Is there a universal log law for turbulent wall-bounded flows?

被引:100
作者
George, William K. [1 ]
机构
[1] Chalmers, Dept Appl Mech, S-41296 Gothenburg, Sweden
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 365卷 / 1852期
关键词
wall turbulence; log law; pipe; channel; boundary layer;
D O I
10.1098/rsta.2006.1941
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The history and theory supporting the idea of a universal log law for turbulent wall-bounded flows are briefly reviewed. The original idea of justifying a log law from a constant Reynolds stress layer argument is found to be deficient. By contrast, it is argued that the logarithmic friction law and velocity profiles derived from matching inner and outer profiles for a pipe or channel flow are well-founded and consistent with the data. But for a boundary layer developing along a. at plate it is not, and in fact it is a power law theory that seems logically consistent. Even so, there is evidence for at least an empirical logarithmic fit to the boundary-friction data, which is indistinguishable from the power law solution. The value of kappa approximate to 0.38 obtained from a logarithmic curve fit to the boundary-layer velocity data, however, does not appear to be the same as for pipe flow for which 0.43 appears to be the best estimate. Thus, the idea of a universal log law for wall-bounded flows is not supported by either the theory or the data.
引用
收藏
页码:789 / 806
页数:18
相关论文
共 23 条
  • [1] [Anonymous], R26 NACA
  • [2] Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry
    Carlier, J
    Stanislas, M
    [J]. JOURNAL OF FLUID MECHANICS, 2005, 535 : 143 - 188
  • [3] CLAUSER FH, 1954, ADV APPL MECH, V4, P1
  • [4] THE LAW OF THE WAKE IN THE TURBULENT BOUNDARY LAYER
    COLES, D
    [J]. JOURNAL OF FLUID MECHANICS, 1956, 1 (02) : 191 - 226
  • [5] COLES DE, 1968, P AFOSR IFP STANFORD, V2, P1
  • [6] Self-similar vortex clusters in the turbulent logarithmic region
    del Alamo, Juan C.
    Jimenez, Javier
    Zandonade, Paulo
    Moser, Robert D.
    [J]. JOURNAL OF FLUID MECHANICS, 2006, 561 : 329 - 358
  • [7] GEORGE WK, 1997, APPL MECH REV, V50, P689, DOI DOI 10.1115/1.3101858
  • [8] ISAKSON, 1937, TECH PHYS USSR, V4, P155
  • [9] Friction factors for smooth pipe flow
    McKeon, BJ
    Swanson, CJ
    Zagarola, MV
    Donnelly, RJ
    Smits, AJ
    [J]. JOURNAL OF FLUID MECHANICS, 2004, 511 : 41 - 44
  • [10] Further observations on the mean velocity distribution in fully developed pipe flow
    McKeon, BJ
    Li, J
    Jiang, W
    Morrison, JF
    Smits, AJ
    [J]. JOURNAL OF FLUID MECHANICS, 2004, 501 : 135 - 147