Y. Ohkubo et Y. Takahashi, LIFTING VELOCITY OF AN INDUCTION-CHARGED ALUMINA PARTICLE IN HORIZONTALLY SET PARALLEL-PLATE ELECTRODES, Kagaku kogaku ronbunshu, 22(5), 1996, pp. 1222-1229
The lifting velocity of an induction-charged particle in horizontally
set parallel plate electrodes was studied by both theoretical and expe
rimental approaches. In the theoretical analysis, a momentum conservat
ion equation of a particle, the first order ordinary differential equa
tion in a lagrangian frame work, was solved to obtain the velocity fie
ld of particles by using a method of the fourth order Runge-Kutta. The
reafter, a numerical integration of the velocity field was performed t
o define locations of particles. For the experiment, by using alumina
powders with A 4 paper-sized electrodes the maximum lifting height of
a particle above the upper electrode was measured to estimate the lift
ing velocity of a particle in the first few seconds after high voltage
was supplied, and a laser doppler velocity meter was used to measure
the velocity fields of particles in the subsequent period when particl
es were circulating between the two electrodes. The particle velocitie
s obtained by the theoretical and the experimental approaches were app
roximately identical. A simple formula for the prediction of particle'
s velocity field was derived by using a curve to fit the results of th
e numerical simulations. This could make relations between both the Re
ynolds number on the basis of a particle and other dimensionless numbe
rs consisting of both external forces and locations. The predictions w
ith the formula showed that in the case of a small-sized particle, the
velocity of particles increases with the increase in particle diamete
r, because of viscous force dominating and that in the case of a large
-sized particle, the velocity decreased with the increase of the parti
cle diameter because of gravity force dominating.