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Membrane and Desalination Technologies - TCE Moodle Website

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306 J. Paul Chen et al.<br />

l Product conversion rate. It depends on several factors, mainly ionic charge <strong>and</strong> ionic size. The<br />

higher the ionic charge <strong>and</strong> the larger the ionic size of the contaminant, the more easily the ion is<br />

removed <strong>and</strong> the more finished water is recovered relative to the amount of reject water.<br />

6.4. Engineering Design<br />

<strong>Membrane</strong> module<br />

Feed Permeate Retentate<br />

Fig. 7.19. A batch system.<br />

a b<br />

Feed<br />

Module 1 Module 2<br />

Retentate Feed<br />

Module 1<br />

Retentate<br />

Module 2<br />

Permeate<br />

Permeate<br />

Two-stage stripping cascade Two-stage enriching cascade<br />

Fig. 7.20. Two-stage membrane process: (a) two-stage stripping cascade <strong>and</strong> (b) two-stage enriching<br />

cascade.<br />

A membrane system can be designed by empirical or semiempirical approaches <strong>and</strong><br />

computer-simulation models. The former can be found in the literature such as Geankoplis’<br />

manuscript (27); the later is illustrated by Judd <strong>and</strong> Jefferson (3). A frequently used design<br />

tool based on a semiempirical approach is given below.<br />

6.4.1. Reverse Osmosis<br />

Mass transfer of substances in a membrane unit can be considered as steady-state diffusion,<br />

which can be described by the following equations (6, 12, 40, 49). A conceptual illustration of<br />

RO is given in Fig. 7.21. Noted that 1 <strong>and</strong> 2 represent feed <strong>and</strong> permeate (product) sides,<br />

respectively:

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