An alternate analysis of turbulent flat-plate flow was given by Prandtl in 1927, using a wall shear-stress formula from pipe flow Show that this formula can be combined with Eqs. (7.32) and (7.40) to derive the following relations for turbulent flat-plate flow, these formulas are limited to Rex between 5 × 105 and 107.

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1/4 002 0.37 I/S 0.0577 0.072 r Re Re L/S ReL