| We derive general expressions and present several examples for the phoretic forces and torques acting on a convex tracer particle, usually a sub-microsized aerosol particle, assumed to be small compared to the mean free path of the surrounding nonequilibrium gas. Point of departure is an expression of the stress tensor in terms of half-sphere integrals to be evaluated with the inhomogeneous velocity distribution function of the surrounding gas, more specifically, its approximation in terms of a finite number of moments. A worked out example covers Grad's 13 moment approximation in and out of the so-called hydrodynamic approximation. We implement an accommodation coefficient characterizing the collision process in order to derive the tracer particle's equation of motion in a form which offers the possibility for immediate numerical implementation, and the analytical exploration of the effect of particle shape and size on phoretic drift velocity. Explicit expressions for spherical, cylindrical, ellpsoidal, cuboidal, rodlike, and oblate particles are presented, discussed and successfully compared with the rarely available, previously treated special cases, thus supporting the unifying approach presented in this manuscript.
for LaTeX users @article{MKroger2006-125,
author = {M. Kr\"oger and M. H\"utter},
title = {Unifying kinetic approach to phoretic forces and torques for moving and rotating convex particles},
journal = {J. Chem. Phys.},
volume = {125},
pages = {044105},
year = {2006}
}
\bibitem{MKroger2006-125} M. Kr\"oger, M. H\"utter,
Unifying kinetic approach to phoretic forces and torques for moving and rotating convex particles,
J. Chem. Phys. {\bf 125} (2006) 044105 (15 pages).MKroger2006-125
M. Kr\"oger, M. H\"utter
Unifying kinetic approach to phoretic forces and torques for moving and rotating convex particles
J. Chem. Phys.,125,2006,044105 (15 pages) |
mk@mat.ethz.ch
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