• Grad-type fourteen-moment theory for dilute granular gases

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      https://www.ias.ac.in/article/fulltext/conf/001/01/0133-0143

    • Keywords

       

      Kinetic theory; moment method; granular gases; homogeneous cooling state; linear stability

    • Abstract

       

      Grad’s moment method is applied to derive the system of fully nonlinear 14-moment equations for dilute granular gases. The derived system of 14-moment equations is solved analytically in a quasilinear setting to obtain the homogeneous cooling state solution, and it is shown that the nonlinear terms of scalar fourth moment have practically no effect on Haff’s law. The linear stability of the homogeneous cooling state is analyzed through the 14-moment system by decomposing it into two independent longitudinal and transverse problems. The eigenmodes for the longitudinal system are compared with those obtained by an existing theory by Kremer and Marques [12].

      PACS Nos 47.57.Gc; 51.10.+y; 47.45.Ab

    • Author Affiliations

       

      VINAY KUMAR GUPTA1 PRIYANKA SHUKLA2

      1. SRM Research Institute and Department of Mathematics, SRM University, Chennai 603 203, India
      2. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
    • Dates

       
  • Indian Academy of Sciences
    Conference Series | News

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