The effects of insoluble surfactants on the linear stability of a core-annular flow

Journal of Fluid Mechanics

Volumn 541, Issue , 2005, Pages 115-142

  Wei, Hsien Hung ^a   Rumschitzki, David S ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; EQUATIONS OF MOTION; INTERFACES (COMPUTER); LINEAR EQUATIONS; PERTURBATION TECHNIQUES; SHEAR FLOW; SOLUBILITY; SURFACE ACTIVE AGENTS; VISCOSITY;

CAPILLARY FORCES; CORE-ANNULAR FLOW; FILM DYNAMICS; INSOLUBLE SURFACTANTS; INTERFACE STABILITY; LINEAR STABILITY; MARANGONI NUMBER;

COMPUTATIONAL FLUID DYNAMICS;

ANNULAR FLOW; FLUID INTERFACE; FLUID MECHANICS; MARANGONI EFFECT; SHEAR FLOW; STABILITY; SURFACTANT;

EID: 27744500633     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005005860     Document Type: Article

References (43)

1. Avery, M. E. & Mead, J. 1959 Surface properties in relation to atelectasis and hyaline membrane disease. AMA J. Dis. Child 97, 517-523.
2. Babadagli, T. 2003 Selection of proper enhanced oil recovery fluid for efficient matrix recovery in fractured oil reservoirs. Colloid Surface A 223, 157-175.
3. Blyth, M. G. & Pozrikidis, C. 2004 Effect of surfactants on the stability of two-layer channel flow. J. Fluid Mech. 505, 59-86.
4. Bogy, D. B. 1979 Drop formation in a circular liquid jet. Annu. Rev. Fluid Mech. 11, 207-228.
5. Carroll, B. & Lucassen, J. 1974 Effect of surface dynamics on the process of droplet formation from supported and free liquid cylinders. J. Chem. Soc. Faraday Trans. 70, 1228-1239.
6. Cassidy, K. J., Halpern, D., Ressler, B. G. & Grotberg, J. B. 1999 Surfactant effects in model airway closure experiments. J. Appl. Physiol. 87, 415-427.
7. Chandrasekhar, S. 1961 Hydrodynamics and Hydromagnetic Stability. Dover.
8. Craster, R. V., Matar, O. K. & Papageorgiou, D. T. 2002 Pinchoff and satellite formation in surfactant covered viscous threads. Phys. Fluids 14, 1364-1376.
9. Dijkstra, H. A. & Steen, P. H. 1991 Thermocapillary stabilization of the capillary breakup of an annular film of liquid. J. Fluid Mech. 229, 205-228.
10. Espinosa, F. F. & Kamm, R. D. 1999 Bolus dispersal through the lungs in surfactant replacement therapy. J. Appl. Physiol. 86, 391-410.
11. Frenkel, A. L., Babchin, A. J., Levich, B. G., Shlang T. & Sivashinsky, G. I. 1987 Annular flows can keep unstable film from breakup: Nonlinear saturation of capillary instability. J. Colloid Interface Sci. 115, 225-233.
12. Frenkel, A. L. & Halpern, D. 2002 Stokes-flow instability due to interfacial surfactant. Phys. Fluids 14, L45-L48.
13. Georgiou, E. C., Papageorgiou, D. T., Maldarelli, C. & Rumschitzki, D. S. 1992 An asymptotic theory for the linear stability of a core-annular flow in the thin annular limit. J. Fluid Mech. 243, 653-677.
14. Goren, S. L. 1962 The instability of an annular thread of fluid. J. Fluid Mech. 12, 309-319.
15. Goussis, D. A. & Kelly, R. E. 1991 Surface wave and thermocapillary instability in a liquid film-flow. J. Fluid Mech. 223, 25-45.
16. Halpern, D. & Frenkel, A. L. 2003 Destabilization of a creeping flow by interfacial surfactant: Linear theory extended to all wavenumbers. J. Fluid Mech. 485, 191-220.
17. Halpern, D. & Grotberg, J. B. 1993 Surfactant effects on fluid-elastic instabilities of liquid-lined flexible tubes: A model of airway closure. J. Biomech. Engng 115, 271-277.
