# Oxygen Sag Equation for Half Order Bod Kinetics

Donald Dean Adrian

Thomas G. Sanders

DOI: 10.2190/NWEG-JAU3-XDHD-D0J9

## Abstract

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.This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License.