Radev, S.; Tchavdarov, B. Linear capillary instability of compound jets. (English) Zbl 0639.76107 Int. J. Multiphase Flow 14, No. 1, 67-79 (1988). 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. Cited in 6 Documents MSC: 76T99 Multiphase and multicomponent flows 76E99 Hydrodynamic stability 76B45 Capillarity (surface tension) for incompressible inviscid fluids 76M99 Basic methods in fluid mechanics Keywords:capillary instability of compound jets; linear model; two-dimensional equations of motion; superposition of steady-state plug flow and travelling waves; eigenvalue problem; disturbance-phase velocity; secondary-fluid layer; compound jet instability; break-up regimes; break- up point PDFBibTeX XMLCite \textit{S. Radev} and \textit{B. Tchavdarov}, Int. J. Multiphase Flow 14, No. 1, 67--79 (1988; Zbl 0639.76107) Full Text: DOI