Page 500 - Water and wastewater engineering
P. 500

MEMBRANE FILTRATION 12-17


            Example 12-2.   Determine the number of modules per rack and the number of racks to provide
          uninterrupted flow for the following design conditions:

                                       3
                             Q    max        10,000 m  /d
                                   3
                                         2
                            J      0.100 m  /h · m
                                                      2
                          Membrane area per module     50 m
                          Backwash interval     60 min
                          Backwash time     8 min
            Solution:
                a.  Estimate the total membrane area required.


                                                    3
                                            10 000 m /d                 2
                                              ,
                                                              4 166.667 m
                                                               ,
                                              3
                                        .
                                      ( 0 100 m /h m )(   2  24 h/d)
               b.  Estimate the number of modules.
                                          4 166 67 m 2
                                               .
                                           ,
                                                        8333 modules
                                                          .
                                              2
                                         50 m /module

               c.  Because cleaning is by racks, estimate the number of racks that must be cleaned in a
                 backwash cycle.
                                 60 min/backwash cycle
                                                         7 5 racks/b.  a ackwash cycle
                                       8 min/rack

                 To provide a safety factor of about 25%, provide treatment capacity in six racks.
               d.  Estimate the number of modules per rack.

                                      .
                                    8333 modules
                                                      .
                                                   13 88 or  14 modules/rack
                                                                       c
                                       6 racks
               e.  Design summary.
                  1. Provide: 6 racks     1 spare for redundancy     7 racks.
                  2. Check flux.

                                                  3
                                            ,
                                         10 000 m /d                            3     2
                                                                         .
                      J                                                0 0992  m /dm

                                                      2
                                                    m
                         ( 6 racks)( 14 modules/rack)( 50 m /module 24)(  h/d)
   495   496   497   498   499   500   501   502   503   504   505