Viscous versus inviscid instability of two-phase mixing layers with continuous velocity profile

Physics of Fluids

Volumn 17, Issue 3, 2005, Pages

  Boeck, Thomas ^a,b   Zaleski, Stéphane ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIZATION; BOUNDARY LAYERS; MIXING; REYNOLDS NUMBER; SHEAR FLOW; SURFACE TENSION; VELOCITY MEASUREMENT; VISCOSITY;

IVISCID STABILITY; TWO-PHASE MIXING LAYERS; VISCOUS STABILITY; WAVENUMBERS;

TWO PHASE FLOW;

LIQUID-LIQUID MIXING;

EID: 15844407115     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1862234     Document Type: Article

References (21)

1. J. C. Lasheras and E. J. Hopfinger, "Liquid jet instability in a coaxial gas stream," Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.32.1.275 32, 275 (2000).
2. P. G. Drazin, Introduction to Hydrodynamic Stability (Cambridge University Press, Cambridge, 2002).
3. C. S. Yih, "Instability due to viscosity stratification," J. Fluid Mech. JFLSA7 0022-1120 67, 337 (1967).
4. S. Özgen, G. Degrez, and G. S. R. Sarma, "Two-fluid boundary layer instability," Phys. Fluids PHFLE 61070-6631 10.1063/1.869798 10, 2746 (1998).
5. Y. Renardy, "Instability at the interface between two shearing fluids in a channel," Phys. Fluids PFLDAS 0031-9171 10.1063/ 1.865346 28, 3441 (1985).
6. A. P. Hooper, "Long-wave instability at the interface between two viscous fluids: Thin layer effects," Phys. Fluids PFLDAS 0031-9171 10.1063/1.864952 28, 1613 (1985).
7. A. P. Hooper and W. G. C. Boyd, "Shear-flow instability at the interface between two viscous fluids," J. Fluid Mech. JFLSA7 0022-1120 128, 507 (1982).
8. A. P. Hooper and W. G. C. Boyd, "Shear-flow instability due to a wall and a viscosity discontinuity at the interface," J. Fluid Mech. JFLSA7 0022-1120 179, 201 (1987).
9. E. Villermaux, "Mixing and spray formation in coaxial jets," J. Propul. Power JPPOEL 0748-4658 14, 807 (1998).
10. P. Marmottant and E. Villermaux, "On spray formation," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112003006529 498, 73 (2004).
11. P. Yecko, S. Zaleski, and J.-M. Fullana, "Viscous modes in two-phases mixing layers," Phys. Fluids PHFLE6 1070-6631 10.1063/ 1.1513987 14, 4115 (2002).
12. P. A. Monkewitz and P. Huerre, "Influence of the velocity ratio on the spatial instability of mixing layers," Phys. Fluids PFLDAS 0031-9171 10.1063/1.863880 25, 1137 (1982).
13. M. Gaster, "A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability," J. Fluid Mech. JFLSA7 0022-1120 14, 222 (1962).
14. A. Michalke, "On spatially growing disturbances in an inviscid shear layer," J. Fluid Mech. JFLSA7 0022-1120 23, 521 (1965).
15. R. C. Lock, "The velocity distribution in the laminar boundary layer between parallel streams," Q. J. Mech. Appl. Math. QJMMAV 0033-5614 4, 42 (1951).
16. H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1987).
17. P. J. Schmid and D. S. Henningson, Stability and Transition in Shear Flows (Springer, New York, 2001).
18. L. Raynal, "Instabilité et entrainement l'interface d'une couche de mélange liquide-gaz," Thèse de doctorat, Université Joseph Fourier, Grenoble, 1997.
19. E. J. Hinch, "A note on the mechanism of the instability at the interface between two shearing fluids," J. Fluid Mech. JFLSA7 0022-1120 144, 463 (1984).
20. J. M. Gordillo, M. Perez-Saborid, and A. M. Ganan-Calvo, "Linear stability of co-flowing liquid-gas jets," J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112000002603 448, 23 (2001).
21. A. Sevilla, J. M. Gordillo, and C. Martinez-Bazan, "The effect of the diameter ratio on the absolute and convective instability of free coflowing jets," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1496511 14, 3028 (2002).