Kinetic theory for binary mixtures of smooth, nearly elastic spheres

1989 ◽  
Vol 1 (12) ◽  
pp. 2050-2057 ◽  
Author(s):  
J. T. Jenkins ◽  
F. Mancini
Keyword(s):  
Kinetic Theory ◽  
Binary Mixtures

A simple kinetic theory for granular flow of binary mixtures of smooth, inelastic, spherical particles

1986 ◽  
Vol 63 (1-4) ◽  
pp. 45-60 ◽  
Author(s):  
M. Farrell ◽  
C. K. K. Lun ◽  
S. B. Savage
Keyword(s):  
Kinetic Theory ◽  
Binary Mixtures ◽  
Granular Flow ◽  
Spherical Particles

The evolution of segregation in dense inclined flows of binary mixtures of spheres

2015 ◽  
Vol 782 ◽  
pp. 405-429 ◽  
Author(s):  
Michele Larcher ◽  
James T. Jenkins
Keyword(s):  
Numerical Simulation ◽  
Binary Mixture ◽  
Kinetic Theory ◽  
Binary Mixtures ◽  
Granular Temperature ◽  
Particle Segregation ◽  
Physical Experiments ◽  
Dense Flows ◽  
Mixture Velocity

We consider the evolution of particle segregation in collisional flows of two types of spheres down rigid bumpy inclines in the absence of sidewalls. We restrict our analysis to dense flows and use an extension of kinetic theory to predict the concentration of the mixture and the profiles of mixture velocity and granular temperature. A kinetic theory for a binary mixture of nearly elastic spheres that do not differ by much in their size or mass is employed to predict the evolution of the concentration fractions of the two types of spheres. We treat situations in which the flow of the mixture is steady and uniform, but the segregation evolves, either in space or in time. Comparisons of the predictions with the results of discrete numerical simulation and with physical experiments are, in general, good.

scholarly journals MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS

2010 ◽  
Vol 20 (07) ◽  
pp. 1179-1207 ◽  
Author(s):  
NICOLA BELLOMO ◽  
ABDELGHANI BELLOUQUID ◽  
JUAN NIETO ◽  
JUAN SOLER
Keyword(s):  
Kinetic Theory ◽  
Asymptotic Analysis ◽  
Binary Mixtures ◽  
Biological Tissue ◽  
Cellular Interactions ◽  
Biological Functions ◽  
Active Particles ◽  
Tissue Models

This paper deals with the derivation of macroscopic tissue models from the underlying description delivered by a class of equations that models binary mixtures of multicellular systems by methods of the kinetic theory for active particles. Cellular interactions generate both modification of the biological functions and proliferative and destructive events. The asymptotic analysis deals with suitable parabolic and hyperbolic limits, and is specifically focused on the modeling of the chemotaxis phenomena.

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