5 research outputs found
Note on a Micropolar Gas-Kinetic Theory
The micropolar fluid mechanics and its transport coefficients are derived
from the linearized Boltzmann equation of rotating particles. In the dilute
limit, as expected, transport coefficients relating to microrotation are not
important, but the results are useful for the description of collisional
granular flow on an inclined slope.
(This paper will be published in Traffic and Granular Flow 2001 edited by
Y.Sugiyama and D. E. Wolf (Springer))Comment: 15 pages, 0 figure. To be published in Traffic and Granular Flow 2001
edited by Y.Sugiyama and D. E. Wolf (Springer
Dynamical density functional theory for orientable colloids including inertia and hydrodynamic interactions
Over the last few decades, classical density-functional theory (DFT) and its
dynamic extensions (DDFTs) have become powerful tools in the study of colloidal
fluids. Recently, previous DDFTs for spherically-symmetric particles have been
generalised to take into account both inertia and hydrodynamic interactions,
two effects which strongly influence non-equilibrium properties. The present
work further generalises this framework to systems of anisotropic particles.
Starting from the Liouville equation and utilising Zwanzig's
projection-operator techniques, we derive the kinetic equation for the Brownian
particle distribution function, and by averaging over all but one particle, a
DDFT equation is obtained. Whilst this equation has some similarities with
DDFTs for spherically-symmetric colloids, it involves a
translational-rotational coupling which affects the diffusivity of the
(asymmetric) particles. We further show that, in the overdamped (high friction)
limit, the DDFT is considerably simplified and is in agreement with a previous
DDFT for colloids with arbitrary shape particles.Comment: dynamical density functional theory ; colloidal fluids ;
arbitrary-shape particles ; orientable colloid