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|Title:||General relation for stationary probability density functions|
Antonia, R. A.
|Citation:||Physical Review E, 1995; 51(5):4466-4468|
|Publisher:||American Physical Society|
|School/Discipline:||School of Mechanical Engineering|
|J. Mi and R. A. Antonia|
|Abstract:||A linear relation between a normalized, time (t) dependent, statistically stationary quantity (z) and the normalized conditional expectation (r) of ∂2z/∂t2 allows r to generally satisfy two conditions subject to the stationarity requirement. Experimental data for both temperature and vorticity in several turbulent flows indicate that this relation appears universal. As a result, the exact expression derived by Pope and Ching [Phys. Fluids A 5, 1529 (1993)] for the probability density function (PDF) of any stationary quantity should generally reduce to the simpler form obtained by Ching [Phys. Rev. Lett. 70, 283 (1993)].|
|Rights:||©1995 American Physical Society|
|Appears in Collections:||Mechanical Engineering publications|
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