Satellites in the inviscid breakup of bubbles

Physical Review Letters

Volumn 98, Issue 14, 2007, Pages

  Gordillo, J M ^a   Fontelos, M A ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b CSIC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); DROP BREAKUP; GAS DYNAMICS; VELOCITY MEASUREMENT;

LIQUID DENSITY RATIO; MAGNITUDE AGREEMENT; MICRON-SIZED SATELLITE BUBBLES; SATELLITE BUBBLES;

SATELLITES;

EID: 34147179960     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.144503     Document Type: Article

References (19)

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18. Relative density variations can be estimated as Δρg/ ρg∼Mg2, with Mg the gas Mach number. In order to estimate Mg note that satellites are formed if ρgv̂g2 Kρlv̂l2, v̂g 0.7(ρl/ρg)1/2v̂l (K=0.5, and hats indicating dimensional quantities), and liquid velocity close to pinch-off, v̂l 5ms-1 under the experimental conditions of. Therefore, our incompressible assumption is realistic under these conditions since, in the case of air, Δρg/ ρg∼0.15 at room temperature. Nevertheless, the strong dependence of rc on Λ in 9 suggests the inclusion of compressibility effects (currently under way) since rc will be larger due to the larger gas density.
19. As pointed out by A. Sevilla (personal communication), the satellite bubble may also split in two as a consequence of the fact that the Weber number characterizing the local axisymmetric straining flow surrounding the satellite (see for details) is above the critical one. In addition, the breakup of subsatellites could form sub-subsatellites.