number: 148002}
}
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