Moment theories for a -dimensional dilute granular gas of Maxwell molecules

2019/03/31 by Vinay Kumar Gupta
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Gas Dynamics and Kinetic Theory #Granular flow and fluidized beds #Kinetic theory #Maxwell's equations #Molecule #Moment (physics) #cond-mat.stat-mech

paper · pdf · doi:10.1017/jfm.2020.20

published as Journal of Fluid Mechanics, Vol. 888, Article no. A12, Pages A12-1 to A12-57, 2020 · 55 pages, 13 figures (accepted version)

openalex created_date 2019/03/11 · arxiv created 2020/01/19 · openalex publication_date 2020/02/06 · arxiv updated 2020/02/07 · openalex updated_date 2026/08/05

Abstract

Various systems of moment equations – consisting of up to -moment equations and its various subsystems. By performing a linear stability analysis in the vicinity of the homogeneous cooling state, the critical system size for the onset of instability is estimated through the considered Grad moment systems. The results on critical system size from the presented moment theories are found to be in reasonably good agreement with those from simulations.

Citations

• Maximum entropy moment systems and Galilean invariance
• Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
• Transport properties of dense dissipative hard-sphere fluids for arbitrary energy loss models
• Scaling, multiscaling, and nontrivial exponents in inelastic collision processes
• Velocity Distributions of Granular Gases with Drag and with Long-Range Interactions
• Collisional rates for the inelastic Maxwell model: application to the divergence of anisotropic high-order velocity moments in the homogeneous cooling state
• Transport coefficients of d-dimensional inelastic Maxwell models
• Multiscaling in inelastic collisions