The velocity profile in a turbulent boundary-layer flow at zero pressure gradient is approximated by the (frac{1}{6})-power

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The velocity profile in a turbulent boundary-layer flow at zero pressure gradient is approximated by the \(\frac{1}{6}\)-power profile expression,

\[\frac{u}{U}=\eta^{1 / 6}, \quad \text { where } \quad \eta=\frac{y}{\delta}\]

Use the momentum integral equation with this profile to obtain expressions for \(\delta / x\) and \(C_{f}\). Compare with results obtained for the \(\frac{1}{7}\)-power profile.

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Fox And McDonald's Introduction To Fluid Mechanics

ISBN: 9781118912652

9th Edition

Authors: Philip J. Pritchard, John W. Mitchell

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