A universal model for drag on a spherical bubble
Fluid Dynamics
2022-04-08 v1
Abstract
A theoretical expression for the drag on a spherical bubble is derived for the entire range from very viscous to inertial flow conditions. It is based on a solution for only that part of the velocity profile that determines the drag. It is assumed the surface of the bubble has a zero tangential stress condition. Excellent agreement with a previously proposed empirical model by Mei et al. is obtained. This shows that a theoretical framework with relatively simple physics can still predict the terminal velocity of a spherical bubble accurately. To the best of our knowledge, this is one of the few models in fluid dynamics to predict drag on an object for a range of Reynolds numbers that spans many orders of magnitude.
Keywords
Cite
@article{arxiv.2204.03349,
title = {A universal model for drag on a spherical bubble},
author = {Qiang Sun and Evert Klaseboer},
journal= {arXiv preprint arXiv:2204.03349},
year = {2022}
}