Turbulent Boundary layer thickness on a flat plate

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SUMMARY

The turbulent boundary layer thickness on a flat plate can be calculated using two primary formulas: the Schlichting formula, which states that δ = 0.37 X Re^{-0.2}, and the Hansen formula found in the 8th edition of "Boundary Layer Theory," expressed as (δU/ν) = 0.14 (Re/ln Re) G(ln Re). The Schlichting formula is well-established, while the Hansen formula offers a more complex relationship involving logarithmic functions. The derivation for the Schlichting formula is available upon request.

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  • Understanding of turbulent boundary layers
  • Familiarity with the Reynolds number (Re)
  • Knowledge of fluid dynamics principles
  • Basic mathematical skills for logarithmic functions
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  • Study the derivation of the Schlichting formula for turbulent boundary layers
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Mitra
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I am really confused. Would you please tell me what the turbulent boundary layer thickness is on a flat plate?

There is a well-known Schlichting formula in the previous editions of his book “boundary layer theory”, which is:

\delta = 0.37 X Re^{-0.2}

But actually I could not find this relationship in his 8th edition book, instead I found the Hansen Formula, which is:

\frac {\delta U}{\nu} = 0.14 \frac{Re}{\ln Re} G(\ln Re)
 
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Well I have the complete derivation for the Schlichting formula for the turbulent boundary layer.
If you need it, just ask. my e-mail id is waqaskhan200@yahoo.com
 

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