Abstract
In this paper we present the results of calculations of the space correlations of the random pressure field which acts on the surface of a flat plate out of a fully developed turbulent boundary layer. Calculations are performed on the basis of available experimental data on the cross-spectral density of the turbulent pressure fluctuations. It is found that the spacetime correlations have an explicitly expressed form similarity. This is used as a basis for deriving a simple approximate relation between the modulus of the normalized cross-spectral density, the energy spectrum, and the maxima of the space-time correlation coefficient. The results of elementary calculations performed on the basis of the obtained relation are shown to be almost identical with those obtained on a digital computer from exact formulas.
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Vol. 10, No. 3, pp. 116–120, May–June, 1969.
The author is indebted to Yu. G. Blyudze for useful discussions of the results of this paper.
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Smol'yakov, A.V. Some regularities of the turbulent pressure field in the boundary layer on a flat plate. J Appl Mech Tech Phys 10, 440–444 (1969). https://doi.org/10.1007/BF00916177
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DOI: https://doi.org/10.1007/BF00916177