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A Study on Destratification System Using Bubble Plume: Dimensional Analysis and Design Methodology  

Kim, Sung-Hoon (한국과학기술원 건설 및 환경공학과)
Kim, Jae-Yun (한국과학기술원 건설 및 환경공학과)
Park, Heekyung (한국과학기술원 건설 및 환경공학과)
Publication Information
Journal of Korean Society of Water and Wastewater / v.19, no.6, 2005 , pp. 827-837 More about this Journal
Abstract
In this study, we derived a new non-dimensional variable including bubble size and air diffusing area by Buckingham's theorem for making a practical correlation with experimental results. Firstly, we drew a relationship between a non-dimensional variable, $NH/u_s$, which has a form of Froude number and destratification efficiency with a simple theoretical consideration. Then we derived two non-dimensional variables by Buckingham's ${\pi}$-theorem and equating them with a form of $Fr_N$ for making single parameter to correlate overall destratification efficiency. As the result, the single parameter Be number shows a correlations with destratification efficiencies obtained from laboratory and pilot experiments. Also, for the practical applications, we conducted multiple regression analysis using Be and tank area to make predictive equations about destratification efficiency. The result also shows a successful correlations with destratification efficiency ($R^2$>0.9, p<0.001). Using this equation, we proposed a new design methodology with respect to bubble diffusing area.
Keywords
Bubble plume; Destratification efficiency; stratification Froude number ($Fr_N$); Bubble efficiency number (Be);
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