Inviscid coalescence of drops

Abstract

We study the coalescence of two drops of an ideal fluid driven by surface tension. The velocity of approach is taken to be zero and the dynamical effect of the outer fluid (usually air) is neglected. Our approximation is expected to be valid on scales larger than ${\ell }_{\nu }=\rho {\nu }^2/\sigma$, which is $10nm$ for water. Using a high-precision boundary integral method, we show that the walls of the thin retracting sheet of air between the drops reconnect in finite time to form a toroidal enclosure. After the initial reconnection, retraction starts again, leading to a rapid sequence of enclosures. Averaging over the discrete events, we find the minimum radius of the liquid bridge connecting the two drops to scale like $r_b\propto t^{1/2}$.

References in corpus (3)

• Coalescence of Liquid Drops
• New Hydrodynamic Mechanism for Drop Coarsening
• Tests of Dynamical Scaling in 3-D Spinodal Decomposition

Cited by in corpus (49)

• Coalescence of bubbles and drops in an outer fluid
• Viscous to Inertial Crossover in Liquid Drop Coalescence
• The inexorable resistance of inertia determines the initial regime of drop coalescence
• Initial spreading of low-viscosity drops on partially wetting surfaces
• Short time dynamics of viscous drop spreading
• Coalescence of Liquid Drops: Different Models Versus Experiment
• Coalescence in low-viscosity liquids
• Symmetric and Asymmetric Coalescence of Drops on a Substrate
• Approach and Coalescence of Liquid Drops in Air
• Mesoscale modeling of near-contact interactions for complex flowing interfaces
• Numerical Study of Drop Motion on a Surface with Wettability Gradient and Contact Angle Hysteresis
• Coalescence of Pickering emulsion droplets induced by an electric field
• A New Framework of Multistage Estimation
• Single bubble and drop techniques for characterizing foams and emulsions
• Coalescence of Low-Viscosity Fluids in Air
• Wetting Boundary Conditions in Phase-Field-Based Simulation of Binary Fluids: Some Comparative Studies and New Development
• Universality in coalescence of polymeric fluid drops
• Viscous coalescence of droplets: a Lattice Boltzmann study
• Self-Similar Liquid Lens Coalescence
• A Parametric Study of the Coalescence of Liquid Drops in a Viscous Gas
• Bridge evolution during the coalescence of immiscible droplets
• The Dynamics of Liquid Drops Coalescing in the Inertial Regime
• Vortex-Ring-Induced Internal Mixing Upon the Coalescence of Initially Stationary Droplets
• Vorticity and quantum turbulence in the merging of superfluid Helium nanodroplets
• The asymmetric coalescence of two droplets with different surface tensions is caused by capillary waves
• Rheocoalescence: Relaxation time through coalescence of droplets
• Coalescence of surfactant-laden droplets
• Acceleration of raindrops formation due to tangling-clustering instability in turbulent stratified atmosphere
• The Coalescence of Liquid Drops in a Viscous Fluid: Interface Formation Model
• Surface impacts and collisions of particle-laden nanodrops
• Perturbed breakup of gas bubbles in water: Memory, gas flow, and coalescence
• Dynamics of viscous coalescing droplets in a saturated vapor phase
• Bubble formation during the collision of a sessile drop with a meniscus
• Molecular dynamics simulation of the coalescence of surfactant-laden droplets
• Coalescence of immiscible droplets in liquid environments
• Coalescence of sessile aqueous droplets laden with surfactant
• Engulfment of a drop on solids coated by thin and thick fluid films
• Sweeping by Sessile Drop Coalescence
• Coalescence of sessile polymer droplets: A molecular dynamics study
• Coalescence of immiscible sessile droplets on a partial wetting surface
• Collision of surfactant-laden droplets: insights from molecular dynamics simulation
• Short time dynamics of water coalescence on a flat water pool
• Nuclear viscosity estimated by dynamics of neck formation in the early stage of nuclear collision
• Coalescence of immersed droplets on a substrate
• Two-dimensional symbiotic solitons and quantum droplets in a quasi-one-dimensional optical lattice
• When elasticity affects drop coalescence
• Merging of superfluid Helium nanodroplets with vortices
• Theory for the coalescence of viscous lenses
• Effect of velocity, fluid properties and drop shape on coalescence and neck oscillation