Pressure corrections for potential flow analysis of capillary instability of viscous fluids

Journal of Fluid Mechanics

Volumn 522, Issue , 2005, Pages 383-394

  Wang, J ^a   Joseph, D D ^a   Funada, T ^b  

^a University of Minnesota   (United States)

^b NUMAZU COLLEGE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CAPILLARITY; MULTIPHASE FLOW; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; STRESS ANALYSIS;

FULLY VISCOUS FLOW (FVF); POTENTIAL FLOW ANALYSIS; VISCOUS POTENTIAL FLOW (VPF);

VISCOUS FLOW;

FLOW ANALYSIS; FLUID FLOW; MATHEMATICAL ANALYSIS; PRESSURE; VISCOSITY;

FLUID MECHANICS; INSTABILITY; PRESSURE; VISCOSITY;

EID: 13444267498     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004002009     Document Type: Article

References (12)

1. Funada, T. & Joseph, D. D. 2002 Viscous potential flow analysis of capillary instability. Intl J. Multiphase Flow 28, 1459-1478.
2. Funada, T., Joseph, D. D., Maehara, T. & Yamashita, S. 2004 Ellipsoidal model of the rise of a Taylor bubble in a round tube. Under review.
3. Joseph, D. D. 2003 Rise velocity of a spherical cap bubble. J. Fluid Mech. 453, 109-132.
4. Joseph, D. D., Belanger, J. & Beavers, G. S. 1999 Breakup of a liquid drop suddenly exposed to a high-speed airstream. Intl J. Multiphase Flow 25, 1263-1303.
5. Joseph, D. D. & Wang, J. 2004 The dissipation approximation and viscous potential flow. J. Fluid Mech. 505, 365-377.
6. Kang, I. S. & Leal, L. G. 1988a The drag coefficient for a spherical bubble in a uniform streaming flow. Phys. Fluids 31, 233-237.
7. Kang, I. S. & Leal, L. G. 1988b Small-amplitude perturbations of shape for a nearly spherical bubble in an inviscid straining flow (stready shapes and oscillatory motion). J. Fluid Mech. 187, 231-266.
8. Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press (reprinted by Dover 1945).
9. Levich, V. G. 1949 The motion of bubbles at high Reynolds numbers. Zh. Eksp. Teor. Fiz. 19, 18.
10. Moore, D. W. 1963 The boundary layer on a spherical gas bubble. J. Fluid Mech. 16, 161-176.
11. Tomotika, S. 1935 On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. R. Soc. Lond. A 150, 322-337.
12. Wang, J., Joseph, D. D. & Funada, T. 2004 Pressure corrections for potential flow analysis of capillary of two viscous fluids. Submitted.