Power Law Solutions for Vertical Plumes

by Richard R. Brock, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Univ. of California, Irvine, CA,

Serial Information: Journal of the Hydraulics Division, 1970, Vol. 96, Issue 9, Pg. 1803-1817

Document Type: Journal Paper


This paper investigates solutions to the problem of a vertically rising turbulent plume generated when a source of light fluid is introduced into a heavier ambient fluid of large extent. The particular solutions considered are those in which the plume width, maximum velocity, and maximum density deficiency can be expressed as a simple power of the vertical distance. It is found that this type of solution exists not only for the well-known cases of point and line sources in a uniform ambient fluid, but also for certain cases of: (1) a finite area source in a uniform ambient fluid; and (2) a point, line or finite area source in a stably and unstably stratified fluid.

Subject Headings: Plumes | Case studies | Water stratification

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