Yc. Chang et al., THERMOPHORETIC DEPOSITION IN FLOW ALONG AN ANNULAR CROSS-SECTION - EXPERIMENT AND SIMULATION, Journal of aerosol science, 26(3), 1995, pp. 407-428
Thermophoretic deposition was investigated theoretically and experimen
tally using polydisperse submicron solid glass aerosols in an annular
flow with fixed thermal gradients between two cylinders. The governing
equations include the momentum and energy equations for the gas phase
and the general dynamic equation (GDE) for the particle phase. Aeroso
l mechanisms included in the GDE ale convection, Brownian diffusion an
d thermophoresis. The solutions were derived based on an implicit fini
te difference approach. Simulation results suggest that thermophoretic
deposition increases with increasing thermal gradient and deposition
distance, hut decreases with increasing particle size and how rate. Ex
perimental quantification of thermophoretic deposition was carried out
in a prototype thermal cell consisting of two concentric cylinders wi
th the capability of imposing a fixed thermal gradient between the cyl
inders. The measurements were with polydisperse solid glass aerosol us
ing two optical counters. The effect of thermal gradients, flow rates,
and cell orientation on thermophoretic deposition was examined. Therm
al gradients covered in this study ranged from 60 to 150 K cm(-1). It
was shown that thermophoretic deposition increases with increasing the
rmal gradient but decreases with increasing flow rate. Measurements wi
th a vertical cell were stable for large particles but unstable for sm
all particles. Comparison between experiments and simulations showed q
ualitative agreement with the theoretical model. The deposition in the
vertical mode was substantially higher than that predicted by the mod
el particularly at large thermal gradients. This may indicate the onse
t of instability. The measurements do not settle the dispute between t
he theories proposed by Derjaguin et al. (1976, J. Colloid Interface S
ci. 57, 451-461) and Talbot et al. (1980, J. Fluid Mech. 101, 737-758)
. However, the difference between theoretically predicted deposition e
fficiency is too small in comparison with the magnitude of fluctuation
in the aerosol source itself.