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.