Hyperbolic‐Tangent Model Analysis of Permeate Flux for Ultrafiltration in Hollow‐Fiber Modules by Momentum Balance

Abstract

The predicting equation for the permeate flux of membrane ultrafiltration in hollow‐fiber modules, was derived from the complete momentum balance coupled with the application of hyperbolic‐tangent model. The correlation predictions obtained in present modeling study are based on the consideration of the effect of the loss of momentum transfer due to convection. It is found that the hyperbolic‐tangent model analysis for permeate flux confirms well with the ultrafiltration of polyvinyl alcohol aqueous solution in hollow fiber modules.

Keywords:

• Ultrafiltration
• hyperbolic‐tangent model
• momentum balance

Acknowledgments

The authors wish to express their thanks to the National Science Council of ROC for financial aid with the Grant No. NSC 94‐2214‐E‐02‐005.