Exploration of vortex dynamics for transitional flows in a three-dimensional backward-facing step channel

Journal of Fluid Mechanics

Volumn 550, Issue , 2006, Pages 61-83

  Sheu, Tony W H ^a   Rani, H P ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; REYNOLDS NUMBER; VORTEX FLOW;

FLOW TOPOLOGY; SHEAR LAYER; STATIONARY HELICAL VORTEX (SHV); THREE-DIMENSIONAL CHANNEL; TRANSITIONAL FLOWS; VORTEX DYNAMICS; VORTICAL FLOW FIELD; VORTICAL STRUCTURES;

FLUID DYNAMICS;

CHANNEL FLOW; COMPUTER SIMULATION; FLUID DYNAMICS; REYNOLDS NUMBER; VORTEX FLOW;

CHANNEL FLOW; VORTEX FLOW;

EID: 33645830084     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005007858     Document Type: Article

References (31)

1. Abraham, R., Marsden, J. E. & Ratiu, T. 1988 Manifolds, Tensor Analysis, and Applications, 2nd edn. Springer.
2. Armaly, B. F., Durst, F., Pereira, J. C. F. & Schonung, B. 1983 Experimental and theoretical investigation of backward-facing step flow. J. Fluid. Mech. 127, 473-496.
3. Beaudoin, J., Cadot, O., Aider, J. & Wesfreid, J. 2004 Three-dimensional stationary flow over a backward-facing step. Eur. J. Mech. B/Fluids 23, 147-155.
4. Choi, H., Hinze, M. & Kunisch, K. 1999 Instantaneous control of backward-facing step flows. Appl. Numer. Maths 31, 133-158.
5. Drazin, P. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.
6. Dejoan, A. & Leschnizer, M. A. 2004 Large eddy simulation of periodically perturbed separated flow over a backward-facing step. Intl J. Heat Fluid flow 25, 581-592.
7. Delcayre, M. & Lesieur, M. 1997 Topological feature in the reattachment region of a backward-facing step. 1st AFOSR Intl Conf. on DNS and LES, Ruston.
8. Gallaire, F. 2002 Swirling Jet instabilities and vortex breakdown control. PhD thesis, Ecole Polytechnique, Palaiseau, France.
9. Guermond, J.-L. Oden, J. T. & Prudhomme, S. 2004 Mathematical perspectives on large eddy simulation models for turbulent flows. J. Math. Fluid Mech. 6, 194-248.
10. Guerrero, J. S. P. & Cotta, R. M. 1996 Benchmark integral transform results for flow over a backward-facing step. Comput. Fluids 25, 527-540.
11. Gupta, A. K., Lilley, D. G. & Syred, N. 1984 Swirl Flows. Abacus, London.
12. Husan, M. A. Z. 1992 The flow over a backward-facing step under controlled perturbation: Laminar separation. J. Fluid Mech. 238, 73-96.
13. Jana, S. C., Metcalfe, G. & Ottino, J. M. 1994 Experimental and computational studies of mixing in complex Stokes flows: The vortex mixing flow and multicellular cavity flows. J. Fluid Mech. 269, 199-246.
14. Jeong, J., Hussain, F., Schoppra, W. & Kim, J. 1997 Coherent structures near the wall in a turbulent channel flow. J. Fluid Mech. 332, 185-214.
15. Kiya, M. & Sasaki, K. 1985 Structure of large-scale vortices and unsteady reverse flow in the reattaching zone of a turbulent separation bubble. J. Fluid Mech. 154, 463-491.
16. Kiya, M., Shimizu, M., Mochizuki, O. 1997 Sinusoidal forcing of a turbulent separation bubble. J. Fluid Mech. 342, 119-139.
17. Kosma, Z. 2000 Computing laminar incompressible flows over a backward-facing step using Newton iterations. Mech. Res. Commun. 27, 235-240.
18. Koutmos, P. & Mavridis, C. 1997 A computational investigation of unsteady separated flow. Intl J. Heat Fluid Flow 18, 297-306.
19. Lee, T., Hutreau F. & Mateescu, D. 2000 Flow past a 2-D backward-facing step with an oscillating wall. J. Fluids Struct. 14, 691-696.
20. Ma, T. & Wang, S. 2001 Structure of 2D incompressible flows with the Dirichlet boundary conditions. Discrete Contin. Dyn. Syst. B 1, 29-41.
21. Mackay, R. S. 1994 Transport in 3D volume-preserving flows. J. Nonlinear Sci. 4, 329-354.
22. Majda, A. 1991 Vorticity, turbulence, and acoustics in fluid flow. SIAM Rev. 33, 349-355.
23. Nie, J. H. & Armaly, B. F. 2004 Reverse flow regions in three-dimensional backward-facing step flow. Intl J. Heat Mass Transfer 47, 4713-4720.
24. Pierrehumbert, R.T. & Windal, S. E. 1982 The two and three dimensional instabilities for a spatially periodic shear layer. J. Fluid Mech. 114, 59-82.
25. Raguin, L. G. & Georgiadis, J. G. 2004 Kinematics of the stationary helical vortex mode in Taylor-Couette-Poiseuille Flow. J. Fluid Mech. 516, 125-154.
26. Robinson, S. K. 1989 A review of vortex structures and associated coherent motions in turbulent boundary layers. Proc. 2nd IUTAM Symp. Struct. Turbul. Drag Reduct. Zurich.
27. Vincent, A. & Meneguzzi, M. 1994 The dynamics of vorticity tubes in homogeneous turbulence, J. Fluid Mech. 258, 245-254.
28. Williams, P. T. & Baker, A. J. 1997 Numerical simulations of laminar flow over a 3D Backward-facing step. Intl J. Num. Methods Fluids 24, 1159-1183.
29. Yanase, S., Kawahare, G. & Kiyama, H. 2001 Three dimensional vortical structures of a backward facing step at moderate Reynolds numbers. J. Phys. Soc. Japan 70, 3550-3555.
30. Yanase, S., Kawahara, G. & Kiyama, H. 2002 Evolution of three dimensionality in backward facing step flow at moderate Reynolds numbers. Comput. Fluid Dyn. J. 11, 208-212.
31. Zhou, H. 1997 On the motion of slender vortex filaments. Phys. Fluids 9, 970-981.