165
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Effect of surface roughness on the coefficients of a power law for the mean velocity in a turbulent boundary layer

&
Article: N18 | Published online: 02 Nov 2009

References

  • Millikan , C. M. A critical discussion of turbulent flows in channel and circular tubes . Proc. 5th International Congress on Applied Mechanics . pp. 386 – 392 . New York : Wiley .
  • Clauser , F. H. 1954 . The turbulent boundary layer . Advances in Applied Mechanics , 4 : 1 – 51 .
  • Panton , R. L. 1990 . Scaling turbulent wall layers . Journal of Fluids Engineering , 112 : 425 – 432 .
  • Barenblatt , G. I. 1993 . Scaling laws for fully developed shear flow: Part 1. Basic hypothesis and analysis . Journal of Fluid Mechanics , 248 : 513 – 520 .
  • George , W. K. and Castillo , L. 1997 . Zero pressure gradient turbulent boundary layer . Applied Mechanics Review , 50 : 689 – 729 .
  • Afzal , N. 2001 . Power law and log law velocity profiles in fully developed turbulent boundary layer flow: equivalent relations at large Reynolds numbers . Acta Mechanica , 151 : 195 – 216 .
  • Österlund , J. M. , Johansson , A. V. , Nagib , H. M. and Hites , M. H. 2000 . A note on the overlap region in turbulent boundary layers . Physics of Fluids , 12 : 1 – 4 .
  • Barenblatt , G. I. , Chorin , A. J. and Prostokishin , V. M. 2000 . A note on the overlap region in turbulent boundary layer . Physics of Fluids , 12 : 2159 – 2161 .
  • Zagarola , M. V. , Perry , A. E. and Smits , A. J. 1997 . Log laws or power law: the scaling in the overlap region . Physics of Fluids , 9 : 2094 – 2100 .
  • McKeon , B. J. , Li , J. , Jiang , W. , Morrison , J. F. and Smits , A. J. 2004 . Further observations on the mean velocity distribution in fully developed pipe flow . Journal of Fluid Mechanics , 501 : 135 – 147 .
  • Shockling , M. A. , Allen , J. J. and Smits , A. J. 2006 . Roughness effects in turbulent pipe flow . Journal of Fluid Mechanics , 564 : 267 – 285 .
  • Panton , R. L. 2000 . Power law or log law; that is not the question . Bulletin of American Physics Society , 45 : 160
  • Panton , R. L. 2002 . Evaluation of the Barenblatt–Chorin–Prostokishin power law for turbulent boundary layers . Physics of Fluids , 14 : 1806 – 1808 .
  • Buschmann , M. H. and Meinert , J. 1999 . “ Power-law or logarithmic law for turbulent boundary layers with low Reynolds number? ” . In Colloquium Fluid Dynamics , 8 Germany : Prague .
  • Ching , C. Y. , Djenidi , L. and Antonia , R. A. 1995 . Low-Reynolds number effects in a turbulent boundary layers . Experiments in Fluids , 19 : 61 – 68 .
  • Barenblatt , G. I. , Chorin , A. J. and Prostokishin , V. M. 2000 . Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers . Journal of Fluid Mechanics , 410 : 263 – 283 .
  • Tachie , M. F. , Bergstrom , D. J. and Balachandar , R. 2000 . Rough wall turbulent boundary layers in shallow open channel flow . Journal of Fluids Engineering , 122 : 533 – 541 .
  • Akinlade , O. G. and Bergstrom , D. J. Skin friction estimates in rough wall turbulent boundary layers using logarithmic and power law profiles . Proceedings of 4th International Symposium on Turbulence, Heat and Mass Transfer . Turkey . pp. 139 – 146 .
  • Djenidi , L. , Dubief , Y. and Antonia , R. A. 1997 . Advantages of using a power law in low Re θ boundary layers . Experiments in Fluids , 22 : 348 – 350 .
  • Perry , A. E. , Lim , K. L. and Henbest , S. M. 1987 . An experimental study of the turbulence structure in smooth- and rough-wall boundary layer . Journal of Fluid Mechanics , 177 : 437 – 466 .
