Assessing a hydrodynamic description for instabilities in highly dissipative, freely cooling granular gases

An intriguing phenomenon displayed by granular flows and predicted by kinetic-theory-based models is the instability known as particle "clustering," which refers to the tendency of dissipative grains to form transient, loose regions of relatively high concentration. In this work, we assess...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-04, Vol.85 (4 Pt 1), p.041303-041303, Article 041303
Main Authors: Mitrano, Peter P, Garzó, Vicente, Hilger, Andrew M, Ewasko, Christopher J, Hrenya, Christine M
Format: Article
Language:English
Subjects:
Cold Temperature
Computer Simulation
Energy Transfer
Gases - chemistry
Models, Chemical
Rheology - methods
Water - chemistry
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Summary:An intriguing phenomenon displayed by granular flows and predicted by kinetic-theory-based models is the instability known as particle "clustering," which refers to the tendency of dissipative grains to form transient, loose regions of relatively high concentration. In this work, we assess a modified-Sonine approximation recently proposed [Garzó, Santos, and Montanero, Physica A 376, 94 (2007)] for a granular gas via an examination of system stability. In particular, we determine the critical length scale associated with the onset of two types of instabilities--vortices and clusters--via stability analyses of the Navier-Stokes-order hydrodynamic equations by using the expressions of the transport coefficients obtained from both the standard and the modified-Sonine approximations. We examine the impact of both Sonine approximations over a range of solids fraction φ
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.85.041303