A comparison of Navier-Stokes solutions with the theoretical description of unsteady separation

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 358, Issue 1777, 2000, Pages 3207-3227

  Cassel, Kevin W ^a  

^a Illinois Institute of Technology   (United States)

Author keywords

Navier stokes solutions; Unsteady separation; Viscous inviscid interaction

Indexed keywords

EID: 0346676616     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2000.0705     Document Type: Article

References (26)

1. Abramowitz, M. & Stegun, I. A. 1904 Handbook of mathematical functions. New York: Dover.
2. Batchelor, G. K. 1967 An introduction to fluid dynamics. Cambridge University Press.
3. Bhaskaran, R., Smith, F. T. & Timoshin, S. N. 1995 The appearance of boundary-layer instabilities as a velocity minimum develops. Proc. R. Soc. Lond. A 451, 331-339.
4. Brinkman, K. W. & Walker, J. D. A. 1996 Breakup and instability in a high Reynolds number flow. AIAA paper 96-2156.
5. Cassel, K. W., Smith, F. T. & Walker, J. D. A. 1996 The onset of instability in unsteady boundary-layer separation. J. Fluid Mech. 315, 223-256.
6. Choudhuri, P. G. & Knight, D. D. 1996 Effects of compressibility, pitch rate, and Reynolds number on unsteady incipient leading-edge boundary-layer separation over a pitching airfoil. J. Fluid Mech. 308, 195-217.
7. Cowley, S. J., Hocking, L. M. & Tutty, O. R. 1985 The stability of solutions of the classical unsteady boundary-layer equations. Phys. Fluids 28, 441-443.
8. Degani, A. T., Walker, J. D. A. & Smith, F. T. 1998 Unsteady separation past moving surfaces. J. Fluid Mech. 375, 1-38.
9. Dodia, B., Doorly, D. J. & Smith, F. T. 1997 Computational modeling of unsteady boundary layer processes. AIAA paper 97-1834.
10. Doligalski, T. L. & Walker, J. D. A. 1984 The boundary layer induced by a convected two-dimensional vortex. J. Fluid Mech. 139, 1-28.
11. Doligalski, T. L., Smith, C. R. & Walker, J. D. A. 1994 Vortex interactions with walls. A. Rev. Fluid Mech. 26, 573-616.
12. Ece, M. C., Walker, J. D. A. & Doligalski, T. L. 1984 The boundary layer on an impulsively started rotating and translating cylinder. Phys. Fluids 27, 1077-1089.
13. Elliott, J. W., Cowley, S. J. & Smith, F. T. 1983 Breakdown of boundary layers: (i) on moving surfaces; (ii) in semi-similar unsteady flow; (iii) in fully unsteady flow. Geophys. Astrophys. Fluid Dynamics 25, 77-138.
14. Hoyle, J. M. & Smith, F. T. 1994 On finite-time break-up in three-dimensional unsteady interacting boundary layers. Proc. R. Soc. Lond. A 447, 467-492.
15. Hoyle, J. M., Smith, F. T. & Walker, J. D. A. 1991 On sublayer eruption and vortex formation. Comput. Phys. Commun. 65, 151-157.
16. Koumoutsakos, P. & Leonard, A. 1995 High-resolution simulations of the flow around an impulsively started cylinder using vortex methods. J. Fluid Mech. 296, 1-38.
17. Li, L., Walker, J. D. A., Bowles, R. I. & Smith, F. T. 1998 Short-scale break-up in unsteady interactive layers: local development of normal pressure gradients and vortex wind-up. J. Fluid Mech. 374, 335-378.
18. Orlandi, P. 1990 Vortex dipole rebound from a wall. Phys. Fluids A 2, 1429-1436.
19. Peridier, V. J., Smith, F. T. & Walker, J. D. A. 1991a Vortex-induced boundary-layer separation. Part 1. The unsteady limit problem Re → ∞. J. Fluid Mech. 232, 99-131.
20. Peridier, V. J., Smith, F. T. & Walker, J. D. A. 1991b Vortex-induced boundary-layer separation. Part 2. Unsteady interacting boundary-layer theory. J. Fluid Mech. 232, 133-165.
21. Smith, F. T. 1988 Finite-time break-up can occur in any unsteady interacting boundary layer. Mathematika 35, 256-273.
22. Smith, F. T. & Elliott, J. W. 1985 On the abrupt turbulent reattachment downstream of leading-edge laminar separation. Proc. R. Soc. Lond. A 401, 1-27.
23. Van Dommelen, L. L. 1981 Unsteady boundary-layer separation. PhD thesis, Cornell University, New York, USA.
24. Van Dommelen, L. L. & Shen, S. F. 1980 The spontaneous generation of the singularity in a separating laminar boundary layer. J. Comput. Phys. 38, 125-140.
25. Van Dommelen, L. L. & Shen, S. F. 1982 The genesis of separation. In Numerical and physical aspects of aerodynamic flows (ed. T. Cebeci), pp. 293-311. Springer.
26. Walker, J. D. A. 1978 The boundary layer due to a rectilinear vortex. Proc. R. Soc. Lond. A 359, 167-188.