Secondary circulations in Holmboe waves

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Smyth, William D ^a  

^a OREGON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LAMINAR FLOW; STABILITY; TURBULENT FLOW;

HOLMBOE WAVES; KELVIN-HELMHOLTZ BILLOWS; LAMINAR MOTIONS; SECONDARY CIRCULATIONS; STABILITY ANALYSIS;

SHEAR FLOW;

COMPUTER SIMULATION; LAMINAR FLOW; SHEAR FLOW; STABILITY; TURBULENT FLOW;

EID: 33745598814     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2210504     Document Type: Article

References (32)

1. J. Holmboe, "On the behaviour of symmetric waves in stratified shear layers," Geophys. Publ. 24, 67 (1962).
2. P. Hazel, "Numerical studies of the stability of inviscid parallel shear flows," J. Fluid Mech.JFLSA70022-1120 51, 39 (1972).
3. D. Zhu and G. Lawrence, "Holmboe's instability in exchange flows," J. Fluid Mech.JFLSA70022-112010.1017/S002211200000286X 429, 391 (2001).
4. S. Yoshida, M. Ohtani, S. Nishida, and P. Linden, in Physical Processes in Lakes and Oceans, edited by J. Imberger (American Geophysical Union, Washington, DC, 1998), pp. 389-400.
5. N. Yonemitsu, G. Swaters, N. Rajaratnam, and G. Lawrence, "Shear instabilities in arrested salt-wedge flows," Dyn. Atmos. OceansDAOCDC0377-026510.1016/0377-0265(95)00444-0 24, 173 (1996).
6. W. Smyth and W. Peltier, "Three-dimensional primary instabilities of a stratified, dissipative, parallel flow," Geophys. Astrophys. Fluid Dyn.GAFDD30309-1929 52, 249 (1990).
7. A. M. Hogg and G. Ivey, "The Kelvin-Helmholtz to Holmboe instability transition in stratified exchange flows," J. Fluid Mech.JFLSA70022-112010.1017/S0022112002003397 477, 339 (2003).
8. S. Nishida and S. Yoshida, "Stability of a two-layer shear flow," Theor Appl. Mech.ZZZZZZ0285-6042 32, 35 (1982).
9. W. Smyth and W. Peltier, "The transition between Kelvin-Helmholtz and Holmboe instability: An investigation of the overreflection hypothesis," J. Atmos. Sci.JAHSAK0022-492810.1175/ 1520-0469(1989)046<3698:TTBKAH>2.0.CO;2
10. P. Baines and H. Mitsudera, "On the mechanism of shear flow instabilities," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112094002582 276, 327 (1994).
11. C. Caulfield, "Multiple linear instability of layered stratified shear flow," J. Fluid Mech.JFLSA70022-112010.1017/S0022112094003320 258, 255 (1994).
12. F. Browand and C. Winant, "Laboratory observations of shear instability in a stratified fluid," Boundary-Layer Meteorol.BLMEBR0006-8314 5, 67 (1973).
13. G. Lawrence, F. Browand, and L. Redekopp, "Stability of a sheared density interface," Phys. Fluids APFADEB0899-821310.1063/1.858175 3, 2360 (1991).
14. G. Lawrence, S. Haigh, and Z. Zhu, in Physical Processes in Lakes and Oceans, edited by J. Imberger (American Geophysical Union, Washington, DC, 1998), pp. 295-304.
15. S. Pouliquen, J. Chomaz, and P. Huerre, "Propagating Holmboe waves at the interface between two immiscible fluids," J. Fluid Mech.JFLSA70022-112010.1017/S002211209400100X 266, 277 (1994).
16. E. Strang and H. Fernando, "Entrainment and mixing in stratified shear flows," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112000002706 428, 349 (2001).
17. W. Smyth, G. Klaassen, and W. R. Peltier, "Finite amplitude Holmboe waves," Geophys. Astrophys. Fluid Dyn.GAFDD30309-1929 43, 181 (1988).
18. S. Haigh and G. Lawrence, "Symmetric and nonsymmetric Holmboe instabilities in an inviscid flow," Phys. FluidsPHFLE61070-663110.1063/1.870009 11, 1459 (1999).
19. W. Smyth and K. Winters, "Turbulence and mixing in Holmboe waves," J. Phys. Oceanogr.JPYOBT0022-367010.1175/ 1520-0485(2003)33<694:TAMIHW>2.0.CO;2
20. W. Smyth and W. Peltier, "Instability and transition in Kelvin-Helmholtz and Holmboe waves," J. Fluid Mech.JFLSA70022-1120 228, 387 (1991).
21. W. Peltier and C. Caulfield, "Mixing efficiency in stratified shear flows," Annu. Rev. Fluid Mech.ARVFA30066-4189 35, 136 (2003). 136 (2003).
22. K. Winters, J. MacKinnon, and B. Mills, "A spectral model for process studies of rotating, density-stratified flows," J. Atmos. Ocean. Technol.JAOTES0739-0572 21, 69 (2004).
23. J. Ferziger and M. Peric, Computational Methods for Fluid Dynamics (Springer, Berlin, 1996).
24. W. Smyth, J. Nash, and J. Moum, "Differential diffusion in breaking Kelvin-Helmholtz billows," J. Phys. Oceanogr.JPYOBT0022-3670 35, 1044 (2005).
25. A. Alexakis, "On Holmboe's instability for smooth shear and density profiles," Phys. FluidsPHFLE61070-6631 17, 84 (2005).
26. G. Klaassen and W. Peltier, "The influence of stratification on secondary instability in free shear layers," J. Fluid Mech.JFLSA70022-1120 227, 71 (1991).
27. J. Jimenez, "Spanwise structure in the plane shear layer," J. Fluid Mech.JFLSA70022-112010.1017/S0022112083001639 132, 319 (1983).
28. J. Lasheras, J. Cho, and T. Maxworthy, "The origin and evolution of streamwise vortical structures in a plane, free shear layer," J. Fluid Mech.JFLSA70022-112010.1017/S0022112086001726 172, 231 (1986).
29. W. Orr, "The stability or instability of the steady motions of a perfect or viscous liquid. Part 1: A perfect liquid," Proc. R. Ir. Acad., Sect. APRIAAK0035-8975 27, 9 (1907).
30. K. Emanuel, Atmospheric Convection (Oxford University Press, New York, 1994).
31. J. Deardorff, "Gravitational instability between horizontal plates with shear," Phys. FluidsPFLDAS0031-917110.1063/1.1761351 8, 1027 (1965).
32. W. Smyth and W. Peltier, "Three-dimensionalization of barotropic vortices on the f-plane," J. Fluid Mech.JFLSA70022-112010.1017/ S0022112094000753 265, 25 (1994).