Instability of miscible interfaces in a cylindrical tube

Physics of Fluids

Volumn 17, Issue 5, 2005, Pages 1-11

  Balasubramaniam, R ^a   Rashidnia, N ^a   Maxworthy, T ^b   Kuang, J ^b  

^a NASA GLENN RESEARCH CENTER   (United States)

^b UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; GRAVITATION; REYNOLDS NUMBER; STABILITY; VISCOSITY; VISCOUS FLOW;

DISPLACEMENT SPEED; MISCIBLE INTERFACES; PECLET NUMBER; SILICONE OILS;

INTERFACES (MATERIALS);

MISCIBILITY; VISCOUS FLUID;

EID: 20444425691     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1884645     Document Type: Article

References (17)

1. G. M. Homsy, "Viscous fingering in porous media," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.19.1.271 19, 271 (1987).
2. P. Petitjeans and T. Maxworthy, "Miscible displacements in capillary tubes, Part 1. Experiments," J. Fluid Mech. JFLSA70022-1120 326, 37 (1996).
3. G. I. Taylor, "Deposition of a viscous fluid on the wall of a tube," J. Fluid Mech. JFLSA70022-1120 10, 161 (1961).
4. J. Kuang, T. Maxworthy, and P. Petitjeans, "Miscible displacements between silicone oils in capillary tubes," Eur. J. Mech. B/Fluids EJBFEV0997-754610.1016/S0997-7546(03)00035-9 22, 271 (2003).
5. C. H. Chen and E. Meiburg, "Miscible displacements in capillary tubes, Part 2. Numerical simulations," J. Fluid Mech. JFLSA70022-1120 326, 57 (1996).
6. E. Lajeunesse, J. Martin, N. Rakotomalala, D. Salin, and Y. C. Yortsos, "Miscible displacement in a Hele-Shaw cell at high rates," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099006357 398, 299 (1999).
7. J. Scoffoni, E. Lajeunesse, and G. M. Homsy, "Interface instabilities during displacement of two miscible fluids in a vertical pipe," Phys. Fluids PHFLE61070-663110.1063/1.1343907 13, 553 (2001).
8. R. Bai, K. Chen, and D. D. Joseph, "Lubricated pipelining: Stability of core-annular flow, Part 5. Experiments and comparison with theory," J. Fluid Mech. JFLSA70022-1120 240, 97 (1992).
9. N. Rashidnia, R. Balasubramaniam, J. Kuang, P. Petitjeans, and T. Maxworthy, "Measurement of the diffusion coefficient of miscible fluids using both interferometry and Wiener's method," Int. J. Thermophys. IJTHDY0195-928X 22, 547 (2001).
10. J. Kuang, P. Petitjeans, and T. Maxworthy, "Velocity fields and streamline patterns of miscible displacements in cylindrical tubes," Exp. Fluids EXFLDU0723-4864 37, 301 (2004).
11. C. S. Yih, "Instability due to viscosity stratification," J. Fluid Mech. JFLSA70022-1120 27, 337 (1967).
12. C. E. Hickox, "Instability due to viscosity and density stratification in axisymmetric pipe flow," Phys. Fluids PFLDAS0031-917110.1063/1.1693422 14, 251 (1971).
13. P. Ern, F. Charru, and P. Luchini, "Stability analysis of a shear flow with strongly stratified viscosity," J. Fluid Mech. JFLSA70022-1120 496, 295 (2003).
14. H. H. Hu and N. Patankar, "Non-axisymmetric instability of core-annular flow," J. Fluid Mech. JFLSA70022-1120 290, 213 (1995).
15. Y. Y. Renardy, "Snakes and cork-screws in core-annular down-flow of two fluids," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112097005351 340, 297 (1997).
16. Z. Yang and Y. C. Yortsos, "Asymptotic solutions of miscible displacements in geometries of large aspect ratio," Phys. Fluids PHFLE61070-663110.1063/1.869149 9, 286 (1997).
17. E. J. Hinch, "Instability at the interface between two shearing fluids," J. Fluid Mech. JFLSA70022-1120 144, 463 (1984).