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



            effluent, with exponential decline with time. The differences
            in the hydraulic models result in differences in reactor
            mathematical models. As noted, the plug-flow model is the
            same in concept as the ‘‘packed-bed’’ model in that both
            involve infinitesimal slices with cross sections normal to the
            respective flow velocities.
            How we got here: Any discussion of activated sludge would
            not be complete without some knowledge of the persons who
            have shaped the current understandings. Many could be
            cited. The one person who would come to mind of virtually
            everyone in the field, however, is Professor Wes Ecken-
            felder. Box 23.2 gives a glimpse of his contributions since
            about 1952, and which have continued to the present, and a
            sense, perhaps, of his personality, which is serious, focused,
            and driven on the topic, but he also ‘‘has a life,’’ of which
                                                                  Professor W.W. Eckenfelder, c. 2008
            others feel a part (see also Eckenfelder, 2009).
                                                                    His sense of humor is legendary which explains, in
                                                                  part, why essentially all of his presentations have been to
                                                                  packed houses (from 100 to 1000). In addition, his
                        BOX 23.2  ECKENFELDER                     explanations of complex topics are a model of distilling
                                                                  the essence of a concept, with the added touch of unortho-
              Professor W. Wesley Eckenfelder, Jr. (1926–2010) has
                                                                  dox slides coupled with humorous side comments. Of the
              had a continuing presence in the field of biological
                                                                  thousands of people who know him, virtually all are
              treatment since early 1952 when the first of his papers
                                                                  known to him and would be considered friends. Over
              appeared. His technical contributions have forged the
                                                                  the years, any student could introduce himself or herself
              foundation for much of current practice and have
                                                                  at a Purdue or WEFTEC conference and feel like they
              included such fundamental ideas as reaction stoichiom-
                                                                  have gained from the experience. I ventured to ask him
              etry, kinetic theory, oxygen transfer, reactor design
                                                                  once at a Purdue conference, c.1968, in a spirit of trying to
              protocol, biological solids handling, and the specialty
                                                                  learn, why an equation in one of his books was at variance
              area of industrial wastes. Equally important, he has
                                                                  with established theory; he responded in good humor: ‘‘I
              given leadership to define the state of the art in bio-
                                                                  do what works.’’ The anecdotes from those who have
              logical treatment by convening numerous conferences,
                                                                  experienced a presentation or personal interaction could
              giving papers, writing books. In the early 1960s, he was
                                                                  fill more than one book. His autobiography, listed in
              one of the founders of what is now the International
                                                                  References, Chapter 22, gives with light touch a good
              Water Association (IWA), its second president, and a
                                                                  sense of his career and personality.
              charter member of AEESP.
                 Asked how he became a visible figure at such a young
              age, he noted that he graduated from high school at 16.
              Indeed, his biography shows a BSCE in 1946 from
                                                               23.2.3 NUMERICAL MODELING
              Manhattan College and an MS from Penn State in
              1948. After developing an identity with Manhattan Col-  The merit of a numerical (finite-difference) model is that
              lege, one of the focal points for sanitary engineering  assumptions do not have to be imposed and various kinds of
              during the 1950s and beyond, he spent time at the Uni-  functions may be incorporated. A numerical model may be as
              versity of Wisconsin with Professor Gerry Rohlich,  complex as desired in order to account for whatever ‘‘happen-
              moved to the University of Texas in 1964, invited by  ings’’ are known to occur and can be expressed mathematic-
              Professor Earnest Gloyna (Box 20.2), and later moved to  ally. The limit is the storage capacity and speed of the computer
              Vanderbilt University, where he remained an emeritus  available; the model must be compatible. For example, an
              professor. His career as a consulting engineer has  activated carbon model with changes in distance and time has
              included hundreds of experiences as both an individual  required 30 million iterations and 2–3 h of computer time using
              and with his own firms, starting with Roy F. Weston in  one of the largest computers (see, for example, Vagliasindi and
              the 1950s. In the 1970s, Professor Eckenfelder and Pro-  Hendricks, 1992, reference in Chapter 15).
              fessor Peter Krenkel formed AWARE, based in Nash-   Two models are discussed here. The first is the ‘‘complete-
              ville. In 1990, the 100-person firm was renamed   mix’’ activated-sludge with recycle and is demonstrated for
              Eckenfelder, Inc. by its employee-owners, which later  the case that the simplifying assumptions, dQ o =dt ¼ 0 and
              became a part of Brown and Caldwell. Since 2004, he  dS o =dt ¼ 0, are not imposed. In other words, if Q o and S o
              has been with AquAeTer, Brentwood, Tennessee.    vary over a diurnal cycle, new values can be applied on the
                                                               mass balance at the beginning of each new iteration. While
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