Precise analytical model of hollow fiber reverse osmosis modules

Study of mass transfer characteristics for a hollow fiber reverse osmosis module

“…Meanwhile another author has shown that the NC Model which considered pressure drop in the fiber bore, however, neglected this concentration polarization could not show good fit with actual module performance data from experimental results from actual modules operated in a wide-ranged of sodium chloride concentration from low-concentration to high-concentration of seawater by Sekino [6].…”

“…Tel. : +81 6 6348 3360; fax: +81 6 6348 3288. polarization and the pressure drop in the fiber bore was considered, has already been presented as an analytical model of a hollow fiber reverse osmosis module, and the validity has been proven from verification by a wide range of actual performance data on a hollow fiber reverse osmosis module by Sekino et al [5,6], However, this analytical model contained the anomaly that the simulated boundary layer thickness is larger than the apparent length of the clearance among hollow fibers. Here, we propose a hollow Fiber Group Model (FGModel) that is consistent with the features of the hollow fiber arrangement of the practical reverse osmosis module.…”

The analysis and design of a both open ended hollow fiber type RO module

“…We devised the analysis model called a frictionconcentration-polarization model (FCP model) for the SOE structure hollow fiber module by previous study and reported it in detail. [12][13][14][15] Performance analysis of the BOE element was conducted by using this analysis method of SOE element as a base. Since the details of the FCP model were already reported, an outline is shown below.…”

Prandtl model for concentration polarization and osmotic counter-effects in a 2-D membrane channel

“…In other 1-D studies, the material balance is solved numerically without taking the velocity field into account, the hydrodynamic effects being limited to pressure drop along the membrane, which is generally described by the Hagen-Poiseuille or the Ergun equations [Sekino (1993), Sekino (1995), Chatterjee et al (2004), Senthilmurugan et al (2005)]. Material balances have also been considered numerically with the assumption of a negligible pressure drop by Malek et al [Malek et al (1994)] who introduced a simple model based on a lumped transport parameter approach combined with the solution-diffusion model.…”