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9-16   WATER AND WASTEWATER ENGINEERING

                                The design process is iterative in that a number of combinations are investigated to examine
                            the most economical arrangement that yields the desired water quality objectives. In RO/NF
                              softening systems, blending with bypassed water is common and should be considered in select-
                            ing the array arrangement.

                                Applying Manufacturer’s Standard Conditions.  The manufacturer’s standard conditions for
                            estimating the permeate flow rate ( Q    P   ) can be corrected to local conditions for design estimates
                            using the following equation (AWWA, 1999):

                                                      Q   (PCF )(TCF )(MFRC/FF )( Q )                     (9-14)
                                                                                  i
                                                       p

                            where     Q    p           product water flow at operating conditions
                                   PCF     pressure correction factor
                                   TCF     temperature correction factor
                                   MFRC     membrane flux retention coefficient
                                     FF     fouling factor
                                      Q    i           initial product water flow at standard conditions

                            PCF is further defined as
                                                    PCF P     0 5.( h )  P                                (9-15)
                                                           F       L    P   	 FC   	 P
                            where     P    F         feed pressure, Pa
                                      h    L      headloss through feed-concentrate channel, Pa

                                     P    P         permeate pressure, Pa
                                       	 FC        average feed concentrate osmotic pressure, Pa
                                      	    P         permeate osmotic pressure, Pa
                            TCF is specific to a given membrane product and should be obtained from the manufacturer.
                            MFRC is taken to be about 0.65 to 0.85 over a 3 to 5 year operating period. FF is generally about
                            0.8 to 0.9 over 3 years (AWWA, 1999).


                                Stabilization Design for NF/RO Softened Water.  Because the NF/RO membranes do not
                            remove dissolved gases, the CO  2   in groundwater passes through the membrane. Acid pretreat-
                            ment to prevent scaling results in the conversion of bicarbonate ion to CO  2  . Thus, the permeate
                            has a low pH as a result of the formation of H  2  CO  3  . It is very corrosive. In a typical NF/RO soft-
                            ened water, the raw water pH is decreased to between 5.5 and 7.0 (AWWA, 1999).
                                 A common post-treatment process is air stripping to remove the CO  2  . The CO  2   concentration
                            to achieve a design pH can be estimated using the carbonate equilibria. As demonstrated in the
                            following example, the pH that can be achieved by air stripping the CO  2   is not high enough to
                            make the permeate noncorrosive.

                              Example 9-3.  Assuming that an air stripper can reduce the CO  2   in the permeate from an NF/
                            RO unit to the theoretical limit of equilibrium with the CO  2   in the atmosphere, what will the pH
                            of the permeate be? The atmospheric concentration of CO  2   in 2005, as measured at Mauna Loa,
                            Hawaii, was 370 ppm.
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