Зарегистрироваться
Восстановить пароль
FAQ по входу

Garzó V. Granular Gaseous Flows: A Kinetic Theory Approach to Granular Gaseous Flows

  • Файл формата pdf
  • размером 12,00 МБ
  • Добавлен пользователем
  • Отредактирован
Garzó V. Granular Gaseous Flows: A Kinetic Theory Approach to Granular Gaseous Flows
Spinger, 2019. — 419 p. — (Soft and Biological Matter). — ISBN 978-3-030-04443-5.
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
Table of contents
Kinetic Theory of Inelastic Hard Spheres
Homogeneous Cooling State
Navier–Stokes Transport Coefficients for Monocomponent Granular Gases. I. Theoretical Results
Navier–Stokes Transport Coefficients for Monocomponent Granular Gases. II. Simulations and Applications
Navier–Stokes Transport Coefficients for Multicomponent Granular Gases. I. Theoretical Results
Navier–Stokes Transport Coefficients for Multicomponent Granular Gases. II. Simulations and Applications
Non-Newtonian Steady States for Granular Gases
Transport Around Steady Simple Shear Flow in Dilute Granular Gases
Inelastic Maxwell Models for Dilute Granular Gases
Transport Properties for Driven Granular Gases
  • Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.
  • Регистрация