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Granular gaseous flowsa kinetic theo...

Garzo, Vicente.

Granular gaseous flowsa kinetic theory approach to granular gaseous flows /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Granular gaseous flowsby Vicente Garzo.
Reminder of title:	a kinetic theory approach to granular gaseous flows /
Author:	Garzo, Vicente.
Published:	Cham :Springer International Publishing :2019.
Description:	xxxiv, 394 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Kinetic theory of gases.
Online resource:	https://doi.org/10.1007/978-3-030-04444-2
ISBN:	9783030044442$q(electronic bk.)

Granular gaseous flowsa kinetic theory approach to granular gaseous flows /
Garzo, Vicente.

Granular gaseous flowsa kinetic theory approach to granular gaseous flows /[electronic resource] :by Vicente Garzo. - Cham :Springer International Publishing :2019. - xxxiv, 394 p. :ill., digital ;24 cm. - Soft and biological matter,2213-1736. - Soft and biological matter..

Kinetic theory of inelastic hard spheres -- Homogeneous cooling states (HCS) -- Navier-Stokes transport coefficients for simple granular gases -- Navier-Stokes transport coefficients for multicomponent granular gases -- Non-Newtonian steady states for granular gases -- Inelastic Maxwell models for granular gases -- Transport coefficients for granular gas-solid flows.

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.

ISBN: 9783030044442$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04444-2doiSubjects--Topical Terms:

202205
Kinetic theory of gases.

LC Class. No.: QC175

Dewey Class. No.: 533.7

Granular gaseous flowsa kinetic theory approach to granular gaseous flows /
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490 1 $a Soft and biological matter, $x 2213-1736
505 0 $a Kinetic theory of inelastic hard spheres -- Homogeneous cooling states (HCS) -- Navier-Stokes transport coefficients for simple granular gases -- Navier-Stokes transport coefficients for multicomponent granular gases -- Non-Newtonian steady states for granular gases -- Inelastic Maxwell models for granular gases -- Transport coefficients for granular gas-solid flows.
520 $a 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.
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