18. Halpern, D., Jensen, O. E. & Grotberg, J. B. 1998 A theoretical study of surfactant and liquid delivery into the lung. J. Appl. Physiol. 85, 333-352.
19. Hammond, P. S. 1983 Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 137, 363-384.
20. Hansen, S. Peters, G. W. M. & Meijer, H. E. H. 1999 The effect of surfactant on the stability of a fluid filament embedded in a viscous fluid. J. Fluid Mech. 382, 331-349.
21. Hickox, C. E. 1971 Instability due to viscosity and density stratification in axisymmetrical pipe flow. Phys. Fluids 14, 251.
22. Ji, W. & Setterwall, F. 1994 On the instabilities of vertical falling liquid films in the presence of surface-active solute. J. Fluid Mech. 278, 297-323.
23. Kerchman, V. 1995 Strongly nonlinear interfacial dynamics in core-annular flows. J. Fluid Mech. 290, 131-166.
24. Kwak, S. & Pozrikidis, C. 2001 Effect of surfactants on the instability of a liquid thread or annular layer. Part I: Quiescent fluids. Intl J. Multiphase Flow 27, 1-37.
25. Lin, S. P. 1970 Stabilizing effects of surface-active agents on a film flow. AIChE J. 16, 375-379.
26. Macklem, P. T., Proctor, D. F. & Hogg, J. C. 1970 Stability of peripheral airways. Respir. Physiol. 8, 191-203.
27. Otis, D. R., Johnson, J. M., Pedley, T. J. & Kamm, R. D. 1993 Role of pulmonary surfactant in airway closure: A computational study. J. Appl. Physiol. 75, 1323-1333.
28. Papageorgiou, D. T., Maldarelli, C. & Rumschitzki, D. S. 1990 Nonlinear interfacial stability of core annular flows. Phys. Fluids A 2, 340-352.
29. Park, C. W. & Homsy, G. M. 1984 Two-phase displacement in Hele-Shaw cells: Theory. J. Fluid Mech. 141, 257-287.
30. Porzrikidis, C. 2003 Effect of surfactants on film flow down a periodic wall. J. Fluid Mech. 496, 105-127.
31. Preziosi, L., Chen, K. & Joseph, D. D. 1989 Lubricated pipelining: stability of core-annular flow. J. Fluid Mech. 201, 323-356.
32. Rayleigh, L. 1879 On the capillary phenomena of jets. Proc. R. Soc. A 29, 71.
33. Slattery, J. C. 1974 Interfacial effects in the entrapment and displacement of residual oil. AIChE. J. 20, 1145-1154.
34. Sleigh, M. A. 1991 Mucus propulsion. The Lung: Scientific Foundations (ed. R. G. Crystal & J. B. West), chap. 3.1.4. Raven, New York.
35. Smith, M. K. 1990 The long wave instability in heat or cooled inclined liquid layers. J. Fluid Mech. 219, 337-360.
36. Tomokita, S. 1935 On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous liquid. Proc. R. Soc. A 150, 322-337.
37. Waxman, A. M. 1984 Dynamics of a couple-stress fluid membrane. Stud. Appl. Maths 70, 63.
38. Wei, H.-H. & Rumschitzki, D. S. 2002 The linear stability of a core-annular flow in an asymptotically corrugated tube. J. Fluid Mech. 466, 113-147.
39. Whitaker, S. & Jones, L. O. 1966 Stability of falling liquid films. Effect of interface and interfacial mass transport. AIChE. J. 12, 421-431.
40. Widdicombe, J. H. 2002 Regulation of the depth and composition of airway surface liquid. J. Anat. 201, 313-318.
41. Wong, H., Rumschitzki, D. S. & Maldarelli, C. 1996 On the surfactant mass balance at a deforming fluid interface. Phys. Fluids 8, 3203-3204.
42. Yeates, D. B. 1991 Mucus rheology. The Lung: Scientific Foundations (ed. R. G. Crystal & J. B. West), chap. 3.1.5. Raven, New York.
43. Yih, C.-S. 1967 Instability due to viscosity stratification. J. Fluid Mech. 27, 337-352.