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Membrane and Desalination Technologies - TCE Moodle Website

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632 P. Kajitvichyanukul et al.<br />

For the performance comparison of RO (<strong>and</strong> NF) with MF <strong>and</strong> UF, the term J 25 normalized<br />

flux may not be used as the MF, UF, <strong>and</strong> MCF systems are typically referenced to a<br />

temperature of 20 C.<br />

To identify changes in productivity that is attributable to fouling of membrane, the flux is<br />

determined as follows:<br />

M25 ¼ J25<br />

(12Þ<br />

NPD<br />

Here, M25 = temperature- <strong>and</strong> pressure-normalized flux (gfd/psi), J25 = normalized flux at<br />

25 C (gfd), <strong>and</strong> NDP = net driving pressure (psi).<br />

Rejection rate (Re) is a fraction of the total contaminant mass/concentration rejected by the<br />

membrane. It is also determined by the following Eq. (13):<br />

Re ¼ 1 ðCp=CfÞ; (13Þ<br />

where Re = rejection rate (%), Cf = concentration of solid in feed (mg/L), <strong>and</strong> CP =<br />

concentration of solid in permeate (mg/L).<br />

In determining the rejection rate (Re), the conductivity measurement can be performed.<br />

Conductivity in the RO testing procedure could be replaced by hardness, alkalinity, nitrate,<br />

phosphate, silica, etc. (measured in ppm or mg/L). Rejection rates less than 95% may indicate<br />

that the membrane should be replaced.<br />

Volume recovery, %: Volume recovery (Rv) is the fraction of the total feed volume of the<br />

test water that can be recovered as clean permeate:<br />

Rv ¼ Vp=Vf; (14Þ<br />

where R v = volume recovery, V F = volume of feed, L, <strong>and</strong> V p = volume of filtrate, L.<br />

4.2. Calculations<br />

Example 1<br />

Find the rejection percentage of RO units after the consumer had run the RO system for 20<br />

min <strong>and</strong> found that the hardness of the RO water is 5 ppm. Let the tap water hardness be 80<br />

ppm.<br />

Solution<br />

Find the rejection percentage from<br />

Re ¼ 1 ðCp=CfÞ<br />

Here, Cf = feed average concentration = 80 ppm <strong>and</strong> CP = filtrate concentration = 5 ppm.<br />

Therefore; Re ¼ 1 ð5=80Þ<br />

Re ¼ 1 0:0625<br />

Re ¼ 0:9375 ¼ 93:75%<br />

Thus, membrane hardness rejection is 93.75%. Rejection rates less than 95% may indicate<br />

that the membrane should be replaced.

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