Abstract
The presence of surfactants critically increases the drag on bubbles rising in contaminated water compared with bubbles rising in pure water. This is explained by the Marangoni effect, occurring when the surface tension forces existing on the surface generate tangential shear stresses on the surface bubble. This mechanism has been studied by considering stagnant cap hypothesis to simulate the increase in the drag as a function of surface contamination. In this work, the steady drag for contaminated spherical bubbles was obtained numerically for \(0.1\le Re\le 200\) by using Comsol \({\text {Multiphysics}}^{\circledR }\) 3.5a assuming the stagnant cap hypothesis. The numerical values of the vorticity, flow velocity and pressure fields as function of the angle of superficial contamination and Re were examined. The agreement of the numerical results with reported drag values for clean and partially contaminated bubbles, as well as rigid spheres was proved. By using an appropriate normalization of the numerical data, a simple drag correlation for contaminated bubbles as a function of the spherical angle of the stiff surface zone was obtained.
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Ramírez-Muñoz, J., Baz-Rodríguez, S., Soria, A., Salinas-Rodríguez, E., Martínez-Delgadillo, S. (2014). Effect of Surface Contamination on the Drag of a Bubble Rising in a Line. In: Klapp, J., Medina, A. (eds) Experimental and Computational Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00116-6_3
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DOI: https://doi.org/10.1007/978-3-319-00116-6_3
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