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.