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Numerical analysis of compound jet disintegration. (English) Zbl 0847.76040
Summary: Capillary instability and breakup of two layers axisymmetric jets (compound jets) are studied. The process of jet disintegration is simulated numerically, solving the unsteady Navier-Stokes equations by the finite element method. The influence of the flow parameters on drop formation and breakup pattern is analyzed. The conclusions made are in very good agreement with the predictions of the linear stability analysis and the experimental data available.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76E05 Parallel shear flows in hydrodynamic stability
76D25 Wakes and jets
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[1] Yuen, M. C.: Non-linear capillary instability of a liquid jet. J. fluid mech. 33, 151-163 (1968) · Zbl 0155.55703
[2] Lafrance, P.: Nonlinear breakup of a laminar liquid jets. Phys. fluids 18, 428-440 (1975) · Zbl 0303.76024
[3] Bogy, D. B.: Drop formation in a circular jet. Annu. rev. Fluid mech. 11, 207-228 (1979)
[4] Keunings, R.: An algorithm for the simulation transient viscoelastic flow with free surfaces. J. comput. Phys. 62, 199-220 (1986) · Zbl 0575.76021
[5] Shokoohi, F.; Elrod, H. G.: Numerical investigation of the disintegration of liquid jets. J. comput. Phys. 71, 324-342 (1987) · Zbl 0613.76039
[6] Hermanrud, B.; Hertz, C. H.: Ink jet development in the Lund institute of technology. J. appl. Photogr. engrg. 5, 220-225 (1979)
[7] Hertz, C. H.; Hermanrud, B.: A liquid compound jet. J. fluid mech. 131, 271-287 (1983)
[8] Sanz, A.; Meseguer, J.: One-dimensional linear analysis of the compound jet. J. fluid mech. 159, 55-68 (1985) · Zbl 0574.76052
[9] Shutov, A. A.: Instability of capillary liquid compound jets. Mech. jidkosti gasa 4, 3-8 (1985) · Zbl 0592.76066
[10] Radev, S.; Tchavdarov, B.: Linear capillary instability of compound jets. Internat. J. Multiphase flow 14, No. 1, 67-79 (1988) · Zbl 0639.76107
[11] Keller, J. B.; Ruinow, S. I.; Tu, Y. O.: Spatial instability of a jet. Phys. fluids 16, 2052-2055 (1973) · Zbl 0277.76036
[12] Shopov, P.; Minev, P.; Bazhlekov, I.: Numerical method for unsteady viscous hydrodynamical problems with free boundaries. Internat. J. Numer. methods fluids 14, 681-705 (1992) · Zbl 0747.76068
[13] Shopov, P.; Minev, P.; Bazhlekov, I.; Zapryanov, Z.: Hydrodynamical interaction of deformable bubble with a rigid wall at moderate Reynolds numbers. J. fluid mech. 219, 241-271 (1990)
[14] Shopov, P.; Minev, P.: The unsteady motion of a bubble or drop towards a liquid-liquid interface. J. fluid mech. 235, 123-141 (1992) · Zbl 0743.76086
[15] Shokoohi, F.: Numerical investigation of the disintegration of liquid jets. Doctoral thesis (1976) · Zbl 0613.76039
[16] Tjahjadi, M.; Stone, H. A.; Ottino, J. M.: Satellite and subsatellite formation in capillary breakup. J. fluid mech. 243, 297-317 (1992)
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