Convective/absolute instability in miscible core-annular flow. Part 1: Experiments

Journal of Fluid Mechanics

Volumn 618, Issue , 2009, Pages 305-322

  D'Olce, M ^a   Martin, J ^a   Rakotomalala, N ^a   Salin, D ^a   Talon, L ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

REYNOLDS NUMBER;

AXISYMMETRIC; CO CURRENTS; CORE RADIUS; CORE-ANNULAR; CORE-ANNULAR FLOW; MISCIBLE FLUID; TWO CONTROL PARAMETERS; TWO-FLUID;

STABILITY;

EXPERIMENTAL STUDY; FLUID FLOW; PIPE FLOW; REYNOLDS NUMBER; VISCOSITY; VISCOUS FLOW;

EID: 57749183180     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008004230     Document Type: Article

References (38)

1. ALBERT, F. & CHARRU, F. 2000 Small Reynolds number instabilities in two-layer Couette flow. Eur. J. Mech. B-Fluids 19, 229-256.
2. BAI, R., CHEN, K. & JOSEPH, D. D. 1992 Lubricated pipelining: stability of core-annular flow. Part 5. Experiments and comparison with theory. J. Fluid Mech. 240, 97-132.
3. BALASUBRAMANIAM, R., RASHIDNIA, N., MAXWORTHY, T. & KUANG, J. 2005 Instability of miscible interfaces in a cylindrical tube. Phys. Fluids 17, 052103.
4. BREVDO, L., LAURE, P. & BRIDGES, T. J. 1999 Linear pulse structure and signalling in a film flow on an inclined plane. J. Fluid Mech. 396, 37-71.
5. BRIGGS, R. J. 1964 Electron-Stream Interaction with Plasma. MIT Press.
6. CAO, Q., VENTRESCA, A. L., SREENIVAS, K. R. & PRASAD, A. K. 2003 Instability due to viscosity stratification downstream of a centerline injector. Can. J. Chem. 81, 913-922.
7. CHARRU, F. & HINCH, E. J. 2000 'Phase diagram' of interfacial instabilities in a two-layer Couette flow and mechanism for the long-wave instability. J. Fluid Mech. 414, 195-223.
8. CHEN, C.-Y. & MEIBURG, E. 1996 Miscible displacement in capillary tubes. Part 2. Numerical simulations. J. Fluid Mech. 326, 57-67.
9. CHOMAZ, J.-M. 2003 Fully nonlinear dynamics of parallel wakes. J. Fluid Mech. 495, 57-75.
10. CHOMAZ, J.-M. 2005 Global instabilities in spatially developing flows: Non-normality and nonlinearity. Annu. Rev. Fluid Mech. 37, 357-392.
11. CHOMAZ, J.-M., HUERRE, P. & REDEKOPP, L. G. 1988 Bifurcations to local and global modes in spatially developing flows. Phys. Rev. Lett. 60, 25-28.
12. COUAIRON, A. & CHOMAZ, J.-M. 1997a Absolute and convective instabilities, front velocities and global modes in nonlinear systems. Phys. D 108, 236-276.
13. COUAIRON, A. & CHOMAZ, J.-M. 1997b Pattern selection in the presence of a cross flow. Phys. Rev. Lett. 79, 2666-2669.
14. DUPRAT, C., RUYER-QUIL, C., KALLIADASIS, S. & GIORGIUTTI-DAUPHINE, F. 2007 Absolute and convective instabilities of a viscous film flowing down a vertical fiber. Phys. Rev. Lett. 98, 244502.
15. GONDRET, P., ERN, P., MEIGNIN, L. & RABAUD, M. 1999 Experimental evidence of a nonlinear transition from convective to absolute instability. Phys. Rev. Lett. 82, 1442-1445.
16. GUILLOT, P., COLIN, A., UTADA, A. S. & ADJARI, A. 2007 Stability of a jet in confined pressure-driven biphasic flows at low Reynolds numbers. Phys. Rev. Lett. 99, 104502.
17. HALLBERG, M. P. & STRYKOWSKI, P. J. 2008 Open-loop control of fully nonlinear self-excited oscillations. Phys. Fluids 20, 041703.
