Collisions of slightly deformable, high Reynolds number bubbles with short-range repulsive forces. (English) Zbl 0829.76028
A collision between two bubbles of radii \(a\) with an initial relative velocity \(2 U_\infty\) is studied in the limit \(\text{Re} \equiv \rho U_\infty a/ \mu \gg 1\) and \(\text{We} \equiv \rho U^2_\infty a/ \gamma \ll 1\). Here \(\rho\) and \(\mu\) are the density and viscosity of the liquid, and \(\gamma\) is a surface tension of the air-liquid interface. The case where there is a nonhydrodynamic repulsive force between the gas-liquid interfaces of the two bubbles that is sufficient to prevent coalescence is considered. Such a force may arise due to ionic salts in aqueous solution or due to surfactants.
MSC:
| 76D99 | Incompressible viscous fluids |
References:
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