| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Three-Dimensional Waves in Tilt Thermal Boundary Layers |
| TAO Jian-Jun1, YUAN Xiang-Jiang2 |
| 1LTCS and CAPT, College of Engineering, Peking University, Beijing 1008712National CFD Laboratory, Beijing 100083 |
|
| Cite this article: |
|
TAO Jian-Jun, YUAN Xiang-Jiang 2009 Chin. Phys. Lett. 26 024701 |
|
|
|
|
Abstract We numerically and theoretically study the stabilities of tilt thermal boundary layers immersed in stratified air. An interesting phenomenon is revealed: the stationary longitudinal-roll mode becomes unstable to some oscillating state even when the Grashof number is smaller than its corresponding critical value. By stability analysis, this phenomenon is explained in terms of a new three-dimensional wave mode. The effect of the tilt angle on the stability of the boundary flows is investigated. Since the new three-dimensional wave is found to be the most unstable mode when the title angle is between 30° and 64°, it is expected to play an important role in the transition to turbulence.
|
| Keywords:
47.20.Bp
47.15.Cb
|
|
|
Received: 16 September 2008
Published: 20 January 2009
|
|
| PACS: |
47.20.Bp
|
(Buoyancy-driven instabilities (e.g., Rayleigh-Benard))
|
| |
47.15.Cb
|
(Laminar boundary layers)
|
|
|
|
|
|
[1] Hart J E 1971 J. Fluid Mech. 48 265
[2] R M Clever R M and Busse F H 1977 J. Fluid Mech. 81 107
[3] Daniels K E, Plapp B B and Bodenschatz E 2000 Phys.Rev. Lett. 84 5320
[4] Daniels K E and Bodenschatz E 2002 Phys. Rev. Lett. 88 034501
[5] Prandtl L 1952 Essentials of Fluid Dynamics (London:Blackie)
[6] Stull R B 1989 An Introduction to Boundary LayerMeteorology (Dordrecht: Kluwer)
[7] Gill A E and Davey A 1969 J. Fluid Mech. 35775
[8] Iyer P A 1973 Boundary-Layer Meteorology 5 53
[9] Elder J W 1965 J. Fluid Mech. 23 77
[10] Gill A E 1966 J. Fluid Mech. 26 515
[11] Gebhart B, Jaluria Y, Mahajan R L and Samumakia B 1993 Buoyancy Induced Flows and Transport (Washington, DC:Hemisphere)
[12] Tao J, LeQu\'{er\'{e P and Xin S 2004 Phys. Rev.E 70 066311
[13] Tao J 2006 J. Fluid Mech. 566 377
[14] Iyer P A and Kelly R E 1978 J. Heat Transfer 100648
[15] Schmid P J and Henningson D S 2001 Stability andTransition in Shear Flows (Berlin: Springer) |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
