Effect of miscibility on the linear instability of two-fluid channel flow

International Journal of Multiphase Flow

Volumn 30, Issue 10, 2004, Pages 1177-1192

  Govindarajan, Rama ^a  

^a JAWAHARLAL NEHRU CENTRE FOR ADVANCED SCIENTIFIC RESEARCH   (India)

Author keywords

Instability of two fluid flow; Miscibility; Viscosity stratification

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; DIFFUSION; REYNOLDS NUMBER; STABILITY; VISCOSITY;

FINITE-MISCIBILITY REGIMES; IMMISCIBLE INTERFACES; LINEAR INSTABILITY; MASS DIFFUSIVITY;

SOLUBILITY;

CHANNEL FLOW; DIRECT NUMERICAL SIMULATION; MISCIBILITY; STRATIFIED FLUID; TWO-PHASE FLOW;

EID: 4644241959     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2004.06.006     Document Type: Article

References (27)

1. Cao, Q., Ventresca, A.L., Sreenivas, K.R., Prasad, A.K., 2003. Instability due to viscosity-stratification downstream of a centerline injector. Canadian J. Chem. Eng. 81, 913-922.
2. Fernandez, J., Kurowski, P., Petitjeans, P., Meiburg, E., 2002. Density-driven unstable flows of miscible fluids in a Hele-Shaw cell. J. Fluid Mech. 451, 239-260.
3. Govindarajan, R., L'vov, V.S., Procaccia, I., 2001. Retardation of the onset of turbulence by minor viscosity contrasts. Phys. Rev. Lett. 87, 174501.
4. Govindarajan, R., L'vov, V.S., Procaccia, I., Sameen, A., 2003. Stabilization of hydrodynamic flows by small viscosity variations. Phys. Rev. E 67, 026310.
5. Govindarajan, R., Narasimha, R., 1999. A low-order parabolic theory for boundary-layer stability. Phys. Fluids 11, 1449-1458.
6. Hooper, A.P., Boyd, W.G.C., 1987. Shear-flow instability due to a wall and a viscosity discontinuity at the interface. J. Fluid Mech. 170, 201-225.
7. Joseph, D.D., Renardy, Y., 1993. Fundamentals of Two-fluid Dynamics, Part I: Mathematical Theory and Applications. Springer-Verlag.
8. Lajeunesse, E., Martin, J., Rakotomalala, N., Salin, D., Yortsos, Y.C., 1999. Miscible displacement in a Hele-Shaw cell at high rates. J. Fluid Mech. 398, 299-319.
9. Laure, P., Le Meur, H., Demay, Y., Saut, S.C., Scotto, S., 1997. Linear stability of multilayer plane Poiseuille flows of Oldroyd B fluids. J. Non-Newt. Fluid Mech. 71, 1-23.
10. Lin, C.C., 1945a. On the stability of 2D parallel flows, Part I - general theory. Quart. Appl. Math. 3, 117-142.
11. Lin, C.C., 1945b. On the stability of 2D parallel flows Part II - stability in an inviscid fluid. Quart. Appl. Math. 3, 218-234.
12. Lin, C.C., 1946. On the stability of 2D parallel flows, Part III - stability in a viscous fluid. Quart. Appl. Math. 3, 277-301.
13. Mack, L.M., 1976. A numerical study of the temporal eigenvalue spectrum of the Blasius boundary layer. J. Fluid Mech. 73, 497-520.
14. Orszag, S.A., Kells, L.C., 1980. Transition to turbulence in plane Poiseuille and plane Couette flow. J. Fluid Mech. 96, 159-205.
15. Petitjeans, P., Maxworthy, T., 1996. Miscible displacements in capillary tubes. Part 1. Experiments. J. Fluid Mech. 326, 37-56.
16. Pinarbasi, A., Liakopolous, A., 1995. The effect of variable viscosity on the interfacial stability of two-layer Poiseuille flow. Phys. Fluids 7, 1318-1324.
17. Ranganathan, R., Govindarajan, R., 2001. Stabilization and destabilization of channel flow by location of viscosity-stratified fluid layer. Phys. Fluids 13, 1-3.
18. Reddy, S.C., Schmid, P.J., Baggett, J.S., Henningson, D.S., 1998. On stability of stream-wise streaks and transition thresholds in plane channel flows. J. Fluid Mech. 365, 269-303.
19. Renardy, Y., 1987. Viscosity and density stratification in vertical Poiseuille flow. Phys. Fluids 30, 1638-1648.
20. Scoffoni, J., Lajeunesse, E., Homsy, G.M., 2001. Interface instabilities during displacements of two miscible fluids in a vertical pipe. Phys. Fluids 13, 553-556.
21. South, M.J., Hooper, A.P., 1999. Linear growth in two-fluid plane Poiseuille flow. J. Fluid Mech. 381, 123-139.
22. Timoshin, S.N., Hooper, A.P., 2000. Mode coalescence in a two-fluid boundary layer stability problem. Phys. Fluids 12, 1969-1978.
23. Wall, D.P., Wilson, S.K., 1996. The linear stability of channel flow of fluid with temperature-dependent viscosity. J. Fluid Mech. 323, 107-132.
24. Wall, D.P., Wilson, S.K., 1997. The linear stability of flat-plate boundary layer flow of fluid with temperature-dependent viscosity. Phys. Fluids 9, 2885-2898.
25. Wazzan, A.R., Okumara, T.T., Smith, A.M.O., 1970. The stability and transition of heated and cooled incompressible boundary layers. In: Proceedings of Fourth International Heat Transfer Conference, Paris.
26. Yih, C.S., 1955. Stability of two-dimensional parallel floes to three dimensional disturbances. Quart. Appl. Math. 12, 434.
27. Yih, C.S., 1967. Instability due to viscosity stratification. J. Fluid Mech. 27, 337-352.