M. Atiqullah et al., EFFECTS OF KINETIC AND TRANSPORT PARAMETERS ON ACCELERATED MIGRATION OF REACTIVE ADDITIVE FROM PLASTIC SHEET, Polymer engineering and science, 33(24), 1993, pp. 1644-1652
The effects of kinetic parameters Hatta number Ha and phi, and transpo
rt parameters Biot number Bi and psi on the migration of a reactive ad
ditive have been modeled. The convective boundary layer can be conside
red inert to fully reactive for Ha --> 0 to 2, respectively. The migra
tion is controlled by diffusion. reaction rate, equilibrium partitioni
ng of the migrant between the plastic film and the solvent, and bounda
ry layer resistance, depending on the time scale and values of the abo
ve parameters. For a nonreactive boundary layer, at high Bi, migration
is initially diffusion-controlled but becomes reaction-rate controlle
d at later times. However, under similar conditions, a slight increase
in the reactivity of the boundary layer immediately changes the trans
port process from diffusion-controlled to reaction rate-controlled. Wi
th fur-ther increase in reactivity, migration spontaneously reaches eq
uilibrium, At low Bi, equilibrium partitioning and reactive depletion
of the migrant in the fluid phase change predominantly to boundary lay
er-controlling mass transport phenomenon. For a given sampling time (t
au = 1.0), the migration increases with the increase in Bi only for a
reactive boundary layer. At low Bi and (tau = 1.0), migration decrease
s only up to phi is-approximately-equal-to 0.3 for nonreactive to part
ially reactive boundary layer, but for inter-mediate and high Bi, phi
and Ha do not influence migration.