Mean profiles for a passive scalar in wall-bounded flows from symmetry analysis

References

• Tennekes , H. and Lumley , J. L. 1972 . A First Course in Turbulence , Cambridge, MA : MIT Press .
   Google Scholar
• Kays , W. M. and Crawford , M. E. 1993 . Convective Heat and Mass Transfer , New York : MacGraw-Hill .
   Google Scholar
• Bradshaw , P. 1994 . Turbulence—the chief outstanding difficulty of our subject . Experiments in Fluids , 16 : 203 [CSA]
   Web of Science ®Google Scholar
• Kader , B. A. 1991 . Heat and mass transfer in pressure-gradient boundary layers . International Journal of Heat and Mass Transfer , 34 : 2837 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Barenblatt , G. I. 1996 . Scaling, Self-Similarity and Intermediate Asymptotic: Dimensional Analysis and Intermediate Asymptotic , Cambridge : Cambridge University Press .
   Google Scholar
• Antonia , R. A. and Danh , H. Q. 1977 . Structure of temperature fluctuations in a turbulent boundary layer . Physics of Fluids , 20 : 1050 [CROSSREF] [CSA]
   Google Scholar
• Durst , F. , Zanoun , E. S. and Nagib , H. 2004 . “ The mean velocity profile of two-dimensional fully-developed turbulent plane channel flows ” . In IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow , Edited by: Smits , A. J. 129 – 136 . Dordrecht : Kluwer .
   Google Scholar
• Wosnik , M. , Castillo , L. and George , W. 2000 . A theory of turbulent pipe and channel flows . Journal of Fluid Mechanics , 421 : 115 – 145 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Oberlack , M. 2001 . A unified approach for symmetries in plane parallel turbulent shear flows . Journal of Fluid Mechanics , 427 : 299 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Oberlack , M. 1999 . Similarity in non-rotating and rotating pipe flows . Journal of Fluid Mechanics , 379 : 1 – 22 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• George , W. K. , Castillo , L. and Wosnik , M. 1997 . Zero-pressure gradient turbulent boundary layer . Applied Mechanics Reviews , 50 : 689 – 729 . [CSA]
   Google Scholar
• Nazarenko , S. , Kevlahan , N. K.-R. and Dubrulle , B. 2000 . Nonlinear RDT of near-wall turbulence . Physica D , 139 : 158 – 176 . [CROSSREF] [CSA]
   Google Scholar
• Davoudi , J. and Eckhardt , B. 2005 . “ Symmetries and boundary layer profiles for scalar fields ” . In Progress in Turbulence , Edited by: Barth , S. , Peinke , J. , Kittel , A. and Oberlack , M. 43 – 46 . Berlin : Springer-Verlag .
   Google Scholar
• Bluman , G. W. and Kumei , S. 1989 . Symmetries and Differential Equations , Applied Mathematical Sciences vol. 81 , Berlin : Springer-Verlag .
   Google Scholar
• Ibragimov , N. H. 1994 . Handbook of Lie Group Analysis of Differential Equations , vol. 1–3 , Boca Raton, FL : CRC Press .
   Google Scholar
• Lindgren , J. , Österlund , J. M. and Johansson , A. 2004 . Evaluation of scaling law derived from Lie group symmetry methods in zero-pressure-gradient turbulent boundary layers . Journal of Fluid Mechanics , 502 : 127 – 152 . [CROSSREF] [CSA]
   Google Scholar
• http://murasun.me.noda.tus.ac.jp/turbulence (accessed 8 November 2006)
   Google Scholar
• Iuso , G. 2005 . private communication
   Google Scholar
• Lundbladh , A. , Henningson , D. S. and Johansson , A. V. 1992 . An efficient spectral integration method for the solution of the time-dependent Navier–Stokes equations , Aeronautical Research Institute of Sweden . FFA-TN-28
   Google Scholar
• Kawamura , H. , Abe , H. and Shingai , K. DNS of turbulence and heat transport in a channel flow with different Reynolds and Prandtl numbers and boundary conditions . Proc. of the 3rd International Symposium on Turbulence, Heat and Mass Transfer . Turbulence Heat and Mass Transfer , Edited by: Nagano , Y. , Hanjalic , K. and Tsuji , T. Vol. 3 , pp. 15 – 32 . Aichi Shuppan .
   Google Scholar
• Abe , H. , Kawamura , H. and Matsuo , Y. 2004 . Surface heat-flux fluctuations in a turbulent channel flow up to Re τ = 1020 with Pr = 0.025 and 0.71 . International Journal of Heat and Fluid Flow , 25 : 404 – 419 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Kays , W. M. 1994 . The Max Jacob lecture. Turbulent Prandtl number—where are we? . International Journal of Heat and Mass Transfer , 116 : 284 [CSA]
   Google Scholar
• Antonia , R. A. , Danh , H. Q. and Prabhu , A. 1977 . Response of a turbulent boundary layer to a step change in surface heat flux . Journal of Fluid Mechanics , 80 : 153 [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Debusschere , B. and Rutland , C. J. 2004 . Turbulent scalar transport mechanisms in plane channel and Couette flows . International Journal of Heat and Mass Transfer , 47 : 1771 – 1781 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar
• Kasagi , N. , Tomita , Y. and Kuroda , A. 1992 . Direct numerical simulation of passive scalar field in a turbulent channel flow . Transactions of the ASME , 114 : 598 – 606 . [CSA]
   Web of Science ®Google Scholar
• Tiselj , I. , Pogrebnyak , C. , Mosyak , A. and Hetsroni , G. 2001 . Effect of wall boundary conditions on scalar transfer in a fully developed turbulent flume . Physics Fluids , 13 ( 4 ) : 1028 – 1039 . [CROSSREF] [CSA]
   Web of Science ®Google Scholar