Page 452 - Civil Engineering Formulas
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378                   CHAPTER THIRTEEN

                                                Methane + Carbon dioxide
                        Fixed cover
                                   Gas storage



                   Sludge                           Sludge
                                Mixer
                    inlets                          outlets



            Sludge heater


            FIGURE 13.7  High-rate single-stage complete-mix anaerobic digester. (Adapted from
            Metcalf & Eddy,  Wastewater Engineering: Treatment, Disposal, and Reuse, 3rd ed.,
            McGraw-Hill.)


             In the anaerobic digestion process, the organic material is converted biologi-
           cally, under anaerobic conditions, to a variety of end products including
           methane (CH ) and carbon dioxide (CO ). The process is carried out in an air-
                     4
                                        2
           tight reactor. Sludge, introduced continuously or intermittently, is retained in
           the reactor for varying periods of time. The stabilized sludge, withdrawn con-
           tinuously or intermittently from the reactor, is reduced in organic and pathogen
           content and is nonputrescible.
             In the high rate digestion process, as shown in Fig. 13.7, the contents of the
           digester are heated and completely mixed. For a complete-mix flow through
           digester, the mean cell residence time (  ) is the same as the hydraulic retention
                                        c
           time ( ).
             The digester volume V required is
                                    V    Q                     (13.69)
                                         c
                                 3
                                    3
           where V   required volume, ft (m )
                   required hydraulic retention time, min
                c
                                              3
                Q   influent sludge flow rate, gal/day (m /day)
             Then, the
                          Volumetric loading   (BOD/day)/V     (13.70)
           The volumetric loading is expressed in lb/ft ( day kg/m  day).
                                          3
                                                   3
                                                         3
             For high rate digesters, loading range from 0.10 to 0.35 lb/ft  d (1.6 to 5.61
               3
           kg/m  d).
             The quantity of volatile solids produced each day is
                             Y[(BOD in , lb/d)   (BOD out , lb/d)]
                         P x                                   (13.71)
                                      1   k d   c
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