Study of Pressure Retarded Osmosis Process in Hollow Fiber Membrane: Cylindrical Model for Description of Energy Production

A new mathematical model was developed to predict the cylindrical effect of membrane performance in pressure retarded osmosis process. The transport layers (the draw side boundary and porous membrane) were divided into very thin sublayers with constant mass parameters, among others a radius every sublayer. obtained second-order differential balance equations solved analytically, parameters written for algebraic equation system involving 2N then determinant solution. It shown that properties, water permeability (A), salt (B), structural parameter (S) operating conditions (inlet solute concentration transfer coefficient) affect flux strongly, thus performance, due caused by variable surface volume sublayers. This significantly depends on lumen radius. lower means larger change internal surface/volume ΔR thickness. predicted results correspond flat-sheet layer at ro = 10,000 μm. At end this manuscript, calculated rates compared those measured. stated curvature using capillary must not be left out consideration when applying hollow fiber modules their relatively low presented provides more precise prediction case membranes.