Theory of breakup of core fluids surrounded by a wetting annulus in sinusoidally constricted capillary channels

Physics of Fluids

Volumn 22, Issue 1, 2010, Pages 1-10

  Beresnev, Igor A ^a   Deng, Wen ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; INTERFACES (MATERIALS); NONLINEAR EQUATIONS; PRESSURE GRADIENT;

COMPUTATIONAL FLUID DYNAMICS CODES; CONSERVATION OF MASS; EVOLUTION EQUATIONS; INITIAL CONFIGURATION; INTERFACE CONFIGURATION; PETROLEUM RECOVERY; STEADY STATE SOLUTION; TEMPORAL EVOLUTION;

INTERFACE STATES;

EID: 77951073965     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.862466     Document Type: Article

References (21)

1. Landau L.D. Lifshitz E.M. Fluid Mechanics 1975, and, (Pergamon, New York).
2. Atherton R.W. Homsy G.M. On the derivation of evolution equations for interfacial waves. Chem. Eng. Commun. 1976, 2:57. CEGCAK, 0098-6445, 10.1080/00986447608960448.
3. Hammond P.S. Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. J. Fluid Mech. 1983, 137:363. JFLSA7, 0022-1120, 10.1017/S0022112083002451.
4. Gauglitz P.A. Radke C.J. An extended evolution equation for liquid film breakup in cylindrical capillaries. Chem. Eng. Sci. 1988, 43:1457. CESCAC, 0009-2509, 10.1016/0009-2509(88)85137-6.
5. Gauglitz P.A. Radke C.J. The dynamics of liquid film breakup in constricted cylindrical capillaries. J. Colloid Interface Sci. 1990, 134:14. JCISA5, 0021-9797, 10.1016/0021-9797(90)90248-M.
6. Tsai T.M. Miksis M.J. Dynamics of a drop in a constricted capillary tube. J. Fluid Mech. 1994, 274:197. JFLSA7, 0022-1120, 10.1017/S0022112094002090.
7. Kouris C. Tsamopoulos J. Core-annular flow in a periodically constricted circular tube. Part 2. Nonlinear dynamics. J. Fluid Mech. 2002, 470:181. JFLSA7, 0022-1120, 10.1017/S0022112002001787.
8. Papageorgiou D.T. Maldarelli C. Rumschitzki D.S. Nonlinear interfacial stability of core-annular film flows. Phys. Fluids A 1990, 2:340. PFADEB, 0899-8213, 10.1063/1.857784.
9. Kerchman V. Strongly nonlinear interfacial dynamics in core-annular flows. J. Fluid Mech. 1995, 290:131. JFLSA7, 0022-1120, 10.1017/S0022112095002448.
10. Wei H.-H. Rumschitzki D.S. The linear stability of a core-annular flow in an asymptotically corrugated tube. J. Fluid Mech. 2002, 466:113. JFLSA7, 0022-1120, 10.1017/S0022112002001210.
11. Wei H.-H. Rumschitzki D.S. The weakly nonlinear interfacial stability of a core-annular flow in a corrugated tube. J. Fluid Mech. 2002, 466:149. JFLSA7, 0022-1120, 10.1017/S0022112002001222.
12. Melrose J.C. Brandner C.F. Role of capillary forces in determining microscopic displacement efficiency for oil recovery by waterflooding. J. Can. Pet. Technol. 1974, (October-December):54. JCPMAM, 0021-9487.
13. Middleman S. Modeling Axisymmetric Flows 1995, (Academic, New York).
14. De Gennes P.-G. Brochard-Wyart F. Quéré D. Capillarity and Wetting Phenomena 2004, and, (Springer, New York).
15. Beresnev I.A. Li W. Vigil R.D. Condition for break-up of non-wetting fluids in sinusoidally constricted capillary channels. Transp. Porous Media 2009, 80:581. TPMEEI, 0169-3913, 10.1007/s11242-009-9381-6.
16. Kouris C. Tsamopoulos J. Concentric core-annular flow in a circular tube of slowly varying cross-section. Chem. Eng. Sci. 2000, 55:5509. CESCAC, 0009-2509, 10.1016/S0009-2509(00)00181-0.
17. Bretherton F.P. The motion of long bubbles in tubes. J. Fluid Mech. 1961, 10:166. JFLSA7, 0022-1120, 10.1017/S0022112061000160.
18. White F.M. Viscous Fluid Flow 2006, 3rd ed. (McGraw-Hill, New York).
19. Bear J. Dynamics of Fluids in Porous Media 1988, (Dover, New York).
20. Preziosi K. Chen K. Joseph D.D. Lubricated pipelines: Stability of flow. J. Fluid Mech. 1989, 201:323. JFLSA7, 0022-1120, 10.1017/S0022112089000960.
21. Hu H.H. Joseph D.D. Lubricated pipelines: Stability of core-annular flow. Part 2. J. Fluid Mech. 1989, 205:359. JFLSA7, 0022-1120, 10.1017/S0022112089002077.