High-Reynolds-number Batchelor-model asymptotics of a flow past an aerofoil with a vortex trapped in a cavity

Journal of Fluid Mechanics

Volumn 358, Issue , 1998, Pages 283-297

  Bunyakin, A V ^a   Chernyshenko, S I ^b   Stepanov, G Yu ^b  

^a KUBAN STATE TECHNOLOGICAL UNIVERSITY   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BATCHELOR MODEL; STEADY INCOMPRESSIBLE FLOW;

CAVITATION; COMPRESSIBILITY OF LIQUIDS; MATHEMATICAL MODELS; REYNOLDS NUMBER;

AIRFOILS;

EID: 0032021955     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097008203     Document Type: Article

References (32)

1. BATCHELOR, G. K. 1956 A proposal concerning laminar wakes behind bluff bodies at large Reynolds number. J. Fluid Mech. 1, 388-398.
2. BUNYAKIN, A. V., CHERNYSHENKO, S. I. & STEPANOV G. Yu. 1996 Inviscid Batchelor-model flow past an aerofoil with a vortex trapped in a cavity. J. Fluid Mech. 323, 367-376.
3. CHERNYSHENKO, S. I. 1982 An approximate method of determining the vorticity in the separation region as the viscosity tends to zero. Fluid Dyn. 17 (1), 1-11 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 2, 40-45).
4. CHERNYSHENKO, S. I. 1982 An approximate method of determining the vorticity in the separation region as the viscosity tends to zero. Fluid Dyn. 17 (1), 1-11 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 2, 40-45).
5. CHERNYSHENKO, S. I. 1984 Calculation of low-viscosity flows with separation by means of Batchelor's model. Fluid Dyn. 19 (2), 206-210 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 2, 40-45).
6. CHERNYSHENKO, S. I. 1984 Calculation of low-viscosity flows with separation by means of Batchelor's model. Fluid Dyn. 19 (2), 206-210 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 2, 40-45).
7. CHERNYSHENKO, S. I. 1988 The asymptotic form of the stationary separated circumference of a body at high Reynolds number. Appl. Math. Mech. 52, 746 (translated from Prikl. Matem. Mekh. 52 (6), 958-966).
8. CHERNYSHENKO, S. I. 1988 The asymptotic form of the stationary separated circumference of a body at high Reynolds number. Appl. Math. Mech. 52, 746 (translated from Prikl. Matem. Mekh. 52 (6), 958-966).
9. CHERNYSHENKO, S. I. 1991 Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone. Fluid Dyn. 26 (4), 496-501 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 25-30).
10. CHERNYSHENKO, S. I. 1991 Separated flow over a backward-facing step whose height is much greater than the thickness of the lower sublayer of the interaction zone. Fluid Dyn. 26 (4), 496-501 (translated from Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 25-30).
11. COLE, J. D. 1968 Perturbation Methods in Applied Mathematics. Waltham (Mass.): Blaisdell.
12. HERWIG, H. 1982 Die Anwendung der asymptotischen Theorie auf laminare Stromungen mit endlichen Ablosegebieter. Z. Flugwiss. Weltzaumforsh. B46, (4), 266-279 (in German).
13. KOENIG, K. & ROSHKO, A. 1985 An experimental study of geometrical effects on the drag and flow field of two bluff bodies separated by a gap. J. Fluid Mech. 156, 167-204.
14. KOLOSOV, B. V. & SHIFRIN, È. G. 1975 On a boundary value problem in a study of closed steady separation region in an incompressible fluid. Prikl. Matem. i Mekh. 39, No. 5, 773-779 (in Russian: English translation in Appl. Math. Mech.).
15. KOLOSOV, B. V. & SHIFRIN, È. G. 1975 On a boundary value problem in a study of closed steady separation region in an incompressible fluid. Prikl. Matem. i Mekh. 39, No. 5, 773-779 (in Russian: English translation in Appl. Math. Mech.).
16. KRUPPA, E. W. 1977 A wind tunnel investigation of the Kasper vortex concept. AIAA Paper 77-310.
17. KUETHE A. M. & CHOW CH.-Y. 1986 Foundations of Aerodynamics. John Wiley & Sons.
18. MATVEEVA, N. S. & NEILAND, V. YA. 1967 Laminar boundary layer near a corner point of a body surface. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 64-70 ( in Russian: English translation in Fluid Dyn.).
19. MATVEEVA, N. S. & NEILAND, V. YA. 1967 Laminar boundary layer near a corner point of a body surface. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 64-70 ( in Russian: English translation in Fluid Dyn.).
20. NEILAND, V. YA. & SYCHEV V. V. 1966 Asymptotic solutions of the Navier-Stokes equations in regions with large local perturbations. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 43-49 (in Russian: English translation in Fluid Dyn.).
21. NEILAND, V. YA. & SYCHEV V. V. 1966 Asymptotic solutions of the Navier-Stokes equations in regions with large local perturbations. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 4, 43-49 (in Russian: English translation in Fluid Dyn.).
22. RUBAN, A. I. 1974 On laminar separation from a corner point on a rigid surface. Uch. Zap. TsAGI 5, No. 2, 44-54 (in Russian).
23. RUBAN, A. I. 1976 On the theory of laminar separation from a corner point on a rigid surface. Uch. Zap. TsAGI 7, No. 4, 444-451 (in Russian).
24. SAVITSKY, A. I., SCHUKIN, L. N., KARELIN, V. G. et al. 1995 Method for control of the boundary layer on the aerodynamic surface of an aircraft, and the aircraft provided with the boundary layer control system. United States Patent No. 5417391, May 23, 1995.
25. SMITH, F. T. 1977 The laminar separation of an incompressible fluid streaming past a smooth surface. Proc. R. Soc. Lond. A 356, 443-463.
26. SQUIRE, H. B. 1956 Note on the motion inside a region of recirculation (cavity flow). J. R. Aeron. Soc. 60, 203.
27. SYCHEV, V. V. 1972 On laminar separation. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 3, 47-59 (in Russian: English translation in Fluid Dyn.).
28. SYCHEV, V. V. 1972 On laminar separation. Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza No. 3, 47-59 (in Russian: English translation in Fluid Dyn.).
29. SYCHEV, V. V. 1978 Boundary layer separation from a flat surface. Uch. Zap. TsAGI 9, No. 3, 20-29 (in Russian).
30. SYCHEV, V. V., RUBAN A. I., SYCHEV, VIK. V. & KOROLEV, G. L. 1987 Asymptotic Theory of Separated Flows. Moscow: Nauka (in Russian).
31. TIKHONOV, A. N., GONCHARSKII, A. V., STEPANOV, V. V. & YAGODA, A. G. 1990 Numerical Methods for Ill-posed Problems. Moscow: Nauka (in Russian).
32. Wu, J. M. & Wu, J. Z. 1992 Vortex lift at a very high angle of attack with massively separated unsteady flow. In Fluid Dynamic of High Angle of Attack. IUTAM Symp. Tokyo, Japan, September 13-17, 1992 (ed. R. Kawamura & Y. Aihara), p. 34. Springer.