Nn. Ljepojevic et W. Balachandran, DEPOSITION OF CHARGED-PARTICLES IN CYLINDRICAL-TUBES BY IMAGE FORCE -A NEW APPROACH, Journal of aerosol science, 24(5), 1993, pp. 619-628
The deposition onto the wall of a cylindrical tube of charged particle
s that are suspended in a fluid filling or flowing through the tube is
formulated in terms of an initial value problem to an appropriate con
tinuity equation. An exact analytical solution is found in an implicit
function form and explicit approximate formulae are derived. Our form
ulation has an advantage over a previous approach by Yu in that it giv
es as a result not only the deposition efficiency, but also the radial
profile of the concentration of charged particles as a function of ti
me. We demonstrate that the two approaches give the same formula for t
he deposition efficiency. We also demonstrate the equivalence between
the stationary initial value problem and the steady state flow problem
.