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The Oxygen Sag Equation: New properties and a linear equation for the critical deficit
Author(s) -
Arbabi Mansur,
Elzinga Jack,
ReVelle Charles
Publication year - 1974
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr010i005p00921
Subject(s) - conical surface , mathematics , convexity , function (biology) , oxygen , linear equation , mathematical analysis , mathematical optimization , chemistry , geometry , organic chemistry , evolutionary biology , financial economics , economics , biology
In this paper some newly discovered properties of the Streeter‐Phelps oxygen sag equation are examined. The convexity of the critical dissolved oxygen (DO) deficit is established, and it is shown that the critical DO deficit can be represented by a conical surface. By using these properties it is shown how to approximate with a high degree of accuracy the critical deficit as a linear function of initial BOD loading and initial oxygen deficit. The linear approximating equation will find use in mathematical programing formulations of water quality management problems.