The separated flow of an inviscid fluid around a moving flat plate

Journal of Fluid Mechanics

Volumn 496, Issue , 2003, Pages 405-441

  Jones, Marvin A ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; PLATES (STRUCTURAL COMPONENTS); TORQUE; VORTEX FLOW;

EVOLUTION EQUATIONS; KUTTA CONDITION;

FLUID MECHANICS;

FLAT PLATE; FLUID MECHANICS; INVISCID FLUID; MATHEMATICAL ANALYSIS; VORTEX SHEET;

EID: 1142281900     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003006645     Document Type: Article

References (32)

1. BIRKHOFF, G. 1962 Helmholtz and Taylor instability. Proc. Symp. in Applied Mathematics, vol. XIII. Am. Math. Soc.
2. CHORIN, A. L. & BERNARD, P. S. 1973 Discretisation of a vortex sheet, with an example of roll-up. J. Comput. Phys. 13, 423-429.
3. CLEMENTS, R. R. 1973 An inviscid model of two-dimensional vortex shedding. J. Fluid Mech. 57, 321-336.
4. CORTELEZZI, L., CHEN, Y. C. & CHANG, H. L. 1997 Nonlinear feedback control of the wake past a plate: From a low-order model to a high-order model. Phys. Fluids 9, 2009-2021.
5. CORTELEZZI, L. & LEONARD, A. 1993 Point vortex model of the unsteady separated flow past a semi-infinite plate with transverse motion. Fluid Dyn. Res. 11, 263-295.
6. DICKINSON, M. H. 1994 The effects of wing rotation on unsteady aerodynamic performance at low Reynolds numbers. J. Expl Biol. 192, 179-206.
7. DICKINSON, M. H. & GOTZ, K. G. 1993 Unsteady aerodynamic performance of model wings at low Reynolds numbers. J. Expl Biol. 174, 45-64.
8. DIDDEN, N. 1979 On the formation of vortex rings: rolling-up and production of circulation. Z. Angew. Math. Phys. 30, 101.
9. DRAGHICESCU, C. I. & DRAGHICESCU, M. 1995 A fast algorithm for vortex blob interactions. J. Comput. Phys. 116, 69-78.
10. FAGE, A. & JOHANSEN, F. C. 1927 On the flow of air behind an inclined flat plate of infinite span. Proc. R. Soc. Lond. A 116, 170.
11. GREENGARD, L. & ROKHLIN, V. 1987 A fast algorithm for particle simulations. J. Comput. Phys. 73, 325-348.
12. KATZ, J. 1981 A discrete vortex method for the non-steady separated flow over an airfoil. J. Fluid Mech. 102, 315-328.
13. KEULEGAN, G, H. & CARPENTER, L. H. 1958 Forces on cylinders and plates in an oscillating fluid. J. Res. Natl Bureau Standards 60, 423-440.
14. KRASNY, R. 1986a Desingularisation of periodic vortex sheet roll-up. J. Comput. Phys. 65, 292-313.
15. KRASNY, R. 1986b A study of singularity formation in a vortex sheet by the point-vortex approximation. J. Fluid Mech. 167, 65-93.
16. KRASNY, R. 1987 Computation of vortex sheet roll-up in the Trefftz plane. J. Fluid Mech. 184, 123-155.
17. KRASNY, R. 1991 Vortex sheet computations: roll-up, wakes, separation. Lectures in Applied Mathematics. Am. Math. Soc. 28, 385-401.
18. KRASNY, R. & NITSCHE, M. 2002 The onset of chaos in vortex sheet flow. J. Fluid Mech. 454, 47-69.
19. KUWAHARA, K. 1973 Numerical study of flow past an inclined flat plate by an inviscid model. J. Phys. Soc. Japan 35, 1545.
20. MOORE, D. W. 1974 A numerical study of the roll-up of a finite vortex sheet. J. Fluid Mech. 63, 225-235.
21. MOORE, D. W. 1975 The rolling up of a semi-infinite vortex sheet. Proc. R. Soc. Lond. A 345, 417-430.
22. MOORE, D. W. 1979 The spontaneous appearance of a singularity in the shape of an evolving vortex sheet. Proc. R. Soc. Lond. A 365, 105.
23. MUSKHELISHVILI, N. I. 1946 Singular Integral Equations. Moscow.
24. NITSCHE, M. & KRASNY, R. 1994 A numerical study of vortex ring formation at the edge of a circular tube. J. Fluid Mech. 97, 239-255.
25. PRANDTL, L. & TIETJENS, O. G. 1934 Fundamentals of Hydro- and Aeromechanics. Republished by Dover in 1957.
26. PULLIN, D. I. 1978 The large-scale structure of unsteady self-similar rolled up vortex sheets. J. Fluid Mech. 88, 401-430.
27. PULLIN, D. I. & PERRY, A. E. 1980 Some flow visualisation experiments on the starting vortex. J. Fluid Mech. 97, 239-255.
28. ROTT, N. 1956 Diffraction of a weak shock with vortex generation. J. Fluid Mech. 1, 111-128.
29. SAFFMAN, P. G. 1992 Vortex Dynamics. Cambridge University Press.
30. SARPKAYA, T. 1975 An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate. J. Fluid Mech. 68, 109-128.
31. SARPKAYA, T. 1989 Computational methods with vortices - The 1988 Freeman Scholar lecture. Trans. ASME: J. Fluids Engng Trans. 111, 5-52.
32. TANEDA, S. & HONJI, H 1971 Unsteady flow past a flat plate normal to the direction of motion. J. Phys. Soc. Japan 30, 262-272.