Breakup of a liquid jet containing solid particles: A singularity approach

SIAM Journal on Applied Mathematics

Volumn 70, Issue 3, 2009, Pages 885-900

  Hameed, Muhammad ^a   Morris, Jeffrey F ^b  

^a UNIVERSITY OF SOUTH CAROLINA UPSTATE   (United States)

^b Benjamin Levich Institute for Physico Chemical Hydrodynamics   (United States)

Author keywords

Capillary instability; Jet breakup; Particle; Singularity; Stresslet

Indexed keywords

AXIS OF SYMMETRY; CAPILLARY INSTABILITY; COMBINED FLOW; COMPLEX DYNAMICS; EXPERIMENTAL OBSERVATION; FINITE-DIFFERENCE SCHEME; FLOW INDUCED; FORCE DIPOLES; GOVERNING EQUATIONS; HYDRODYNAMIC FORCES; JET BREAKUP; KINEMATIC CONDITION; LIQUID JET BREAKUP; LIQUID JETS; LONG WAVELENGTH; MODEL EQUATIONS; SINGULARITY; SOLID PARTICLES; STOKES FLOWS; STRESSLET; THEORETICAL CALCULATIONS; TWO PARTICLES; WELL-POSED PROBLEMS;

MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER);

DYNAMICS;

EID: 84858651355     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/080715986     Document Type: Article

References (17)

1. L. Rayleigh, On the stability of jets, Proc. London Math. Soc., 10 (1878), pp. 4-13.
2. A. C. Rust and M. Manga, Bubble shapes and orientations in low Re simple shear flow, J. Colloid Interface Sci., 249 (2002), pp. 476-480. (Pubitemid 34969390)
3. C. Weber, On the breakdown of a liquid jet, Z. Angew. Math. Phys., 1 (1931), pp. 11-14.
4. J. Eggers, Universal pinching of 3d axisymmetric free surface flows, Phys. Rev. Lett., 83 (1993), pp. 3458-3460.
5. D. Papageorgiou, On the breakup of viscous liquid threads, Phys. Fluids, 7 (1995), pp. 1529- 1544.
6. J. Eggers, Nonlinear dynamics and breakup of free surface flows, Rev. Modern Phys., 69 (1997), pp. 865-929. (Pubitemid 127360058)
7. X. Zhao, J. R. G. Evans, M. J. Edirisinghe, and H. Song, Ceramic freeforming using an advanced multinozzle ink-jet printer, J. Material Synth. Process., 9 (2001), pp. 319-327. (Pubitemid 35401763)
8. R. J. Furbank and J. F. Morris, An experimental study of particle effects on drop formation, Phys. Fluids, 16 (2004), pp. 1777-1790. (Pubitemid 38672678)
9. R. J. Furbank and J. F. Morris, Pendant drop thread dynamics and pinch-off in particle laden liquids, Int. J. Multiphase Flow, 33 (2007), pp. 448-468. (Pubitemid 46428467)
10. G. K. Batchelor, The stress system in a suspension of force-free particles, J. Fluid Mech., 41 (1970), pp. 545-570.
11. C. Pozrikidis, Boundary Integral and Singularity Method for Linearized Viscous Flow, Cambridge University Press, Cambridge, UK, 1992.
12. J. R. Blake and A. T. Chwang, Fundamental singularities of viscous flow, Part 1: The image system in the vicinity of a stationary no-slip boundary, J. Engrg. Math., 8 (1974), pp. 23-29.
13. A. T. Chwang and T. Y. Wu, Hydrodynamics of low-Reynolds number flows, Part 2: The singularity method for Stokes flows, J. Fluid Mech., 67 (1975), pp. 787-815.
14. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications, Butterworth-Heinemann, Boston, MA, 1991, pp. 105-126.
15. O. A. Ladyzhenskaya, The Mathematical Theory of Viscous Incompressible Flows, Gordon and Breach, New York, 1963, pp. 856-869.
16. H. Luo and C. Pozrikidis, Numerical simulation of particle encapsulation due to liquid thread breakup, Comput. & Fluids, 38 (2009), pp. 564-571.
17. M. G. Blyth and C. Pozrikidis, Particle encapsulation due to thread breakup in Stokes flow, J. Fluid Mech., 617 (2008), pp. 141-166.