Abstract

Abstract

Highlights

  • Bubble bursting processes abound in nature and technology and have been studied for many years in fluid mechanics (Liger-Belair, Polidori & Jeandet 2008)

  • The three dimensionless numbers controlling the equations above are the plastocapillary number (J ), which accounts for the competition between the capillary and yield stresses, the Ohnesorge number (Oh) that compares the inertial–capillary to inertial–viscous timescales and the Bond number (Bo), which

  • To better understand the bubble bursting dynamics in a viscoplastic medium, we looked at the energy budgets

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Summary

Introduction

Bubble bursting processes abound in nature and technology and have been studied for many years in fluid mechanics (Liger-Belair, Polidori & Jeandet 2008). The thin film between the bubble and the free surface gradually drains (Toba 1959; Princen 1963) and eventually ruptures, resulting in an open cavity (figure 1c, Mason 1954) The collapse of this cavity leads to a series of rich dynamical processes that involve capillary waves (Zeff et al 2000; Duchemin et al 2002) and may lead to the formation of a Worthington jet (Gordillo & Rodríguez-Rodríguez 2019). For Newtonian liquids, Deike et al (2018) have provided quantitative cross-validation of numerical and experimental studies They have given a complete quantitative description of the influence of viscosity, gravity and capillarity on the process, extending the earlier work of Duchemin et al (2002). At high yield-stress values, the unyielded region of the viscoplastic fluid can seize the collapse of this cavity, which leads to distinct final crater shapes.

Governing equations
Method
Initial condition
Phenomenology
Capillary waves in the presence of yield stress
Jet formation in the presence of yield stress
What happens to the initial surface energy?
Final crater shapes
Regime map
Conclusions
Viscous regularisation parameter
Stoppage time
Findings
Initial rim curvature effects
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