Spectral derivation of the classic laws of wall-bounded turbulent flows
2017 ◽
Vol 473
(2204)
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pp. 20170354
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Keyword(s):
The Mean
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We show that the classic laws of the mean-velocity profiles (MVPs) of wall-bounded turbulent flows—the ‘law of the wall,’ the ‘defect law’ and the ‘log law’—can be predicated on a sufficient condition with no manifest ties to the MVPs, namely that viscosity and finite turbulent domains have a depressive effect on the spectrum of turbulent energy. We also show that this sufficient condition is consistent with empirical data on the spectrum and may be deemed a general property of the energetics of wall turbulence. Our findings shed new light on the physical origin of the classic laws and their immediate offshoot, Prandtl’s theory of turbulent friction.
Velocity transformation for compressible wall-bounded turbulent flows with and without heat transfer
2021 ◽
Vol 118
(34)
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pp. e2111144118
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Keyword(s):
1965 ◽
Vol 22
(2)
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pp. 285-304
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Keyword(s):
Keyword(s):