Wl. Holstein, PERFORMANCE OF GAS SATURATORS IN THE PRESENCE OF EXIT STREAM TEMPERATURE-GRADIENTS AND IMPLICATIONS FOR CHEMICAL-VAPOR-DEPOSITION SATURATORDESIGN, Chemical Engineering Science, 49(13), 1994, pp. 2097-2105
When a carrier ps is passed through a ps saturator at temperature T0 c
ontaining liquid or solid reagent under conditions leading to its satu
ration with an equilibrium vapor pressure p-degrees of the reagent, an
d then into a tube where the exit stream temperature is increased to T
(infinity), the downstream partial pressure of reagent, p(infinity), m
ay be less than p-degrees due to thermal diffusion of the reagent driv
en by the temperature gradient. The mass transfer process has been mod
eled for two cases: (1) a linear temperature gradient over a tube leng
th L2 and (2) a tube length L1 of constant temperature T0 followed by
a tube length L2 with a linear temperature gradient. Solution of case
(1) is defined by the dimensionless Peclet number Pe2 = vL2/D and a di
mensionless ''thermal diffusion number'' Td = alphaln(T(infinity)/T0),
where v is average ps velocity in the tube, D is the reagent gas-carr
ier gas binary diffusion coefficient, and alpha is the reagent gas-car
rier gas thermal diffusion factor. Solution of case (2) is characteriz
ed by Td, Pe2, and Pe1 = vL1/D. Chemical vapor deposition processes us
ed in the fabrication of electronic and optoelectronic semiconductor d
evices require the reproducible control of reagent partial pressures t
o better than +/-0.4%. Gas saturators for these processes are commonly
operated under conditions where p(infinity) is dependent on both flow
rate and the downstream temperature profile, and where p(infinity) ca
n be as much as 10% lower than p-degrees. The reproducible control of
reagent partial pressure is best brought about by designing the satura
tor system so that Pe1 > 10, conditions leading to p(infinity) congrue
nt-to p-degrees independent of flow rate or downstream temperature.