  • Antonia , R. A. and Krogstad , P. A. 2001 . Effect of different surface roughnesses on a turbulent boundary layer . Fluid Dynamics and Research , 28 : 139 – 157 .
  • Porporato , A. and Sordo , S. 2001 . On the incomplete similarity for turbulent velocity profiles in rough pipes . Physics of Fluids , 13 : 2596 – 2601 .
  • Bergstrom , D. J. , Tachie , M. F. and Balachandar , R. 2001 . Application of power laws to low Reynolds number boundary layers on smooth and rough surfaces . Physics of Fluids , 13 : 3277 – 3284 .
  • Kotey , N. A. , Bergstrom , D. J. and Tachie , M. F. 2003 . Power laws for rough wall turbulent boundary layers . Physics of Fluids , 15 : 1396 – 1404 .
  • Balachandar , R. , Blakely , D. and Bugg , J. 2002 . Friction velocity and power law velocity profile in smooth and rough shallow open channel flows . Canadian Journal of Civil Engineering , 29 : 256 – 266 .
  • Seo , J. 2003 . Investigation of the upstream conditions and surface roughness in turbulent boundary layer , PhD Thesis New York : Rensselaer Polytechnic Institute .
  • Afzal , N. , Seena , A. and Bushra , A. 2006 . Power law turbulent velocity profile in transitional rough pipes . Journal of Fluids Engineering , 128 : 548 – 558 .
  • Akinlade , O. G. , Bergstrom , D. J. , Tachie , M. F. and Castillo , L. 2004 . Outer flow scaling of smooth and rough wall turbulent boundary layers . Experiments in Fluids , 37 : 604 – 612 .
  • Bergstrom , D. J. , Akinlade , O. G. and Tachie , M. F. 2005 . Skin friction correlation for smooth and rough wall turbulent boundary layers . Journal of Fluids Engineering , 127 : 1146 – 1153 .
  • Furuya , Y. and Fujita , H. 1967 . Turbulent boundary layers on a wire screen . Bulletin of JSME , 10 : 77 – 86 .
  • MacMillan , F. A. 1956 . Experiments on pitot-tubes in shear flow , 3028 Aeronautical Research Council, R. & M. .
  • Coleman , H. W. and Steele , W. G. 1999 . Experimentation and Uncertainty Analysis for Engineers, , 2nd edition , New York : Wiley .
  • Akinlade , O. G. 2006 . Effects of surface roughness on the flow characteristics in a turbulent boundary layer , PhD Thesis Canada : University of Saskatchewan .
  • Krogstad , P. A. , Antonia , R. A. and Browne , L. W. B. 1992 . Comparison between rough and smooth wall turbulent boundary layers . Journal of Fluid Mechanics , 245 : 599 – 617 .
  • Finley , P. J. , Khoo , C. P. and Chin , J. P. 1966 . Velocity measurements in a thin turbulent wake layer . La Houille Blanche , 21 : 713 – 721 .
  • Granville , P. S. 1976 . A modified law of the wake for turbulent shear layers . Journal of Fluids Engineering , 29 : 578 – 580 .
  • Nikuradse , J. 1933 . Stromungsgesetze in rauhen rohen ForschHft 361 Ver. Dt. Ing
  • Buschmann , M. H. and Gad-el-Hak , M. 2003 . Debate concerning the mean-velocity profile of a turbulent boundary layer . AIAA Journal , 41 : 565 – 572 .
  • Coles , D. E. 1956 . The law of the wake in the turbulent boundary layer . Journal of Fluid Mechanics , 1 : 91 – 226 .
  • Raupauch , M. R. , Antonia , R. A. and Rajagopalan , S. 1991 . Rough-wall turbulent boundary layers . Applied Mechanics Review , 44 : 1 – 25 .
  • Jimenez , J. 2004 . Turbulent flows over rough wall . Annual Review of Fluid Mechanics , 36 : 173 – 196 .
  • Gad-el-Hak , M. and Bandyopadhyay , P. R. 1994 . Reynolds number effects in wall-bounded flows . Applied Mechanics Reviews , 47 : 307 – 364 .
  • Schultz , M. P. and Flack , K. A. 2003 . Turbulent boundary layers over surface smoothed by sanding . Journal of Fluids Engineering , 125 : 863 – 870 .
  • Bandyopadhyay , P. R. 1987 . Rough-wall turbulent boundary layers in the transition regime . Journal of Fluid Mechanics , 180 : 231 – 266 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.