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Abstract
The process of adiabatic bubble formation from an orifice plate occurs in various industrial applications. It is important to understand the dynamics of bubble formation and to develop numerical models to accurately predict the formation dynamics under various operating conditions. For the numerical models, an appropriate contact line boundary condition is necessary since this process may involve a moving contact line, which significantly affects the bubble departure size. In this paper, we extend the Local Front Reconstruction Method by incorporating contact angle dynamics. The predictions of the improved model are extensively verified and validated with experimental and numerical data available in the literature. The problem of three-dimensional bubble injection from an orifice into quiescent water using various volumetric flow rates is used to assess the numerical model under capillary dominant conditions and conditions where the interplay between inertial, viscous, surface tension, and buoyancy forces cause a complex interface deformation.
Highlights
The formation of gas bubbles by submerged needles or orifices is of great interest for diverse applications in chemical, nuclear, and metallurgical industries, because it influences the bubble size and thereby the bubble rise velocity
We extend the Local Front Reconstruction Method by incorporating contact angle dynamics
We extend the Local Front Reconstruction Method (LFRM), a front-tracking method that enables interface merging and breakup, by incorporating the contact angle dynamics
Summary
The formation of gas bubbles by submerged needles or orifices is of great interest for diverse applications in chemical, nuclear, and metallurgical industries, because it influences the bubble size and thereby the bubble rise velocity. A simple Young-Laplace equation could be used to describe the bubble motion at sufficiently low gas flow rates (Marmur and Rubin, 1973; Gerlach et al, 2005; Lesage et al, 2013; Lesage and Marois, 2013) These approaches are in good agreement with experiments in certain regimes, the majority of them are unable to account for the viscous effects, bubble interactions and the last phase of the neck pinch-off at detachment.
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