10.2190/NWEG-JAU3-XDHD-D0J9 NWEGJAU3XDHDD0J9 3 Oxygen Sag Equation for Half Order Bod Kinetics 341 351 20020509 20020509 20020509 20020509 NWEGJAU3XDHDD0J9.pdf http://baywood.metapress.com/link.asp?target=contribution&id=NWEGJAU3XDHDD0J9 4 Donald Dean Adrian Thomas G. Sanders Louisiana State University, Baton Rouge Colorado State University, Fort Collins A dissolved oxygen sag equation for a stream is developed in which the biochemical oxygen demand is described as a half order reaction rather than a first order reaction as in the classical Streeter-Phelps equation. The dissolved oxygen equation using half order BOD kinetics is most applicable to rapidly degrading industrial wastes containing glucose and glutamic acid. The time at which the maximum dissolved oxygen deficit occurs is predicted in this model. The dissolved oxygen sag equation is developed for the case in which sedimentation of BOD occurs. However, if both sedimentation and benthic demand occur, a complete analytical solution does not appear possible. H. W. Streeter and E. B. Phelps, A Study of the Pollution and Natural Purification of the Ohio River, III. Factors Concerned in the Phenomena of Oxidation and Reaeration, U. S. Public Health Service, <i>Bulletin 146</i>, 1925. N. L. Nemerow, <i>Scientific Stream Pollution Analysis</i>, McGraw-Hill, 1974. G. Tchobanoglous and E. D. Schroeder, <i>Water Quality: Characteristics, Modeling, Modifications</i>, Addison-Wesley, Reading, Massachusetts, 1985. H. A. Thomas, Personal Communication, cited in Woodward, 1953, Deoxygenation of Sewage: A Discussion, <i>Sewage and Industrial Wastes, 25</i>:4, p. 518, 1953. J. C. Young and J. W. Clark, Second Order Equation for BOD, <i>Journal of Sanitary Engineering Division, Proceedings of American Society of Civil Engineers, 91</i>, pp. 43-58, 1965. H. B. Braun and P. M. Berthouex, Analysis of the Lag Phase BOD Curves using Monod Equations, <i>Water Resources Research, 6</i>, pp. 838-844, 1970. R. R. Reining, Jr., <i>An Investigation of the Possible Effect of Dilution on the BOD Reaction Rate Constant</i>, M. S. thesis presented to the Graduate School, University of Massachusetts, Amherst, Massachusetts, 1967. C. Sutherland, <i>pH Control and Odor Problems Associated with Sugar Mill Wash Water</i>, M. S. thesis presented to the Graduate School, Louisiana State University, Baton Rouge, Louisiana, 1992. C. Sutherland, D. D. Adrian, M. Tittlebaum, and D. Legendre, Correcting pH and Odor Problems in a Sugarcane Wash Water Treatment System, <i>Sugar Journal, 55</i>:6, pp. 8-13, November 1992. N. M. Emanuel and D. G. Knorre, <i>Chemical Kinetics: Homogeneous Reactions</i>, translated from Russian by R. Kondor, John Wiley and Sons, New York, 447 pp., 1973. W. Viessman and M. J. Hammer, <i>Water Supply and Pollution Control</i>, Harper and Row, New York, 797 pp., 1985. Metcalf and Eddy, Inc., <i>Wastewater Engineering: Treatment Disposal Reuse</i>, McGraw-Hill, New York, 920 pp., 1979.