| Class of dilute granular Couette flows with uniform heat flux. | |
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MedLine Citation:
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PMID: 21405838 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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In a recent paper [F. Vega Reyes et al., Phys. Rev. Lett. 104, 028001 (2010)] we presented a preliminary description of a special class of steady Couette flows in dilute granular gases. In all flows of this class the viscous heating is exactly balanced by inelastic cooling. This yields a uniform heat flux and a linear relationship between the local temperature and flow velocity. The class (referred to as the LTu class) includes the Fourier flow of ordinary gases and the simple shear flow of granular gases as special cases. In the present paper we provide further support for this class of Couette flows by following four different routes, two of them being theoretical (Grad's moment method of the Boltzmann equation and exact solution of a kinetic model) and the other two being computational (molecular dynamics and Monte Carlo simulations of the Boltzmann equation). Comparison between theory and simulations shows a very good agreement for the non-Newtonian rheological properties, even for quite strong inelasticity, and a good agreement for the heat flux coefficients in the case of Grad's method, the agreement being only qualitative in the case of the kinetic model. |
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Authors:
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Francisco Vega Reyes; Vicente Garzó; Andrés Santos |
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Publication Detail:
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Type: JOURNAL ARTICLE Date: 2011-2-14 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 83 ISSN: 1550-2376 ISO Abbreviation: - Publication Date: 2011 Feb |
Date Detail:
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Created Date: 2011-3-16 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: - |
Other Details:
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Languages: ENG Pagination: 021302 Citation Subset: - |
Affiliation:
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Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain. |
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