Towards local isotropy of higher order statistics in wakes

Shunlin Tang; Robert A. Antonia; Lyazid Djenidi; Luminita Danaila; Yu Zhou; Tongming Zhou

doi:10.1007/978-3-319-30602-5_15

Towards local isotropy of higher order statistics in wakes

Shunlin Tang^*
, Robert A. Antonia
, Lyazid Djenidi
, Luminita Danaila
, Yu Zhou
, Tongming Zhou

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
University of Newcastle
Université de Rouen Normandie
University of Western Australia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

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, [Formula presented] on the wake centreline, which should be zero if local isotropy is satisfied (n is a positive integer). It is found that the relation M_2n+1(∂u∕∂z) ∼ R⁻¹_λ 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 R_λ must be for local isotropy to be satisfied (i.e. M_2n+1(∂u∕∂z) = 0).

Original language	English
Title of host publication	Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF 2015
Editors	Antonio Segalini
Publisher	Springer Science and Business Media, LLC
Pages	119-124
Number of pages	6
ISBN (Print)	9783319306001
DOIs	https://doi.org/10.1007/978-3-319-30602-5_15
State	Published - 2016
Externally published	Yes
Event	5th International Conference on Jets, Wakes and Separated Flows, ICJWSF2015 - Stockholm, Sweden Duration: 15 Jun 2015 → 18 Jun 2015

Publication series

Name	Springer Proceedings in Physics
Volume	185
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	5th International Conference on Jets, Wakes and Separated Flows, ICJWSF2015
Country/Territory	Sweden
City	Stockholm
Period	15/06/15 → 18/06/15

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10.1007/978-3-319-30602-5_15

Cite this

Tang, S., Antonia, R. A., Djenidi, L., Danaila, L., Zhou, Y., & Zhou, T. (2016). Towards local isotropy of higher order statistics in wakes. In A. Segalini (Ed.), Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF 2015 (pp. 119-124). (Springer Proceedings in Physics; Vol. 185). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-30602-5_15

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title = "Towards local isotropy of higher order statistics in wakes",

abstract = "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, [Formula presented] 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) ∼ R−1λ 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).",

author = "Shunlin Tang and Antonia, \{Robert A.\} and Lyazid Djenidi and Luminita Danaila and Yu Zhou and Tongming Zhou",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.; 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF2015 ; Conference date: 15-06-2015 Through 18-06-2015",

year = "2016",

doi = "10.1007/978-3-319-30602-5\_15",

language = "英语",

isbn = "9783319306001",

series = "Springer Proceedings in Physics",

publisher = "Springer Science and Business Media, LLC",

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editor = "Antonio Segalini",

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address = "美国",

}

Tang, S, Antonia, RA, Djenidi, L, Danaila, L, Zhou, Y & Zhou, T 2016, Towards local isotropy of higher order statistics in wakes. in A Segalini (ed.), Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF 2015. Springer Proceedings in Physics, vol. 185, Springer Science and Business Media, LLC, pp. 119-124, 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF2015, Stockholm, Sweden, 15/06/15. https://doi.org/10.1007/978-3-319-30602-5_15

Towards local isotropy of higher order statistics in wakes. / Tang, Shunlin; Antonia, Robert A.; Djenidi, Lyazid et al.
Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows, ICJWSF 2015. ed. / Antonio Segalini. Springer Science and Business Media, LLC, 2016. p. 119-124 (Springer Proceedings in Physics; Vol. 185).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Towards local isotropy of higher order statistics in wakes

AU - Tang, Shunlin

AU - Antonia, Robert A.

AU - Djenidi, Lyazid

AU - Danaila, Luminita

AU - Zhou, Yu

AU - Zhou, Tongming

PY - 2016

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AB - 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, [Formula presented] 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) ∼ R−1λ 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).

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Y2 - 15 June 2015 through 18 June 2015

ER -

Towards local isotropy of higher order statistics in wakes

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