Experimental tests of mean velocity distribution laws derived by lie group symmetry methods in turbulent boundary layers

• New scaling laws for turbulent boundary layers recently derived (see Oberlack, 2001) using Lie group symmetry methods have been tested against experimental data from the KTH data-base for zero-pressure-gradient turbulent boundary layers. The most significant new law gives an exponential variation of the mean velocity defect in the outer (wake) region. It was shown to fit very well the experimental data over a large part of the boundary layer, from the outer part of the overlap region to about half the boundary layer thickness (delta(99)). A small modification of the innermost part of the log-layer is predicted by the same method, in the form of an additive constant within the log-function, and was confirmed by the experimental data.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Maskinteknik -- Teknisk mekanik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Mechanical Engineering -- Applied Mechanics (hsv//eng)

Nyckelord

scaling laws

lie group methods

ZPG turbulent boundary layers

experiments

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