Granular Gas Dynamics

Front Cover
Thorsten Pöschel, Nikolai V. Brilliantov
Springer Science & Business Media, Oct 16, 2003 - Science - 369 pages
0 Reviews

The contributions in this book address both the kinetic approach one using the Boltzmann equation for dissipative gases as well as the less established hydrodynamic description. The last part of the book is devoted to driven granular gases and their analogy with molecular fluids.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Asymptotic Solutions of the Nonlinear Boltzmann Equation for Dissipative Systems
3
2 Inelastic BGK Model
6
3 Basics of Inelastic Scattering Models
9
4 Analysis of Inelastic Scattering Models
18
5 Inelastic Maxwell Models
25
6 Conclusions and Perspectives
31
References
34
The Homogeneous Cooling State Revisited
37
5 Summary
220
References
222
Linearized Boltzmann Equation and Hydrodynamics for Granular Gases
227
2 Nonlinear Boltzmann Equation and the Homogeneous Cooling State
229
3 Linearized Boltzmann Equation
233
4 Eigenvalue Problem
236
5 NavierStokes and GreenKubo Expressions
241
6 Discussion
246

2 Setting Up the Problem
39
3 Heuristic Analysis
40
4 The NearMaxwellian Range of Speeds
45
5 Reduction of the Boltzmann Equation for the HCS
47
6 Concluding Remarks
53
References
61
The Inelastic Maxwell Model
65
One Dimension
67
Arbitrary Dimension
73
4 Impurities
80
5 Mixtures
86
6 Lattice Gases
88
7 Conclusions
90
References
92
Velocity Fluctuations in Cooling Granular Gases
95
2 Instabilities of the Homogeneous Cooling State
96
The Homogeneous Inelastic Maxwell Model
100
4 The OneDimensional Gas
103
5 The TwoDimensional Gas
107
6 Conclusions
115
References
116
SelfSimilar Asymptotics for the Boltzmann Equation with Inelastic Interactions
119
2 Isotropic Equation and Preliminary Result
121
Preliminaries
123
4 Complete Proof of the Conjecture
127
References
129
Kinetic Integrals in the Kinetic Theory of Dissipative Gases
131
2 A Simple Example
133
3 Granular Gases of Viscoelastic Particles
136
4 Evaluation of Kinetic Integrals
137
5 Computational Formula Manipulation to Evaluate Kinetic Integrals
145
6 Kinetic Integrals in the Kinetic Theory of Granular Gases
152
7 Conclusion
161
Kinetics of Fragmenting Freely Evolving Granular Gases
163
2 Model
164
3 Kinetics
166
4 Numerical Simulations
172
5 Discussion
181
References
183
Granular Hydrodynamics
185
Shock Waves in Granular Gases
187
2 OneDimensional Waves
190
3 TwoDimensional Waves
202
4 Waves in Vibrated Granular Media
207
References
248
Development of a Density Inversion in Driven Granular Gases
251
2 The Model Problem and Hydrodynamic Equations
253
3 Steady State Profiles and Density Inversion
257
LowMachNumber Flow
259
Early Times
262
6 Discussion
264
References
265
Kinetic Theory for Inertia Flows of Dilute Turbulent GasSolids Mixtures
267
2 GasSolids Interactions
269
3 Granular Transport Theory
271
4 Moment Method
275
5 Mixture Theory
278
6 Turbulence Modulation
280
7 Application
282
8 Comparisons between Predictions and Experiments
283
9 Conclusion
285
References
286
Driven Gases and Structure Formation
291
Driven Granular Gases
293
2 The Model
295
3 Mean Field Evolution Equations
298
4 Numerical Simulations
301
5 Simulations with Rotation
305
6 Analytical Study of the Velocity Distribution
307
7 Summary and Conclusions
311
References
314
Van der WaalsLike Transition in Fluidized Granular Matter
317
References
332
Birth and Sudden Death of a Granular Cluster
335
2 Flux Model
337
Hysteresis
338
4 Coarsening and Sudden Death
339
Antidiffusion
343
6 Extensions and Applications
345
References
346
Vibrated Granular Media as Experimentally Realizable Granular Gases
347
2 Description of the Simulations
348
3 Comparison of Simulation and Experiment
350
4 Effects of Clustering n 2 or 3
356
5 Conclusions
364
References
365
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information