Bursting bubble in an elasto-viscoplastic medium
arXiv:2409.14897 · doi:10.1017/jfm.2024.1073
Abstract
A gas bubble sitting at a liquid-gas interface can burst following the rupture of the thin liquid film separating it from the ambient, owing to the large surface energy of the resultant cavity. This bursting bubble forms capillary waves, a Worthington jet, and subsequent droplets for a Newtonian liquid medium. However, rheological properties of the liquid medium like elasto-viscoplasticity can greatly affect these dynamics. Using direct numerical simulations, this study exemplifies how the complex interplay between elasticity (in terms of elastic stress relaxation) and yield stress influences the transient interfacial phenomena of bursting bubbles. We investigate how bursting dynamics depends on capillary, elastic, and yield stresses by exploring the parameter space of the Deborah number (dimensionless relaxation time of elastic stresses) and the plastocapillary number (dimensionless yield-stress of the medium), delineating four distinct characteristic behaviours. Overall, we observe a non-monotonic effect of elastic stress relaxation on the jet development while plasticity of the elasto-viscoplastic medium is shown to affect primarily the jet evolution only at faster relaxation times (low ). The role of elastic stresses on jet development is elucidated with the support of energy budgets identifying different modes of energy transfer within the elasto-viscoplastic medium. The effects of elasticity on the initial progression of capillary waves and droplet formation are also studied. In passing, we study the effects of solvent-polymer-viscosity ratio on bursting dynamics and show that polymer viscosity can increase the jet thickness apart from reducing the maximum height of the jet.
35 pages, 20 figures
References in corpus (17)
- Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming
- Generation and Breakup of Worthington Jets After Cavity Collapse
- High-speed Jet Formation after Solid Object Impact
- On the physics of fizzing: How bubble bursting controls droplets ejection
- Lifting a sessile oil drop from a superamphiphobic surface with an impacting one
- Computational modeling of multiphase viscoelastic and elastoviscoplastic flows
- Culinary fluid mechanics and other currents in food science
- Bursting Bubble in a Viscoplastic Medium
- Enhanced singular jet formation in oil-coated bubble bursting
- Water-to-air transfer of nano/micro-sized particulates: enrichment effect in bubble bursting jet drops
- Spreading of viscoplastic droplets
- Influence of surfactant concentration on drop production by bubble bursting
- Capillary Thinning of Elastic and Viscoelastic Threads: from Elastocapillarity to Phase Separation
- Dynamics of an elastoviscoplastic droplet in a Newtonian medium under shear flow
- Flow onset for a single bubble in yield-stress fluids
- A note about convected time derivatives for flows of complex fluids
- Surfactant amplifies yield-stress effects in the capillary instability of a film coating a tube