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Reichardt profile

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u^+ = \frac{1}{\kappa} ln(1+0.4y^+) + 7.8\left[ 1-exp\left(\frac{-y^+}{11}\right)-\frac{y^+}{11}exp\left(\frac{-y^+}{3}\right) \right]


u^+ Dimensionless velocity
y^+ Dimensionless wall distance
\kappa von Karman's constant (\approx 0.41)

H.Reichardt, Report No. 22 of the Max Planck Institute fur Stromungforschung and the Aerodynamische Versuchsanstalt, Gottingen, 1959

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