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Rough-wall boundary layers: mean flow universality

By I.P. Castro


Mean flow profiles, skin friction, and integral parameters for boundary layers developing naturally over a wide variety of fully aerodynamically rough surfaces are presented and discussed. The momentum thickness Reynolds number Re? extends to values in excess of 47 000 and, unlike previous work, a very wide range of the ratio of toughness element height to boundary-layer depth is covered (0.03 < h/? < 0.5). Comparisons are made with some classical formulations based on the assumption of a universal two-parameter form for the mean velocity profile, and also with other recent measurements. It is shown that appropriately re-written versions of the former can be used to collapse all the data, irrespective of the nature of the roughness, unless the surface is very rough, meaning that the typical roughness element height exceeds some 50% of the boundary-layer momentum thickness corresponding to about h/? >0.2

Topics: TA, QC
Year: 2007
OAI identifier:
Provided by: e-Prints Soton

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  8. (1987). G r a n v i l l e doi
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  10. (1981). On the displacement height in the logarithmic velocity profile. doi
  11. (1983). On the skin friction coefficient for a fully rough plate. doi
  12. (2007). R e y n o l d s ,R .T . ,H a y d e n ,P . ,C a s t r o doi
  13. (1991). Rough-wall turbulent boundary layers. doi
  14. (2002). S n y d e r ,W .H .&C a s t r o ,I .P doi
  15. (2005). Skin friction correlation for smooth and rough wall turbulent boundary layers. doi
  16. (1975). T u t u ,N .&C h e v r a y ,R doi
  17. (1962). The calculation of the turbulent boundary layer. doi
  18. (1956). The law of the wake in the turbulent boundary layer. doi
  19. (1971). The response of a turbulent boundary layer to a step change in surface roughness. doi
  20. (1976). The Structure of Turbulent Shear Flow, 2nd edn. doi
  21. (1962). The turbulent boundary layer in a compressible fluid. USAF Rep. doi
  22. (1987). Turbulent boundary layer development over rough surfaces. Perspectives in Turbulence Studies doi
  23. (1954). Turbulent boundary layers in adverse pressure gradients. doi
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  25. (1976). Velocity profiles and fence drag for a turbulent boundary layer along smooth and rough plates. doi

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