Abstract

In turbulent boundary layer problems, the velocity defect law suggested by Coles consists of two-universal functions; the law of the wall and the law of the wake. This defect law agrees very well with experiments for turbulent boundary layers, only at momentum Reynolds number Re ẟӿӿ> 6000. In the present work the wake function is modified to satisfy in such away simulatanously the normalizing conditions stated by Coles and the variation in the empirical constant & with Re ẟӿӿ (without any restrictions) and the velocity profile parameter P. The new modification in ﬡand wake functions provides the possibility of studying the velocity profile and the different parameters controlling the behaviour of the turbulent boundary layer efficiently.

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