Location of Repository

Generalized Coles’ law and outer layer conformal mapping

By Aldo Rona and Marco Grottadaurea

Abstract

The final published version is available at http://www.informaworld.com/smpp/title~db=all~content=g928504756, Doi: 10.1080/00221686.2010.512776.The time-averaged velocity profile of a turbulent boundary layer can be predicted by combining its different trends in the inner and outer regions in a single law of the wake. A new non-dimensional coordinate system that projects the time-averaged velocity profiles of the inner and the outer regions on the same non-dimensional plane is introduced, leading to a unified treatment for the mixing region. In this coordinate system, various laws of the wake are shown to be the same but a constant. The non-dimensionalization is tested on a specific law of the wake, in which the closure coefficients are regressed from wind tunnel measurements and direct numerical simulations of turbulent boundary layers under zero-pressure gradient, over a good range of boundary layer thickness based Reynolds numbers. This data fit produced profiles within 2% of the reference values. This is of practical use to numerical modellers for generating boundary layer inflow profiles

Topics: Boundary layer model, law of the wake, scaling law, turbulent boundary layer, wake parameter
Publisher: Taylor & Francis on behalf of the International Association for Hydro-Environment Engineering and Research
Year: 2010
DOI identifier: 10.1080/00221686.2010.512776
OAI identifier: oai:lra.le.ac.uk:2381/9088
Journal:

Suggested articles

Preview

Citations

  1. (1976). A modified law of the wake for turbulent shear layers. doi
  2. (1976). A single formula for the complete velocity profile in a turbulent boundary layer. doi
  3. (1954). Aerodynamics: Selected topics in the light of their historical development. doi
  4. (1982). An improved universal wake function for turbulent boundary layers and some of its consequences.
  5. (1992). Comparison between rough- and smooth-wall turbulent boundary layers. doi
  6. (1988). Direct simulation of a turbulent boundary layer up to Rθ=1410. doi
  7. (2005). Evidence on non-universality of Kármán constant. doi
  8. (2001). Evolution and structure of sink-flow turbulent boundary layers. doi
  9. (1999). Experimental studies of zero pressure-gradient turbulent boundary layer flow. PhD Thesis. Royal Inst.
  10. (1991). Low-Reynolds-number turbulent boundary layers. doi
  11. (2003). Modified log-wake law for turbulent flow in smooth pipes. doi
  12. (2005). Modified log-wake law for zero-pressure-gradient turbulent boundary layers. doi
  13. (2007). Recent developments in scaling of wall-bounded flows. doi
  14. (2000). Reynolds-number scaling of the flat-plate turbulent boundary layer. doi
  15. (2000). Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. doi
  16. (1964). The behavior of turbulent boundary layers in adverse pressure gradients. doi
  17. (2009). The influence of free-stream turbulence on the velocity defect. Private communication.
  18. (1956). The law of the wake in the turbulent boundary layer. doi
  19. (2008). Variations of von Kármán coefficient in canonical flows. Physics of Fluids doi
  20. (2009). Velocity distribution and wake-law in gradually decelerating flows. doi
  21. (1966). Velocity measurements in a thin turbulent water layer. doi
  22. (1991). Viscous fluid flow, 2nd ed.
  23. (1997). Zero-pressure-gradient turbulent boundary layer. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.