Numerical Simulation and Analytical Prediction on the Development of Entrained Air Filament Caused by the Combined Effect of Rotational Field and Free Stream Flow
Santosh Kumar Panda, Basanta Kumar Rana
Abstract
In this study, an attempt has been made to characterize the pattern of entrained air filament inside a liquid bath of high viscosity by employing a fully submerged horizontal rotating solid roller where the lighter phase is allowed to flow uniformly above the bath. The influence of roller rotational speed (ω), depth of submergence (h/D), strength of the crossflow (Reflow), and fluid pair (Mo) on the entrainment profile has been established numerically to report the physical insights. An open-source Gerris solver has been employed to perform this computational work. We have also described the transient dynamics of the cusp tip for various input pertinent parameters. In addition, both departure of bubbles at the tip of the steady configured cusp and the entrainment rate are predicted for different gas–liquid pairs. Interfacial configurations are also obtained as a consequence of the effect of gravitational pull. Lastly, an analytical analysis predicted successfully the obtaining of the structure of the cusp, and the predictions are quite satisfactory compared to present numerical data.