The author of this monograph uses a kinetic theory description (which can be considered as a mesoscopic description between statistical mechanics and hydrodynamics) to study granular flows from a microscopic point of view. In particular, the inelastic version of the Boltzmann and Enskog kinetic equations is the starting point of the analysis. Conventional methods such as Chapman-Enskog expansion, Grad's moment method and/or kinetic models are generalized to dissipative systems to get the forms of the transport coefficients and hydrodynamics. The knowledge of granular hydrodynamics opens up the possibility of understanding interesting problems such as the spontaneous formation of density clusters and velocity vortices in freely cooling flows and/or the lack of energy equipartition in granular mixtures.
Some of the topics covered in this monograph include:
- Navier-Stokes transport coefficients for granular gases at moderate densities
- Long-wavelength instability in freely cooling flows
- Non-Newtonian transport properties in granular shear flows
- Energy nonequipartition in freely cooling granular mixtures
- Diffusion in strongly sheared granular mixtures
- Exact solutions to the Boltzmann equation for inelastic Maxwell models
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