Skip to main content

Experimental and numerical investigation of the kinematic theory of unsteady separation

  • M. WELDON (a1), T. PEACOCK (a1), G. B. JACOBS (a2), M. HELU (a1) and G. HALLER (a1)...

We present the results of a combined experimental and numerical study of flow separation in the unsteady two-dimensional rotor-oscillator flow. Experimentally detected material spikes are directly compared to separation profiles predicted from numerical shear-stress and pressure data, using a recent kinematic theory of unsteady separation. For steady, periodic, quasi-periodic and random forcing, fixed separation is observed, and experimental observations and theoretical predictions are in close agreement. The transition from fixed to moving separation is also reported.

Hide All
Van Dommelen, L. L. & Shen, S. F. 1982 The genesis of separation. In Numerical and Physical Aspects of Aerodynamics Flow (ed. Cebici, T.), pp. 283311. Long Beach, California.
Fumagalli, M. 2002 A numerical investigation of particle motion and deposition on a cross oscillating cylinder. MS thesis, University of Illinois at Chicago.
Hackborn, W. W., Ulucakli, M. E. & Yuster, T. 1997 A theoretical and experimental study of hyperbolic and degenerate mixing regions in a chaotic Stokes flow. J. Fluid Mech. 346, 2348.
Haller, G. 2004 Exact theory of unsteady separation for two-dimensional flows. J. Fluid Mech. 512, 257311.
Horton, H. P. 1968 Laminar separation bubble in two- and three-dimensional incompressible flow. PhD thesis, University of London.
Kilic, M. S., Haller, G. & Neishtadt, A. 2005 Unsteady fluid slow separation by the method of averaging. Phys. Fluids 17, 067104
Lighthill, M. J. 1963 Boundary layer theory. In Laminar Boundary Layers (ed. Rosenhead, L.). Dover.
Liu, C. S. & Wan, Y.-H. 1985 A simple exact solution of the Prandtl boundary layer equations containing a point of separation. Arch. Rat. Mech. Anal. 89, 177185.
Moffatt, H. K. 1964 Viscous and resistive eddies near a sharp corner. J. Fluid Mech. 18, 118.
Prandtl, L. 1904 Über Flüssigkeitsbewegung bei sehr kleiner Reibung. Verh. III, Int. Math. Kongr., Heidelberg, pp. 484–491.
Sears, W. R. & Telionis, D. P. 1975 Boundary-layer separation in unsteady flow. SIAM J. Appl. Maths 28, 215235.
Shariff, K., Pulliam, T. H. & Ottino, J. M. 1991 A dynamical systems analysis of kinematics in the time-periodic wake of a circular cylinder. Lect. Appl. Math. 28, 613646.
Surana, A., & Haller, G. 2008 Ghost manifolds in slow-fast systems, with an application to unsteady fluid flow separation. Physica D 237, 15071529.
Surana, A., Jacobs, G., Grunberg, O. & Haller, G. 2008 Exact theory of fixed unsteady separation in three-dimensional flows. Phys. Fluids (to appear).
Sychev, V. V., Ruban, A., Sychev, V. V. & Korolev, G. L. 1998 Asymptotic Theory of Separated Flows. Cambridge University Press.
Yuster, T. & Hackborn, W. W. 1997 On invariant manifolds attached to oscillating boundaries of Stokes flows. Chaos 7, 769776.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 51 *
Loading metrics...

Abstract views

Total abstract views: 168 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 25th March 2018. This data will be updated every 24 hours.