Numerical studies of cusp formation at fluid interfaces in Stokes flow

Journal of Fluid Mechanics

Volumn 357, Issue , 1998, Pages 29-57

  Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); COALESCENCE; COMPUTER SIMULATION; DEFORMATION; FINITE VOLUME METHOD; PHASE INTERFACES; SURFACE ACTIVE AGENTS; SURFACE TENSION; VISCOSITY OF LIQUIDS; VISCOUS FLOW;

ANTANOVSKII FLOW; BOUNDARY INTEGRAL METHOD; SHERWOOD FLOW; STOKES FLOW;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0031997731     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007866     Document Type: Article

References (25)

1. ANTANOVSKII, L. K. 1994a Quasi-steady deformation of a two-dimensional bubble placed within a potential viscous flow. Meccanica 29, 27-42.
2. ANTANOVSKII, L. K. 1994b Influence of surfactants on a creeping free-boundary flow induced by two counter-rotating horizontal thin cylinders. Eur. J. Mech. B/Fluids 13, 73-92.
3. ANTANOVSKII, L. K. 1994c A plane inviscid incompressible bubble placed within a creeping viscous flow: formation of a cusped bubble. Eur. J. Mech. B/Fluids 13, 491-509.
4. ANTANOVSKII, L. K. 1996 Formation of a pointed drop in Taylor's four-roller mill. J. Fluid Mech. 327, 325-341.
5. BETELÚ, S. 1997 Flujos de Stokes en el entorno de puntos singulares de sperficies libres. Doctoral dissertation, Universidad Nacional del Centro de la Provinci e Buenos Aires.
6. BETELÚ, S., DIEZ, J. & GRATTON, R. 1997 Cusped ripples at the plane surface of a viscous liquid. Research manuscript.
7. BRUIJN, R. A. DE 1993 Tip-streaming of drops in simple shear flow. Chem. Engng Sci. 48, 277-284.
8. BUCKMASTER, J. D. 1972 Pointed bubbles in slow viscous flow. J. Fluid Mech. 55, 385-400.
9. HOPPER, R. W. 1990 Plane Stokes flow driven by capillarity on a free surface. J. Fluid Mech. 213, 349-375.
10. JEONG, J.-T. & MOFFATT, H. K. 1992 Free-surface cusps associated with flow at low Reynolds number. J. Fluid Mech. 241, 1-22.
11. JOSEPH, D. D. 1992 Understanding cusped interfaces. J. Non-Newtonian Fluid Mech. 44, 127-148.
12. JOSEPH, D. D., NELSON, J., RENARDY, M. & RENARDY, Y. 1991 Two-dimensional cusped interfaces. J. Fluid Mech. 223, 383-409.
13. LI, X. & POZRIKIDIS, C. 1997 Effect of surfactants on drop deformation and on the rheology of dilute emulsions in Stokes flow. J. Fluid Mech. 341, 165-194.
14. MILLIKEN, W. J., STONE, H. A. & LEAL, L. G. 1993 The effect of surfactant on the transient motion of Newtonian drops. Phys. Fluids A 5, 69-79.
15. PAWAR, Y. & STEBE, K. J. 1996 Marangoni effects on drop deformation in an extensional flow: the role of surfactant physical chemistry. I. Insoluble surfactants. Phys. Fluids A 8, 1738-1751.
16. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
17. POZRIKIDIS, C. 1997a Introduction to Theoretical and Computational Fluid Dynamics. Oxford University Press.
18. POZRIKIDIS, C. 1997b Numerical studies of singularity formation at free surfaces and fluid interfaces in two-dimensional Stokes flow. J. Fluid Mech. 331, 145-167.
19. RICHARDSON, S. 1968 Two-dimensional bubbles in slow viscous flow. J. Fluid Mech. 33, 475-493.
20. RICHARDSON, S. 1997 Two-dimensional Stokes flow with time-dependent free boundaries driven by surface tension. Eur. J. Appl. Maths 8, 311-329.
21. SHERWOOD, J. D. 1984 Tip streaming from slender drops in a nonlinear extensional flow. J. Fluid Mech. 144, 281-295.
22. STONE, H. A & LEAL, L. G. 1990 The effects of surfactants on drop deformation and breakup. J. Fluid Mech. 220, 161-186.
23. VERSTEEG, H. K. & MALALASEKERA, W. 1995 An Introduction to Computational Fluid Dynamics; the Finite Volume Method. Longman.
24. YON, S. & POZRIKIDIS, C. 1998 A finite-volume/boundary-element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop. Research manuscript.
25. YOUNGREN, G. K. & ACRIVOS, A. 1976 On the shape of a gas bubble in a viscous extensional flow. J. Fluid Mech. 76, 433-442.