Abstract
The capillary instability and breakup of a cylindrical liquid column surrounded by a bounded immiscible fluid are investigated. The process of disintegration is simulated numerically using a second order finite difference method applied to the streamfunction-vorticity formulation of the governing equations. All viscous and nonlinear terms are included. In the case of liquid jet into vacuum, the results obtained with the present numerical approach are in good agreement with those of previous authors. In the case of liquid jet into viscous liquid phase, the applicability of the numerical procedure is verified in comparison with the results of the linear stability analysis. Basic characteristics of the disintegration such as drop sizes are compared to existing experimental data obtained under the condition of zero relative velocity between the jet and the continuous phase. The influence of the physical properties is analyzed as well as that of the rigid cylinder bounding the continuous phase at some distance. The calculation code has been extended to study the disintegration of liquid bridges.
Preview
Unable to display preview. Download preview PDF.
References
L. RAYLEIGH, Proc. Lond. Math. Soc., 10, pp. 4–13 (1878).
C. WEBER, Z. Angew, Math. Mech., 11, pp. 136–154 (1931).
S. TOMOTIKA, Proc. R. Soc. Lond., Cl A, pp. 322–337 (1935).
M. C. YUEN, J. Fluid Mech., 33, pp. 151–163 (1968).
D. F. RUTLAND and G. J. JAMESON, Chem. Eng. Sci., 25, pp. 1689–1698 (1970).
F. SHOKOOHI “Numerical Investigation of the Disintegration of Liquid Jets”, Ph.D. Thesis, Colombia University, New York, (1976).
P. LAFRANCE, Phys. Fluid, 18, 4, pp. 428–432 (1975).
Y. KITAMURA, H. MISHIMA and T. TAKAHASHI, The Canadian J. Chem. Eng., 60, pp. 723–731 (1982).
M. CHACHA, “Instabilités Hydrodynamiques des Jets en Systèmes Liquide-Fluide: Analyse Numérique”, Thése de doctorat, Université de Provence, Marseille, (1995).
J. MESEGUER, J. Fluid Mech., 130, pp. 123–151 (1983).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1996 Springer-Verlag
About this paper
Cite this paper
Chacha, M., Occelli, R., Tadrist, L., Radev, S. (1996). Disintegration of cylindrical liquid columns in liquid-fluid systems: Direct numerical simulation. In: Steinchen, A. (eds) Dynamics of Multiphase Flows Across Interfaces. Lecture Notes in Physics, vol 467. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102673
Download citation
DOI: https://doi.org/10.1007/BFb0102673
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60848-6
Online ISBN: 978-3-540-49620-5
eBook Packages: Springer Book Archive