- Title
- Towards local isotropy of higher order statistics in wakes
- Creator
- Tang, Shunlin; Antonia, Robert A.; Djenidi, Lyazid; Danaila, Luminita; Zhou, Yu; Zhou, Tongming
- Relation
- 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015). Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015) [presented in Springer Proceedings in Physics, Vol. 185] (Stockholm, Sweden 15-18 June, 2015) p. 119-124
- Publisher Link
- http://dx.doi.org/10.1007/978-3-319-30602-5_15
- Publisher
- Springer
- Resource Type
- conference paper
- Date
- 2016
- Description
- In this paper, we test the local isotropy of higher order statistics in the intermediate wake region. We focus on normalized odd moments of the transverse velocity derivatives, M2n+1(𝜕u∕𝜕z)=(𝜕u∕𝜕z)²ⁿ⁺¹∕(𝜕u∕𝜕z)2(2n+1)∕2 on the wake centreline, which should be zero if local isotropy is satisfied (n is a positive integer). It is found that the relation M2n+1(𝜕u∕𝜕z) ∼ RM 𝜆̅¹ is supported reasonably well by hot-wire data up to the seventh-order (n = 3), although it is also dependent on the initial conditions. In particular, the present data show that the higher the order (e.g. fifth- or seventh-order), the higher R𝜆 must be for local isotropy to be satisfied (i.e. M2n+1(𝜕u∕𝜕z) = 0).
- Subject
- local isotropy; higher order statistics; wake region; analytical framework; transverse velocity derivatives
- Identifier
- http://hdl.handle.net/1959.13/1345208
- Identifier
- uon:29592
- Identifier
- ISBN:9783319306001
- Language
- eng
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