Effect of Interstitial Fluid on Particle−Particle Interactions in Kinetic Theory Approach of Dilute Turbulent Fluid−Particle Flow

Two methods for solving coupled particle dynamics and flow field equations simultaneously by considering fluid-particle interactions to simulate two-phase flow are presented and compared. In many conditions, such as magnetic micro mixers and shooting high velocity particles in fluid, the fluid-particle interactions can not be neglected. In these cases it is necessary to consider fluid-particle interactions and solve the related coupled equations simultaneously. To solve these equations, suitable algorithms should be used to improve convergence speed and solution accuracy. In this paper two algorithms for solving coupled incompressible Navier-Stokes and particle dynamics equations are proposed and their efficiencies are compared by using them in a computer program. The main criterion that is used for comparison is the time they need to converge for a specific accuracy. In the first algorithm the particle dynamics and flow field equations are solved simultaneously but separately. In the second algorithm in each iteration for solving flow field equations, the particle dynamics equation is also solved. Results for some test cases are presented and compared. According to the results the second algorithm is faster than the first one especially when there is a strong coupling between phases.

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A kinetic theory approach to primary and secondary minimum coagulations and their combination

Journal of Colloid and Interface Science ◽

10.1016/0021-9797(79)90178-4 ◽

1979 ◽

Vol 72 (1) ◽

pp. 41-48 ◽

Cited By ~ 73

Author(s):

Abraham Marmur

Keyword(s):

Kinetic Theory ◽

Secondary Minimum ◽

Theory Approach

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Modelling in Applied Sciences: A Kinetic Theory Approach

Meccanica ◽

10.1023/b:mecc.0000005280.31315.97 ◽

2004 ◽

Vol 39 (2) ◽

pp. 187-188

Keyword(s):

Applied Sciences ◽

Kinetic Theory ◽

Theory Approach

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Shear Flow Analysis of Nanosize Particle Flow Behavior Using Kinetic Theory

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.277-279.939 ◽

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.

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