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Membrane and Desalination Technologies - TCE Moodle Website

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360 N.K. Shammas <strong>and</strong> L.K. Wang<br />

<strong>and</strong> brackish waters indicating that there is approximately 1 psi of osmotic pressure for every<br />

100 mg/L of TDS. In many cases the filtrate TDS concentration (TDSp) is small <strong>and</strong> can be<br />

neglected.<br />

While the flux associated with MF, UF, <strong>and</strong> MCF systems is typically referenced to a<br />

temperature of 20 C for the purposes of assessing operational performance, it is common to<br />

reference the flux associated with NF <strong>and</strong> RO systems to 25 C (298 K). Accordingly, the<br />

appropriate TCF for NF <strong>and</strong> RO systems is shown in Eq. (15):<br />

TCF ¼ exp U<br />

1<br />

T þ 273<br />

1<br />

298<br />

; (15Þ<br />

where TCF is the temperature correction factor, dimensionless, T is the water temperature,<br />

C, U is the membrane-specific manufacturer-supplied constant, 1/ K.<br />

Once the TCF has been determined, the flux normalized to 25 C can be calculated<br />

according to Eq. (16):<br />

J25 ¼ JTðTCFÞ; (16Þ<br />

where J25 is the normalized flux at 25 C, gal/ft 2 /d, JT is the actual flux at temperature T,gal/ft 2 /d,<br />

TCF is the temperature correction factor, dimensionless.<br />

As with MF, UF, <strong>and</strong> MCF systems, it is important to note that the normalized flux (J25) for<br />

NF <strong>and</strong> RO systems does not represent an actual operating condition. This term simply<br />

represents what the flux would be at 25 C for the purposes of comparing membrane<br />

performance independent of temperature-related affects. Similarly, it is also common to<br />

normalize the flux for pressure in order to identify changes in productivity that are attributable<br />

to fouling, as shown in Eq. (17):<br />

M ¼ J25<br />

; (17Þ<br />

NDP<br />

where M is the temperature- <strong>and</strong> pressure-normalized flux, gal/ft 2 /d/psi, J25 is the normalized<br />

flux at 25 C, gal/ft 2 /d, <strong>and</strong> NDP is the net driving pressure, psi.<br />

4.4. Hydraulic Configurations<br />

The term hydraulic configuration is used to describe the manner in which the feed water<br />

<strong>and</strong> associated suspended solids are processed by a membrane filtration system. Although<br />

there are a number of different hydraulic configurations in which the various membrane<br />

filtration systems can operate, each of these configurations can be categorized into one of two<br />

basic modes of operation:<br />

1. Deposition mode<br />

2. Suspension mode<br />

The hydraulic configuration of a system is determined from operational conditions such as<br />

backwash, concentrate flow, <strong>and</strong> recycle flow, where applicable<br />

One of the most important implications of a system’s hydraulic configuration is its impact<br />

on the degree to which suspended solids are concentrated on the feed side of the membrane.

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