Granular Gaseous Flows (eBook)

Vicente Garzó is Professor of Theoretical Physics in the Department of Physics at the University of Extremadura. He graduated in Physics from the University of Valencia (Spain) in 1982 where he also obtained a PhD in Physics in 1986. Then he spent two years at the University of Sevilla (Spain) as a Teaching assistant. Next he moved to the University of Extremadura (Spain) in 1998 where he got a permanent position. He has performed short and long stays as Visiting Faculty at the Instituto de Investigación en Materiales (UNAM, México), the University of Florida (USA), the Université Paris-Sud (France), the University of Colorado (USA), la Universidad de Chile (Chile), and the Yukawa Institute for Theoretical Physics (Kyoto University, Japan). He is a reputed specialist in kinetic theory. During the first years of his career, his research was mainly focused on the study of nonlinear transport properties using the Boltzmann kinetic equation and related kinetic models. These efforts were partially collected in a monograph co-authored with A. Santos (Kinetic Theory of Gases in Shear Flows: Nonlinear Transport) and published by Kluwer Academic Publishers in 2003. In the last eighteen years, he has extended his background in kinetic theory by applying this tool to the study of the so-called granular rapid flows (granular matter under rapid flow conditions), collaborating in some of the most important advances in the field. For instance, he has worked on the generalization of the Chapman-Enskog method and kinetic modeling to granular gases, the derivation of explicit forms for the Navier-Stokes transport coefficients for mono- and multicomponent systems, as well as several applications of kinetic theory (segregation, instabilities in undriven and driven granular systems,..) to granular flows. He has published  156 papers in regular international journals and has delivered 20 invited lectures in several conferences and workshops. He is now member of the editorial board of the international journal "Granular Matter". Finally, he has also served as Reviewer in different external agencies [ANEP (Spain), AGAUR (Catalonia), NOW (Netherlands), FONDECYT (Chile), ANPCT (Argentina), FWO (Flanders), COST,…] and has been the Coordinator of ANECA (Spanish National Agency) for FPU Grants during the years 2012-2014 in the field "Physics and Space Sciences".  

1. Kinetic theory of inelastic hard spheres.- Introduction.- Enskog kinetic equation for granular gases at moderate densities . Macroscopic balance equations.- Chapman-Enskog expansion.- Enskog kinetic equation for granular mixtures. Low-density regime.- Kinetic models for simple and multicomponent granular gases.- 2. Homogeneous cooling states (HCS).- One-particle distribution function: scaling solution.- Sonine polynomial expansion: fourth cumulant of the distribution function.- Granular mixtures: energy nonequipartition.- Fourth cumulant of the distribution function of each species.- Driven granular mixtures.- 3. Navier-Stokes transport coefficients for simple granular gases.- Navier-Stokes hydrodynamics equations.- First-order Chapman-Enskog solution. Integral equations defining the transport coefficients.- Sonine polynomial approximations.- Shear and bulk viscosities coefficients.- Thermal conductivity coefficient and the Dufour-like transport coefficient.- Modified Sonine approximation.- Stability of the linearized hydrodynamic equations. Dispersion relations.- 4. Navier-Stokes transport coefficients for multicomponent granular gases.- Navier-Stokes hydrodynamics equations for granular mixtures.- Sonine polynomial approximations.- Transport coefficients. Comparison with computer simulations.- Onsager’s reciprocal relations.- Linearized hydrodynamic equations and stabiltiy.- Einstein relation.- Thermal diffusion segregation.- 5. Non-Newtonian steady states for granular gases.- Simple shear flow. Rheological properties.- Energy nonequipartition under shear flow.- Nonlinear Couette flows. Grad’s moment method and kinetic models.- Transport near steady shear flow states.- Stability. 6. Inelastic Maxwell models for granular gases.-Introduction.- Collisional moments.- Navier-Stokes hydrodynamic description.- Uniform shear flow (USF).- Small spatial perturbations around the USF.- Intruder in a granular sheared mixture: a new non-equilibrium phase transition.- 7. Transport coefficients for granular gas-solid flows.- Introduction.- Enskog kinetic equation for monodisperse gas-solid flows.- Navier-Stokes transport coefficients. Stability.- Non-Newtonian hydrodynamics for a dilute granular suspension under USF.- Boltzmann kinetic equation for multicomponent gas-solid flows.- Stability.-Onsager’s reciprocal relations.