Article
Scaling laws of top jet drop size and speed from bubble bursting including gravity and inviscid limit
Author/s | Gañán-Calvo, Alfonso M. |
Director | |
Department | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos |
Publication Date | 2018 |
Deposit Date | 2020-12-16 |
Published in |
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Abstract | Jet droplets from bubble bursting are determined by a limited parametrical space:
the liquid properties (surface tension, viscosity, and density), mother bubble size, and
acceleration of gravity. Thus, the two resulting ... Jet droplets from bubble bursting are determined by a limited parametrical space: the liquid properties (surface tension, viscosity, and density), mother bubble size, and acceleration of gravity. Thus, the two resulting parameters from dimensional analysis (usually the Ohnesorge and Bond numbers Oh and Bo) completely define this phenomenon when both the trapped gas in the bubble and the environment gas have negligible density. A detailed physical description of the ejection process to model both the ejected droplet radius and its initial launch speed is provided, leading to a scaling law including both Oh and Bo. Two critical values of Oh determine two limiting situations: One (Oh1 = 0.038) is the critical value for which the ejected droplet size is minimum and the ejection speed maximum, and the other (Oh2 = 0.0045) is a critical value which signals when viscous effects vanish. Gravity effects (Bo) are consistently introduced from energy conservation principles. The proposed scaling laws produce a remarkable collapse of published experimental measurements collected for both the ejected droplet radius and ejection speed. |
Project ID. | DPI2016-78887-C3-1-R |
Citation | Gañán-Calvo, Alfonso M. (2018). Scaling laws of top jet drop size and speed from bubble bursting including gravity and inviscid limit. Physical Review Fluids, 3, 091601-1-091601-9. |
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