Growth and Decay of Longitudinal Roll Cells in Rotating Turbulent Plane Couette Flow

  • K. H. Bech
  • H. I. Andersson
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 36)

Abstract

The plane Couette flow, i.e. the shear-driven fluid motion between two parallel planes in relative motion, is one of the fundamental prototype flows in classical fluid mechanics. The presence of the roll-cell instability in laminar plane Couette flow subject to system rotation has been explored by Lezius & Johnston (1976) and Speziale & Wilson (1989), while the existence of persistent pairs of counterrotating longitudinal vortices or roll cells in a weakly rotating turbulent Couette flow was first observed by Bech & Andersson (1995). In the latter numerical study, roll cells were found to be present for weak anticyclonic rotation, i.e. the imposed background or system vorticity is antiparallel to the mean flow vorticity. More surprisingly, however, was that in spite of the destabilizing influence of the Coriolis force with respect to roll cell formation,the turbulence level was actually reduced.

Keywords

System Rotation Fluid Mechanics Couette Flow Rotation Number Turbulence Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bech, K.H. and Andersson, H.I. (1995) Secondary flow in weakly rotating turbulent plane Couette flow, in Proc. 10th Symposium on Turbulent Shear Flows, Pennsylvania, pp. 8.1–8.6. To appear in Journal of Fluid MechanicsGoogle Scholar
  2. Bech, K.H., Tillmark, N., Alfredsson, P.H., and Andersson, H.I. (1995) An investigation of turbulent plane Couette flow at low Reynolds numbers, Journal of Fluid Mechanics 286, 291–325ADSCrossRefGoogle Scholar
  3. Gavrilakis, S., Tsai, H.M., Voke, P.R., and Leslie, D.C. (1986) Large-eddy simulation of low Reynolds number channel flow by spectral and finite difference methods, in U. Schumann and R. Friedrich (eds.), Direct and Large Eddy Simulation of Turbulence, Notes on Numerical Fluid Mechanics Vol. 15, Vieweg Verlag, Braunschweig, pp. 105–118Google Scholar
  4. Johnston, J.P., Haileen, R.M., and Lezius, D.K. (1972) Effects of spanwise rotation on the structure of two- dimensional fully developed turbulent channel flow, Journal of Fluid Mechanics 56, 533–557ADSCrossRefGoogle Scholar
  5. Kristoffersen, R. and Andersson, H.I. (1993) Direct simulations of low-Reynolds-number turbulent flow in a rotating channel, Journal of Fluid Mechanics 256, 163–197ADSMATHCrossRefGoogle Scholar
  6. Lezius, D.K. and Johnston, J.P. (1976) Roll-cell instabilities in rotating laminar and turbulent channel flows, Journal of Fluid Mechanics 77, 153–175ADSMATHCrossRefGoogle Scholar
  7. Moser, R.D. and Moin, P. (1987) The effect of curvature in wall-bounded turbulent flows, Journal of Fluid Mechanics 175, 479–510ADSCrossRefGoogle Scholar
  8. Speziale, C.G. and Wilson, M.B. (1989) Numerical study of plane Couette flow in a rotating framework, Acta Mechanica 77, 261–280MATHCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • K. H. Bech
    • 1
  • H. I. Andersson
    • 1
  1. 1.Division of Applied MechanicsNorwegian University of Science and TechnologyTrondheimNorway

Personalised recommendations