Mass transfer to drops and bubbles

Input(s)

$\sigma$: Interfacial Tension $(\mathrm{N})$

D: Diameter $(\mathrm{cm})$

$\boldsymbol{\rho}_{\boldsymbol{d}}$: Density of Drops $(\mathrm{g} / \mathrm{cc})$

$\boldsymbol{\rho}_{\boldsymbol{c}}$: Density of Continuous Medium $(\mathrm{g} / \mathrm{cc})$

Output(s)

$\boldsymbol{\omega}$: Angular Frequency of Oscillation $(\mathrm{rad} / \mathrm{s})$

Formula(s)

$$ \omega=\left(\left(\frac{192 * \sigma}{\left(\mathrm{D}^{3}\right) *\left(3 * \rho_{\mathrm{d}}+2 * \rho_{\mathrm{c}}\right)}\right)^{0.5}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 22, Page: 687.