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Granular Gaseous Flows - A Kinetic Theory Approach to Granular Gaseous Flows (Hardcover, 1st ed. 2019)
Loot Price: R4,603
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Granular Gaseous Flows - A Kinetic Theory Approach to Granular Gaseous Flows (Hardcover, 1st ed. 2019)
Series: Soft and Biological Matter
Expected to ship within 12 - 19 working days
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Back Cover Text: This book addresses the study of the gaseous state
of granular matter in the conditions of rapid flow caused by a
violent and sustained excitation. In this regime, grains only touch
each other during collisions and hence, kinetic theory is a very
useful tool to study granular flows. The main difference with
respect to ordinary or molecular fluids is that grains are
macroscopic and so, their collisions are inelastic. Given the
interest in the effects of collisional dissipation on granular
media under rapid flow conditions, the emphasis of this book is on
an idealized model (smooth inelastic hard spheres) that isolates
this effect from other important properties of granular systems. In
this simple model, the inelasticity of collisions is only accounted
for by a (positive) constant coefficient of normal restitution. 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
General
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