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Reynolds Equation and Mixing Length Model Phenomenological Theories of Turbulence Logarithmic Velocity Near a Wall Very near wall, in the viscous sublayer, turbulence fluctuation becomes small and the viscous stress becomes dominant. As a result,
or
Hence,
A schematic of the velocity profile is shown in the figure. Reichardt
suggested a smooth curve for the buffer region (Schlichting, McGraw-Hill, 1960). Outside
the viscous sublayer approximate expressions given by
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,
,
( 
),
and
may be used.
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