Elimination of circulation in a rising gas bubble

Input(s)

R\mathrm{R}: Radius of bubble (cm)(\mathrm{cm})

μ\mu: Viscosity (cP)(\mathrm{cP})

vv_{\infty}: Velocity (cm/s)(\mathrm{cm} / \mathrm{s})

θ\theta: Angle of bubble (rad)(\mathrm{rad})

Output(s)

τ\tau: Stress (kPa)(\mathrm{kPa})

Formula(s)

τ=3μvsin(θ)2R\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.


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