18. HICKOX, C. E. 1971 Instability due to viscosity and density stratification in axisymmetric pipe flow. Phys. Fluids 14, 251.
19. HINCH, E. J. 1984 A note on the mechanism of the instability at the interface between two shearing fluids. J. Fluid Mech. 144 463-465.
20. HU, H. H. & JOSEPH, D. D. 1989 Lubricated pipelining: Stability of core-annular flow. Part 2. J. Fluid Mech. 205, 395-396.
21. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Annu. Rev. Fluid Mech. 22, 473-537.
22. HUERRE, P. & ROSSI, M. 1998 Hydrodynamic instabilities in open flows. In Hydrodynamics and Nonlinear Instabilities (ed. C. Godreche & P. Manneville). Cambridge University Press.
23. JOSEPH, D. D., BAI, R., CHEN, K. P. & RENARDY, Y. Y. 1997 Core-annular flows. Ann. Rev. Fluid Mech. 29, 65-90.
24. JOSEPH, D. D. & RENARDY, Y. Y. 1992a Fundamentals of Two-Fluid Dynamics. Part I. Mathematical Theory and Applications. Springer-Verlag.
25. JOSEPH, D. D. & RENARDY, Y. Y. 1992b Fundamentals of Two-Fluid Dynamics. Part II. Lubrificated Transport, Drops and Miscible Liquids Springer-Verlag.
26. JOSEPH, D. D., RENARDY, M. & RENARDY, Y. 1984 Instability of the flow of two immiscible liquids with different viscosities in a pipe. J. Fluid Mech. 141, 309-317.
27. KOURIS, C. & TSAMOPOULOS, J. 2001 Dynamics of axisymmetric core-annular flow in a straight tube. I. The more viscous fluid in the core, bamboo waves. Phys. Fluids 13, 841-858.
28. KOURIS, C. & TSAMOPOULOS, J. 2002 Dynamics of the axisymmetric core-annular flow. II. The less viscous fluid in the core, saw tooth waves. Phys. Fluids 14, 1011-1029.
29. KUANG, J., MAXWORTHY, T. & PETITJEANS, P. 2003 Miscible displacements between silicone oils in capillary tubes. Eur. J. Mech. B 22, 271-277.
30. LE BARS, M. & DAVAILLE, A. 2002 Stability of thermal convection in two superimposed miscible viscous fluids. J. Fluid Mech. 471 339-363.
31. D'OLCE, M., MARTIN, J., RAKOTOMALALA, N., SALIN, D. & TALON, L. 2008 Pearl and mushroom instability patterns in two miscible fluids core annular flow. Phys. Fluids 20, 24104.
32. PAPAGEORGIOU, D. T., MALDARELLI, C. & RUMSCHITZKI, D. S. 1990 Nonlinear interfacial stability of core-annular film flows. Phys. Fluids 2, 340-352.
33. PETITJEANS, P. & MAXWORTHY, T. 1996 Miscible displacements in capillary tubes. Part 1. Experiments. J. Fluid Mech. 326, 37-56.
34. PIER, B. 2003 Open-loop control of absolutely unstable domains. Proc. R. Soc. London Se A 459, 1105-1115.
35. SCOFFONI, J., LAJEUNESSE, E. & HOMSY, G. M. 2001 Interface instabilities during displacement of two miscible fluids in a vertical pipe. Phys. Fluids 13, 553-556.
36. SELVAM, B., MERK, S., GOVINDARAJAN, R. & MEIBURG, E. 2007 Stability of miscible core-annular flow with viscosity stratification. J. Fluid Mech. 592, 23-49.
37. SELVAM, B., TALON, L., LESSHAFFT, L. & MEIBURG, E. 2009 Convective/absolute instability in miscible core-annular flow. Part 2. Numerical simulation and nonlinear global modes. J. Fluid Mech. 618, 323-348.
38. TORREST, R. S. 1982 Rheological properties of aqueous solutions of the polymer natrosol 250 hhr. J. Rheol. 26, 143-151.