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Theoretical analysis reveals a value of 0.414 for von Karman's constant in turbulent flows, suggesting a fundamental mathematical basis for universal fluid scaling.
One of the few fundamental constants in fluid mechanics is von Karman's constant governing many turbulent flows. Using an energy argument and mathematical symmetry it is argued here that von Karman's constant is κ = 0.414 (with derivable corrections for specific applications)
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Roger L. Hughes (2007) studied this question.
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