SIMPLIFIED OHYA-SOURIRAJAN ANALYSIS FOR PREDICTING PERMEATOR PERFORMANCE

One of the earliest transport models for membranes was given by Kimura and Sourirajan [1] in 1967. Their two-parameter model, termed the pre ferential sorption-capillary flow model, characterized the performance of membranes for many solution systems. Ohya et al. [2,3] subsequentl y adopted this model to solve for the separation performance of commer cial RO permeators. However, the resulting system of solution consists of eight equations, two of which require numerical integration that m ust be solved simultaneously in order to obtain the non-dimensional tr ansport characteristics, lambda and theta. In this paper a simplificat ion is introduced in the integral expression leading to an analytical solution. For conditions typical of seawater desalination operations, it is shown that the discrepancy introduced in the integrals as a resu lt of the simplification is much less than 1.0%, while for the concent ration of fruit juice, the resulting error is about 2.0%.