Kinetic theory of dusty plasmas II. Dust–plasma particle collision integrals

2000 ◽  
Vol 7 (2) ◽  
pp. 554-563 ◽  
Author(s):  
V. N. Tsytovich ◽  
U. de Angelis
Keyword(s):  
Kinetic Theory ◽  
Dusty Plasmas ◽  
Particle Collision ◽  
Plasma Particle ◽  
Collision Integrals ◽  
Dust Plasma

Kinetic theory of dusty plasmas. III. Dust–dust collision integrals

2001 ◽  
Vol 8 (4) ◽  
pp. 1141 ◽  
Author(s):  
V. N. Tsytovich ◽  
U. de Angelis
Keyword(s):  
Kinetic Theory ◽  
Dusty Plasmas ◽  
Collision Integrals

Shear Flow Analysis of Nanosize Particle Flow Behavior Using Kinetic Theory

2005 ◽  
Vol 277-279 ◽  
pp. 939-944
Author(s):  
Hae Ryung Kim ◽  
Jaihyun Seu ◽  
Hamid Arastoopour
Keyword(s):  
Shear Flow ◽  
Kinetic Theory ◽  
Flow Behavior ◽  
Flow Analysis ◽  
Particle Diameter ◽  
Particle Flow ◽  
Particle Collision ◽  
Simple Shear Flow ◽  
Particle Force ◽  
Nanosize Particle

Nanosize particle flow is significantly affected by inter-particle force. Due to the inter-particle force, the most significant characteristic of nanosize particle flow may become the formation of agglomerates or clusters which considerably affects the flow patterns. The formation of agglomerates or clusters results in a reduction in the number and an increase in the size of particles, both of which directly affect the frequency of inter-particle collisions and, in turn, the particle phase properties such as viscosity and pressure, as well as gas/particle drag force in gas/particle flow systems. In this present work, we focus our attention on the verification of nanosize particle flow behavior due to the formation of agglomerates or clusters under different fluctuation of flow and inelasticity of particle collision. By extending the application of the cohesive model using kinetic theory to nanosize particle flow system, we performed the homogeneous simple shear flow analysis using various fluctuation energy and restitution coefficient. The predicted flow properties, such as particle diameter growth, agreed well with the expected trends.

Kinetic theory of dusty plasmas. V. The hydrodynamic equations

2004 ◽  
Vol 11 (2) ◽  
pp. 496-506 ◽  
Author(s):  
V. N. Tsytovich ◽  
U. de Angelis
Keyword(s):  
Kinetic Theory ◽  
Dusty Plasmas ◽  
Hydrodynamic Equations

Kinetic theory of dusty plasmas. IV. Distribution and fluctuations of dust charges

2002 ◽  
Vol 9 (6) ◽  
pp. 2497-2506 ◽  
Author(s):  
V. N. Tsytovich ◽  
U. de Angelis
Keyword(s):  
Kinetic Theory ◽  
Dusty Plasmas

scholarly journals Modelling an isolated dust grain in a plasma using matched asymptotic expansions

2007 ◽  
Vol 73 (5) ◽  
pp. 793-810 ◽  
Author(s):  
N. ARINAMINPATHY ◽  
J. E. ALLEN ◽  
J. R. OCKENDON
Keyword(s):  
Asymptotic Expansions ◽  
Dusty Plasmas ◽  
Matched Asymptotic Expansions ◽  
Number Density ◽  
Plasma Parameters ◽  
Stationary Plasma ◽  
Dust Grain ◽  
Analytical Expressions ◽  
Single Set ◽  
Dust Plasma

AbstractThe study of dusty plasmas is of significant practical use and scientific interest. A characteristic feature of dust grains in a plasma is that they are typically smaller than the electron Debye distance, a property which we exploit using the technique of matched asymptotic expansions. We first consider the case of a spherical dust particle in a stationary plasma, employing the Allen–Boyd–Reynolds theory, which assumes cold, collisionless ions. We derive analytical expressions for the electric potential, the ion number density and ion velocity. This requires only one computation that is not specific to a single set of dust–plasma parameters, and sheds new light on the shielding distance of a dust grain. The extension of this calculation to the case of uniform ion streaming past the dust grain, a scenario of interest in many dusty plasmas, is less straightforward. For streaming below a certain threshold we again establish asymptotic solutions but above the streaming threshold there appears to be a fundamental change in the behaviour of the system.

Sign in / Sign up

Export Citation Format

Share Document