U. Shavit et al., SOLUTE DIFFUSION-COEFFICIENT IN THE INTERNAL MEDIUM OF A NEW GEL BASED CONTROLLED-RELEASE FERTILIZER, Journal of controlled release, 37(1-2), 1995, pp. 21-32
The diffusion of solutes in a new controlled release device was invest
igated and in situ measurements of constant and variable diffusion coe
fficients were obtained. The new controlled release device consists of
a dry mixture of fertilizer and gel forming thickener contained in a
nonpermeable coating having at least one opening. Water penetrates int
o the device through the opening, forms a gel and dissolves the fertil
izer, which is then released by Fickian or non-Fickian diffusion mecha
nisms. Based on measurements of the penetration of water and the disso
lution of fertilizer, the pseudo-steady state transport equation was s
olved and the solute diffusion coefficient was calculated. The computa
tion of the diffusion coefficient was possible solely because a dual b
oundary condition exists at the dissolution front. An analytical solut
ion was developed assuming a constant diffusion coefficient. A numeric
al solution was obtained for the case where the diffusion coefficient
is concentration dependent. Two thickeners were tested: sodium carboxy
methylcellulose (Na-CMC) and sodium polyacrylamide (Na-PAM). It was fo
und that the solute diffusion mechanism in Na-CMC gels is Fickian-like
and can be approximated by a constant diffusion coefficient. The solu
te diffusion in Na-PAM gels showed non-Fickian behavior and was estima
ted numerically using the variable diffusion coefficient. For comparis
on with the theoretical solutions, a dialysis cell was used to simulat
e the conditions in the gel formed inside the device and to evaluate t
he effects of thickener concentration on the diffusion coefficient. Re
asonable agreement was found between the pseudo-steady state solutions
and the dialysis cell experimental results.