Normal stress differences and beyond-Navier-Stokes hydrodynamics

A recently proposed beyond-Navier-Stokes order hydrodynamic theory for dry granular fluids is revisited by focussing on the behaviour of the stress tensor and the scaling of related transport coefficients in the dense limit. For the homogeneous shear flow, it is shown that the eigen-directions of th...

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Bibliographic Details
Published in:EPJ Web of conferences 2017-01, Vol.140, p.11014
Main Authors: Alam, Meheboob, Saha, Saikat
Format: Article
Language:English
Subjects:
Dilution
Fluid dynamics
Fluid flow
Hydrodynamics
Navier-Stokes equations
Normal stress
Scaling
Shear flow
Stokes law (fluid mechanics)
Transport properties
Vorticity
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Summary:A recently proposed beyond-Navier-Stokes order hydrodynamic theory for dry granular fluids is revisited by focussing on the behaviour of the stress tensor and the scaling of related transport coefficients in the dense limit. For the homogeneous shear flow, it is shown that the eigen-directions of the second-moment tensor and those of the shear tensor become co-axial, thus making the first normal stress difference (N1) to zero in the same limit. In contrast, the origin of the second normal stress difference (N2) is tied to the ‘excess’ temperature along the mean-vorticity direction and the imposed shear field, respectively, in the dilute and dense flows. The scaling relations for transport coefficients are suggested based on the present theory.
ISSN:2100-014X
2101-6275
2100-014X
DOI:10.1051/epjconf/201714011014