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Wall bounded turbulent shear flow: Analytic result for an universal amplitude

Amit Kr. Chattopadhyay·Jayanta K. Bhattacharjee
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Abstract

In the turbulent boundary layer above a flat plate, the velocity profile is known to have the form v=v_0[(1/κ) ln z + constant]. The distance from the wall in dimensionless units is z and v_0 is an uniquely defined velocity scale. The number κis universal and measurements over several decades have shown that it is nearly 0.42. We use a randomly stirred model of turbulence to derive the above law and find κ=\sqrt{\frac{108} {125 π}} \simeq 0.52.

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Amit Kr. Chattopadhyay, Jayanta K. Bhattacharjee. 1999-09-21. Wall bounded turbulent shear flow: Analytic result for an universal amplitude. https://doi.org/10.1103/physreve.63.016306

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