Flux decline during stirred UF over a long time of operation can be cl
assified into short and long time domains. In the short time, the decl
ine in flux is basically osmotic pressure limited and this decline is
extremely rapid. The limiting flux for the osmotic pressure controlled
domain is obtained by successive substitution technique. This techniq
ue includes the variations of properties with concentrations. A modifi
ed Sherwood number coorelation for determining the mass transfer coeff
icient is proposed for laminar flow in a stirred cell. The long term f
lux decline can be modeled semi-empirically by a two parameter model.
One of these, the steady state polarized layer resistance, can be corr
elated to the operating conditions while the other constant of the mod
el is found to be a characteristic of the solute only. The simplistic
model developed here to account the flux decline during UF may be usef
ul to the process engineers for design purposes.