Research Article
Oct 1968
Numerical Analysis of BOD and DO Profiles
Publication: Journal of the Sanitary Engineering Division
Volume 94, Issue 5
Abstract
The variation of Biochemical Oxygen Demand (BOD) and Dissolved Oxygen (DO) along a stretch of a polluted natural stream can be represented by two second-order partial differential equations. These equations are similar to the equation representing the conduction of heat in solids, with the exception that the stream equations contain additional lower order terms. Analytical solutions have been obtained for many cases of the heat-conduction problem. However, the presence of the lower order terms and the complexities of many of the boundary conditions make it impossible to obtain analytical solutions to the BOD and DO profile equations for most cases of practical interest. Furthermore, the numerical procedures which have been found to work for the solution of the heat conduction equation are not satisfactory for the BOD and DO equations because of the effects introduced by the lower-order terms. Procedures are presented for the numerical solution of the BOD and DO equations under temporally and spatially varying BOD and DO inputs. The procedures described are confined to the condition of steady, uniform stream flow.
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Published In
Journal of the Sanitary Engineering Division
Volume 94 • Issue 5 • October 1968
Pages: 789 - 807
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Oct 1968
Published online: Feb 12, 2021
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Authors
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Robert Dresnack, AM.ASCE
Grad. Student, Dept. of Civ. Engrg., School of Engrg. and Sci., New York Univ.; presently Asst. Prof. of Civ. Engrg., Newark College of Engrg., Newark, N.J.
William E. Dobbins, F.ASCE
Prof. of Civ. Engrg., New York Univ., New York, N.Y.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.