The mesh-less moving particle semi-implicit method is employed within the Lagrangian framework to investigate the special geometry of the single film bubble with gas being shrouded by a layer of liquid film
and its special dynamic characteristic that surface tension acts both on the inside and outside interfaces. A surface tension model of the single-film-double-interfaces is established based on the surface tension model of surface free energies
and the complex interface movement in the oscillation process of the single-film bubble is calculated and captured. Moreover
the coalescence and connection process of two single-film bubbles are simulated and analyzed
and the typical flow phenomena and deformation characteristics of the liquid film are obtained. Results show that the leading role of the surface tension in the bubble deforming process reduces when either the surface tension coefficient decreases or the fluid viscosity increases. Furthermore
a concave tangent method is proposed to calculate the angle of the liquid film of the connected bubbles
which helps to describe the shape of connected bubble
quantitatively. These results provide some theoretical supports to the industrial froth breaking.
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references
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