Elimination of circulation in a rising gas bubble
Input(s)
\(\mathrm{R}\): Radius of bubble \((\mathrm{cm})\)
\(\mu\): Viscosity \((\mathrm{cP})\)
\(v_{\infty}\): Velocity \((\mathrm{cm} / \mathrm{s})\)
\(\theta\): Angle of bubble \((\mathrm{rad})\)
Output(s)
\(\tau\): Stress \((\mathrm{kPa})\)
Formula(s)
\[
\tau=\frac{3 * \mu * \mathrm{v}_{\infty} * \sin (\theta)}{2 * \mathrm{R}}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 22, Page: 701.