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754                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological




               S              1     pf  X     Z                Eckenfelder, W. W., W. Wesley Eckenfelder (Waste Water Extraor-
                 ¼ exp   ^m                F         (23:A:26)      dinaire)—The Life of a Pioneer, Author House, Bloomington,
               S o          K m þ S  d r  Y  HLR
                                                                    IN, 2009.


                               1    pf   X     Z               Eckenfelder, W. W. Jr., Ford, D. L., and Englande, A. J. Jr., Indus-
              S ¼ S o exp   ^m              F        (23:A:27)      trial Water Quality, 4th edn., McGraw-Hill, New York, 2009.
                            K m þ S  d r  Y  HLR
                                                               Fair, G. M. and Geyer, J. C., Water Supply and Waste-Water Dis-
                                                                    posal, John Wiley, New York, 1954.
            By assuming K m   [S] and letting,                 Ghosh, S. and Pohland, F. G., Kinetics of substrate assimilation
                                                                    and product formation in anaerobic digestion, Journal of

                                                                    Water Pollution Control Federation, 46(4):748–759, April
                              1    pf   X
                     k ¼ ^m                F         (23:A:28)      1974.
                           K m þ S  d r  Y                     Goodwin, B. L. and Englande, A. J. Jr., A unified model of the
                                                                    activated sludge process, Journal of the Water Pollution Con-
            Then, Equation 23.A.27 is                               trol Federation, 46(2):312–332, 1974.
                                                               Grady, C. P. L. Jr., Daigger, G. T., and Lim, H. C., Biological

                                     Z                              Wastewater Treatment, Theory and Applications, 2nd edn.,
                       S ¼ S o exp  k                (23:A:29)      Marcel Dekker, Inc., New York, 1999.
                                    HLR
                                                               Gram, A. L., III, Reaction kinetics of aerobic biological processes,
                                                                    Report No. 2, I.E.R. Series 90, Sanitary Engineering Research
            Equation 23.A.29 was given by Eckenfelder (1961, p. 224)
                                                                    Laboratory, Department of Engineering, University of Califor-
            and has been used most widely in practice. As seen, the  nia, Berkeley, CA, May 15, 1956.
            coefficient, k, must be calibrated. This can be done by  Henze, M., Grady, C. P. Jr., Gujer, W., Marais, G. V. R., and Matsuo,
            ‘‘curve fitting’’ the model to trickling filter in operation. The  T., A general model for single-sludge wastewater treatment
            k value obtained may be incorporated in the model for a new  systems, Water Research, 21(5):505–515, May 1987.
            design at another site, assuming the wastewaters are similar. A  Lawrence, A. W. and P. L. McCarty, Kinetics of methane fermenta-
            reason for disaggregating k, as in Equation 23.A.27 is to better  tion in anaerobic treatment, Journal of Water Pollution Con-
                                                                    trol Federation, 41(2-Part 2):R1–R17, February 1969.
            evaluate the role of operative variables and to utilize know-
                                                               Lawrence, A. W. and McCarty, P. L., A unified basis for biological
            ledge about their variation. For example, if the media density  treatment design and operation, Journal of the Sanitary
            varies from one location to another or if one wishes to exam-  Engineering  Division,  American  Society  of  Chemical
            ine the effect of a variable by a spreadsheet model, the effects  Engineers, 96:757, 1970.
            may be discernible.                                McCarty, P. L., Anaerobic waste treatment fundamentals, Part one—
                                                                    Chemistry and microbiology, Public Works, 95:107–112,
                                                                    September 1964a.
            GLOSSARY                                           McCarty, P. L., Anaerobic waste treatment fundamentals, Part two—
                                                                    Environmental requirements and control, Public Works,
            Glossary is in Chapter 22.
                                                                    95:123–128, September 1964b.
                                                               McCarty, P. L., Anaerobic waste treatment fundamentals, Part
            REFERENCES                                              three—Toxic materials and their control, Public Works,
                                                                    95:91–94, November 1964c.
            Agardy, F. J., Cole, R. D., and Pearson, E. A., Kinetic and activity  McCarty, P. L., Anaerobic waste treatment fundamentals, Part
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                Reston, VA, May 15, 1961.                           McGraw-Hill, New York, 1930.
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                Treatment, Pergamon Press (Macmillan), New York, 1961.  ment, Disposal, McGraw-Hill, New York, 1972.
            Eckenfelder, W. W. Jr., Activated sludge treatment of industrial  Monod, J., The growth of bacterial cultures, Annual Review of
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                American Academy of Environmental Engineers, handout,  CA, 1949.
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                2000.                                               Technomic Publishing Co., Lancaster, PA, 1994.
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