Boundary layer stripping of liquid drops fragmented by Taylor instability

On the formation and recurrent shedding of ligaments in droplet aerobreakup

“…Increasing the Weber number up to 80, the aerobreakup is driven by the Rayleigh-Taylor instability (RTI) and breakup modes are distinguished by their wavenumber. The one-wave configuration corresponds to the bag breakup regime (Lane 1951;Magarvey & Taylor 1956;Fishburn 1974;Gel'fand, Gubin & Kogarko 1974;Jalaal & Mehravaran 2012;Kulkarni & Sojka 2014;Wang et al 2014) where the droplet is first deformed into a disc shape and then a thin hollow bag attached to a toroidal rim, which is blown downstream and finally bursts. Later, the toroidal rim breaks up due to Rayleigh-Plateau instability (Jain et al 2015).…”

A hydrodynamic fragmentation model based on boundary layer stripping

“…(28) as the governing equation of the fragmentation process and the final prediction trend consisted with new experimental results, which demonstrates that Reinecke's experiment on water droplet shattering is relatively successful. Therefore, the experimental data on water droplets in different shock Mach numbers by Reinecks's (Fishiburn, 1974 andWaldman, 1975) would be used as benchmarks.…”

Hydrodynamic instability and regimes of fragmentation of drops

“…In a number of experimental and theoretical papers [8] it has been established that aperiodic unstable Taylor perturbations in the nonlinear stage of development have a constant rate of growth of amplitude, U = 0.338(%*g) ~ ~ We -0"25 Hence it follows that in region III the time of "broaching" of a drop by aperiodic perturbations should grow as We ~ which is at variance with numerous experiments [7], Zd ~ We-~ and indicates the insignificant role of Taylor instability in region III. Evidently, this type of instability can be realized only in the concluding stage and destroy the part of the drop remaining after the action of peridic instability.…”