Abstract
We developed a mechanistic model for calculation of bubble volume from orifices in the range from 0.03 mm to 0.193 mm under the constant gas flow conditions in a quiescent liquid. It is known that for such small orifices, the mechanism of bubble formation is highly dependent on the gas momentum force and the liquid inertia force. Accordingly, the model incorporates these forces to calculate the bubble volume in three consecutive stages. Moreover, the model includes the influence of the bubble base expansion and bubble rising induced liquid velocity on the formation of bubbles. Eventually the model is validated with our own experimental data using air and deionized water. Experimental validation of the model confirms that the maximum deviation of the model is less than 10%.
Highlights
Performance, efficiency, and sustainability of industrial processes that involve multiphase flows are determined by the way different phases are contacted
We experimentally showed that the mechanism of bubble formation from submillimeter orifices and especially for orifices with dor < 0.4 mm is highly influenced by the gas momentum force FM and the liquid inertia force FLI.[22]
The model estimates the initial bubble size generated from an upward circular orifice with a diameter smaller than 0.3 mm in water
Summary
Performance, efficiency, and sustainability of industrial processes that involve multiphase flows are determined by the way different phases are contacted. Only Scargiali et al.[27] have included the effect of Ul in their model They proposed an empirical correlation to account for the Ul based on the experimental results from three different glass capillary tubes that are 1.8, 4, and 7 mm in diameter. We experimentally showed that the mechanism of bubble formation from submillimeter orifices and especially for orifices with dor < 0.4 mm is highly influenced by the gas momentum force FM and the liquid inertia force FLI.[22] Compared to the magnitude of FM and FLI, other forces have a negligible effect throughout the bubble formation process from orifices with dor < 0.4 mm, here referred to as micro-orifices In this manuscript, a mechanistic model based on the balance between FM and FLI is proposed that solves Vb for micro-orifices under CGFC.
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