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Dispersion from a point source with and without chemical reaction in semi‐bounded waters
Author(s) -
Wang S. T.,
Mcmillan A. F.,
Chen B. H.
Publication year - 1977
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450550108
Subject(s) - diffusion , bounded function , dispersion (optics) , mechanics , point source , chemical reaction , shear (geology) , limiting , materials science , thermodynamics , chemistry , physics , mathematics , mathematical analysis , mechanical engineering , biochemistry , optics , composite material , engineering
An unsteady, three dimensional diffusion equation has been solved for the dispersion of pollutants, with or without chemical reaction, from an instantaneous point source in a semi‐bounded water under the influence of a vertical shear. The solution, which has been shown to be valid for two limiting cases: unbounded waters and large diffusion time, shows that the concentration ellipsoids would elongate themselves under the influence of a vertical shear, although the degree of elongation would also depend on diffusion coefficient and diffusion time. The effect of chemical reactions is to reduce the concentration level around the moving center of mass. The boundary affects profoundly the concentration distribution when the source is close to the shore.