Mathematical Model for Dissolved Oxygen

by Robert V. Thomann,

Serial Information: Journal of the Sanitary Engineering Division, 1963, Vol. 89, Issue 5, Pg. 1-32

Document Type: Journal Paper


Systems analysis techniques are used to construct a mathematical model of the variation of dissolved oxygen (DO) in a body of water. The application of these techniques leads to a set of ordinary differential equations that can be solved for the DO response in one section due to an input in any other section. The function that expresses this input-output relationship is shown to be dependent on the hydrodynamic nature of the stream or estuary. Successive use of a linear systems analysis leads to an analytical relationship between the effluent BOD and the resulting DO in the stream.

Subject Headings: Dissolved oxygen | System analysis | Linear analysis | Mathematics | Mathematical models | Rivers and streams | Hydrologic models | Differential equations

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