Abstract
The paper presents the results of theoretical studies into the patterns of air bubble rise in water-air mixtures used in the natural and waste water treatment processes. It is shown that the air bubble size determines the possibility of its rise under various hydrodynamic conditions. Analysis of the balance of the main forces acting on a single free-rising air bubble identified the basic rise types: laminar rise; laminar rise with a sliding surface layer; transient rise; turbulent rise; turbulent rise in the resistance-law self-similarity field. Mathematical dependencies have been obtained to describe the various types of air bubble rise. Using the obtained mathematical dependencies enables an adequate evaluation of the properties of the water-air mixture containing air bubbles as well as using it more efficiently in natural and waste water treatment processes.
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