Page 440 - Civil Engineering Formulas
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366                   CHAPTER THIRTEEN

             It is recommended that aeration equipment be designed with a factor of
           safety of at least 2.
             The food to microorganism ratio is defined as

                                   F:M   S  X                  (13.17)
                                         O  a
                                               –1
           where F:M is the food to microorganism ratio in d .
             F:M is simply a ratio of the “food” or BOD of the incoming waste, to the
                                              5
           concentration of “microorganisms” in the aeration tank or MLVSS.
             Typical values for F:M reported in literature vary from 0.05 d –1  to 1.0 d –1
           depending on the type of treatment process used.
             The volumetric (organic) loading (V ) is defined as
                                       L
                                V L   S O Q/V r   S O /        (13.18)
             V is a measure of the pounds of BOD applied daily per thousand cubic feet
              L                          5
           of aeration tank volume.
             To determine the waste activated sludge (WAS) and return activated sludge
           (RAS), Figs. 13.3 and 13.4 are used, along with the following variables:


                              Q , X     Control volume
                               w
                   Q, S 0             Q + Q r          Q e , S, X e
                                        X
                          Aeration tank         Settling
                             X, S, V r  Return   tank
                             Q , x , S  line
                               r
                                 r
                FIGURE 13.3  Aeration tank mass balance. (Hicks—Handbook of Civil
                Engineering Calculations, McGraw-Hill.)


                                                 Control volume

                 Q, S o                 Q + Q r          Q , S, X e
                                                          e
                                          X
                                                 Settling
                           Aeration tank
                                                  tank
                            X, S, V r
                                  r
                              Q r , X , S  Return line
                                                    , X
                                                 Q w  r
             FIGURE 13.4  Settling tank mass balance. (Hicks—Handbook of Civil Engineering
             Calculations, McGraw-Hill.)
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