Physical arguments for the Reynolds number dependence of the mean velocity profile of canonical turbulent boundary layer with zero pressure gradient are discussed. Based on these ideas the classical two-layer approach is extended and a generalized log law is derived. This new law consists of a logarithmic and exponential term. While the first term covers part of the usual overlap region, the second term describes the inner part of the wake zone. All parameters appearing in the new law are Reynolds number dependent. The new law is extended toward the wall employing a mixing length approach that shows the correct y{sup}(+3)-dependence of the Reynolds stress close to the wall.
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