JOURNAL
OF COLLOID SCIENCE 20, 585-601 (1965)
CHARGING
AND DECAY OF MONODISPERSED AEROSOLS IN
THE
PRESENCE OF UNIPOLAR ION SOURCES
Kenneth
T. WWtby, Benjamin Y. H. Liu, and Carl M. Peterson
Mechanical
Engineering Department, University of Minnesota,
Minneapolis
14, Minnesota
Received
February 17, 1,965
INTRODUCTION
The effects of airborne
electric charge carried either on small ions or on aerosol particles
has been of interest to meteorologists for a long time. More recently
this subject has interested the medical profession because of the
possible health effects of airborne charge. Aerosol technologists
also have an interest in aerosol charge because of its effect on
aerosol deposition, on air cleaner efficiency, and on the general
behavior of aerosols.
Natural concentrations of
ions and charged aerosol particles are on the order of a few hundred
to a few thousand per cubic centimeter. At these low concentrations
the effects of the electrical charge are usually negligible, but at
the higher concentrations encountered when generating artificial
aerosols or downstream of electrical air cleaning systems, the
net space charge may cause high charge concentration gradients,
strong electric fields, and significant precipitation of ions and
aerosols.
The physical behavior of
uniform clouds of charged ions or particles was originally studied by
Townsend (1), and later by Fuks
and Petryanov (2), Wilson (3),
Foster (4), Dunskii and Kitaev (5), and Pich (6). These workers
concerned themselves principally with the case where the charge
concentration was uniform throughout a space. However, the assumption
of uniform charge concentration is not valid when ions are produced
continuously in a space by concentrated ion sources a case
potentially of more technological importance.
To provide a background for
the presentation of the results obtained in the present study the
previous work is briefly reviewed below.
SUMMARY
AND CONCLUSIONS
Results
of experimental and theoretical studies were presented for the decay
of aerosols in the presence of a continuous source of ions. The test
aerosols used in the experimental studies were natural atmospheric
contamination and generated aerosols. The generated aerosols were
solid, spherical, monodispersed, and initially electrically neutral.
These aerosols were generated and tested in sizes varying from a mass
median diameter of 0.028 to 3.6 mm
having a geometrical standard deviation of 1.1 to 1.67.
The
aerosol decay experiments were conducted in a 2000 cubic foot
rectangular room with a point source of unipolar ions located at the
center of the room. Particle charge and concentration measurements
were made and data were presented for three types of unipolar ion
sources: a sonic jet ion generator, a free needle, and a
commercial ionizer. Ions of both polarity were studied while the free
ion current varied from 0.1 to 3.6mA.
The electrical charge
measured on the particles was somewhat greater for the particles
exposed to negative ions than for those exposed to positive ions. The
charge measured on the particles with Dp < 1mm
and exposed to an ion output of at least 2.7mA
showed good agreement with
White's diffusion charging equation for Nt = 107. Charge
on particles where Dp > 1mm
was slightly less than that predicted by White's equation.
The
experimental half lives of the decaying aerosols ranged from a
minimum of 5.5 minutes for the free needle and a particle size
of 0.26mm mmd to a maximum of 58
minutes for a commercial ionizer and a particle Size of 0.26mm
mmd. The performance of the sonic jet ionizer was intermediate
between these two extremes. These results indicate that a continuous
source of ions
located in a space can precipitate a significant quantity of aerosol,
and in some conditions it may be an effective means of air cleaning.
The
experimental half lives of the decaying aerosols were compared
with values predicted by theory. Generally good agreements between
theory and data were obtained for the sonic jet ionizer. The
differences between theory and data for the free needle and the
commercial ionizer were due to the fact that the experimental
conditions did not approximate those assumed in the theory.
NOMENCLATURE
C
= Cunningham correction, dimensionless.
Dp=
particle diameter, cm.
E
= electric field, statvolt/cm
E,,=
electric field at surface of wall enclosing space, statvolt/eni.
n
= ion concentration, number/cm.'.
n0=
initial ion concentration, number/cm.3.
np=
particle concentration, number/cm
Np0=
initial particle concentration, number/cm.'.
q
= electron charge, 4.80 X 10 'o stat coul.
Qp=
charge on particle, stat coul.
Q
= ion generation rate, statamperes
r
= radius, cm.
rw
= room radius, cm.
t
= time, seconds.
t1/2=
half life, seconds.
v
= ion velocity, cm./see.
V
= potential, statvolts.
Z
= ion mobility, cm2 /statvolt sec.
Zp
= particle mobility, cm2/statvolt sec.
mg
= fluid viscosity, poise.
REFERENCES
1. TOWNSEND, J., "Application
of Diffusion to Conducting Gases," Phil. Mag. 45, 471 (1898).
2.
FUKS, N., AND PETRYANOV, L, ZHFKH 7, 312 319
(1936).
3.
WILSON, 1. B., "The Deposition of Charged Particles in
Tubes", with Reference to Retention
of Therapeutic Aerosols in the Human Lung," J. Colloid Sci. 2,
771 776 (1947).
4.
FOSTER, W. W, "Deposition of Unipolar Charged Aerosol Particles
by Mutual Repulsion Bril. J. Appl. Phys. 11 ZW13 Q959).
5.
DUNSKII, V. F., AND KITAEV, A. V., "Precipitation of a
Unipolarly Charged Aerosol in an Enclosed Space," Colloid J.
(U.S.S.R.) 22, 167 175 (1960).
6.
PICH, J., "Zur Theorie der Elektrostatischen Zerstreuung
Monodisperser Aerosole," Staub 22, 15 17 (1962).
7.
FuNs~ N. A., "The Mechanics of Aerosols," English
translation by E. Lachowiez. CWL Special Publ. 4 12 (1955).
8.
WHITBY, K. T., and McFARLAND, A. R., "Decay of Unipolar Small
Ions and Homogeneous Aerosols in Closed Spaces and Flow Systems,"
Proc. Intern. Conf. Air, pp. VII 1 30, Franklin
Inst., Oct. 16~17 (1961).
9.
WHITBY, E. T., McFARLAND, A. R., and LUNDGREN, D. A., "Generator
for Producing High Concentrations of Small lons. Technical Report No.
12 by Mech. Eng. Dept., Univ. of Minnesota to U. S. Public Health
Service, July 1960.
10.
HICKS, W. W., and BECKETT, J. C., "The Control of Air
Ionization and its Biological Effects," Trans. Am. Inst.
Elec. Engrs . 30, Part 1, 108 111 (1957).
11.
Bulletin on Philco Model ICF 6 Ion Counter, Philco Corp., 4700
Wessahickson Avenue, Philadelphia 44, Pennsylvania.
12.
HURI), F. K.,and MULLINS, J. C., J. Colloid Sci. 17,
91 (1962).
13.
WHITBY, K. T., and PETERSON, C. Xl., "Electrical "Neutralization
and Particle Size Measurement of Dye Aerosols," Ind. Eng.
Chem. Fundamentals 4, 66 72 (Feb., 1965).
14.
WHITE, H. J., "Particle Charging in Electrostatic
Precipitation," Trans. Am. Inst. Elec. Engrs. 70, 1186 1191
(1951).
discussion
T. GILLESPIE ( Dow Chemical Company, Midland, Michigan):
Did you observe the
large
scale movements observed by Whytlaw Gray in his pioneer work on
unipolar smokes?
K. T. WHITBY No.
This may be due to the fact that we worked with spherical parti-
cles and that we had
forced circulation in the aerosol chamber. The measurements of
aerosol concentration along
a room radius showed no variation with radius within
the accuracy of the
measurements.