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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The integral method also can be applied to turbulent-flow conditions if experimental data for the wall shear stress are available. In one of the earliest attempts to analyze turbulent flow over a flat plate, Ludwig Prandtl proposed in 1921 the following relations for the dimensionless velocity and temperature distributions:

From experimental data, an empirical relation relating the shear stress at the wall to boundary layer thickness is:
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Following the approach outlined in Section 4.9.1 for laminar conditions, substitute the relations in the boundary layer momentum and energy integral equations and derive equations for: (a) the boundary layer thickness, (b) the local friction coefficient, and (c) the local Nusselt number. Assume δ - δt and discuss the limitations of your results.
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