Page 493 - Water and wastewater engineering
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12-10   WATER AND WASTEWATER ENGINEERING































                              FIGURE 12-5
                             Hollow fiber membranes


                                 The hollow fiber membranes may be configured in one of four modes: (1) outside-in,
                            (2) outside-in (cross-flow), (3) inside-out (dead-end), or (4) inside-out (cross-flow). For the out-
                            side-in system the flow pattern is against the outside of fiber and the permeate is in the  lumen  or
                            inside the fiber. The inside-out arrangement may be either in the  dead-end  mode or the  cross-flow
                            mode. The advantages and disadvantages of each mode are summarized in  Table 12-4 . Positive
                            pressure systems use either outside-in or inside-out modes. Vacuum systems use only the outside-
                            in mode.

                                Temperature and Pressure Effects
                              Flux is inversely proportional to the viscosity. Viscosity changes due to changes in water
                            temperature are an important design consideration in the treatment of surface water where
                            the water temperature may range from 1 	 C to 20 	 C over the course of a year. The influence
                            of viscosity may be estimated using tables such those found in Appendix A, or the follow-
                            ing second-order polynomial that is valid over the temperature range 0 	 C to 35 	 C (AWWA,
                            2005):


                                                       1 777.    0 052.  T   6 25.   10  4  T () 2     (12-11)


                             where         dynamic viscosity of water, mPa · s
                                      T      temperature,  	 C
                                  Example 12-1  illustrates the effect of temperature change on permeate flux.
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