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Linear capillary instability of compound jets. (English) Zbl 0639.76107

Summary: The capillary instability of compound jets has been studied using a linear model derived from the two-dimensional equations of motion. The flow was considered as a superposition of steady-state plug flow and travelling waves of small amplitude. The eigenvalue problem, obtained via the disturbance-phase velocity, was solved numerically and the analysis applied to compound jets of liquids with different surface tensions, densities and viscosities. The influence of the outer secondary-fluid layer on the compound jet instability was analyzed. Three different break-up regimes were established and the distance to the first break-up point was predicted. The necessary qualitative conditions for manifesting a specific break-up regime were identified, and the numerical results compared, whenever possible, with the experimental data available.

MSC:

76T99 Multiphase and multicomponent flows
76E99 Hydrodynamic stability
76B45 Capillarity (surface tension) for incompressible inviscid fluids
76M99 Basic methods in fluid mechanics
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