J. Singh et Me. Weber, KINETICS OF ONE-DIMENSIONAL GEL SWELLING AND COLLAPSE FOR LARGE-VOLUME CHANGE, Chemical Engineering Science, 51(19), 1996, pp. 4499-4508
The kinetics of one-dimensional gel swelling and collapse for large vo
lume changes were described by a Fickian model which accounts for the
movement of the gel surface. For a constant mutual diffusion coefficie
nt, D-m, the fractional approach to equilibrium, F, is a function only
of dimensionless time, tau(0), and the equilibrium volume ratio, Phi.
Gel collapse is faster than swelling when D-m is the same for both. S
welling curves, the variation of F with root tau(0), were computed for
planar, cylindrical and spherical geometries with constant D-m. For s
labs the swelling curves are initially linear for all Phi values, whil
e for cylinders and spheres the swelling curves are linear for small P
hi values, but sigmoidal for Phi greater than or equal to 2.5. For 0.5
less than or equal to Phi less than or equal to 2, a simple method gi
ves experimental values of D-m which account for the movement of the g
el boundary. Experimental data for weakly ionic poly(N-isopropylacryla
mide) gel spheres in water (Phi = 15) and for non-ionic poly(N-isoprop
ylacrylamide) gel disks in water (Phi = 7.7) were well fitted by the m
odel. Copyright (C) 1996 Elsevier Science Ltd