New Correlations for the Prediction of Terminal Velocity and Drag Coefficient of a Bubble Rising

Document Type : Research Paper

Authors

1 Corresponding Author, Assistant Professor, Chemical Engineering Department, Jundi-Shapur University of Technology, Dezful, Iran

2 Researcher, Chemical Engineering Department, Jundi-Shapur University of Technology, Dezful, Iran

3 Assistant Professor, Chemical Engineering Department, Jundi-Shapur University of Technology, Dezful, Iran

4 Researcher, Mechanical Engineering Department, Jundi-Shapur University of Technology, Dezful, Iran,

Abstract

The present experimental study was done aimed to investigate dynamic of
a single bubble rising through wall-bounded flow at high Reynolds
number. Thus, Rhamnolipid biosurfactant was added to stagnant fluid and
bubble diameter was controlled between 2.5 and 3.5mm. The resulted
Reynolds number was in the range of 400 to 900 depends on biosurfactant
concentration. Rhamnolipid has a low toxicity, a high biodegradability
and good stability at a wide range of temperatures. The results showed
that terminal velocity linearly depends on Reynolds number. Furthermore,
drag coefficient is related to Eötvos number and is autonomous to
Reynolds number. Finally, to estimate terminal velocity and drag
coefficient, four empirical correlations were developed. Relative errors of
the proposed correlations were less than of 3.35% and 1.97% for velocity
and dimensionless velocity equations, respectively, and average errors of
two equations proposed for drag coefficient were 4.44% and 3.26%.

Keywords

Main Subjects


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