What question did this study set out to answer?

This research aims to determine a unified velocity distribution for turbulent incompressible boundary layers along a flat plate.

April 1, 2026Open Access

An analysis of turbulent boundary layer along a flat plate

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Analysis derives a resistance formula for turbulent boundary layers, suggesting implications for fluid dynamics applications.

This research aims to determine a unified velocity distribution for turbulent incompressible boundary layers along a flat plate.
Assumed third-degree polynomials for shearing stress and mixing length.
Introduced a laminar sublayer in the analysis.
Solved the momentum integral equation using derived velocity profiles.
Velocity distributions align with wall law near the wall and velocity defect law at external boundaries.
In laminar flow, results match Kármán-Pohlhausen’s profile.
The resistance formula derived is consistent with Blasius’ and Prandtl-Schlichting’s laws, except in the transition region.

Uchida et al. (1966) studied this question.

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