Experimental study on spectrum and multi-scale nature of wall pressure and velocity in turbulent boundary layer

doi:10.1088/1674-1056/24/6/064702

Abstract When using a miniature single sensor boundary layer probe, the time sequences of the stream-wise velocity in the turbulent boundary layer (TBL) are measured by using a hot wire anemometer. Beneath the fully developed TBL, the wall pressure fluctuations are attained by a microphone mechanism with high spatial resolution. Analysis on the statistic and spectrum properties of velocity and wall pressure reveals the relationship between the wall pressure fluctuation and the energy-containing structure in the buffer layer of the TBL. Wavelet transform shows the multi-scale natures of coherent structures contained in both signals of velocity and pressure. The most intermittent wall pressure scale is associated with the coherent structure in the buffer layer. Meanwhile the most energetic scale of velocity fluctuation at y⁺= 14 provides a specific frequency f₉ ≈ 147 Hz for wall actuating control with Re_τ= 996.

Keywords: multi-scale coherent structures hot wire anemometry microphone wavelet transform

Received: 22 September 2014
Revised: 27 November 2014
Accepted manuscript online:

PACS:	47.27.De	(Coherent structures)
	47.27.nb	(Boundary layer turbulence ?)
	47.27.Rc	(Turbulence control)

Fund: Project supported by the National Basic Research Program of China (Grant Nos. 2012CB720101 and 2012CB720103) and the National Natural Science Foundation of China (Grant Nos. 11272233, 11332006, and 11411130150).

Corresponding Authors: Jiang Nan
E-mail: nanj@tju.edu.cn

About author: 47.27.De; 47.27.nb; 47.27.Rc

Cite this article:

Zheng Xiao-Bo (郑小波), Jiang Nan (姜楠) Experimental study on spectrum and multi-scale nature of wall pressure and velocity in turbulent boundary layer 2015 Chin. Phys. B 24 064702

[1]	Kravchenko A G, Choi H and Moin P 1993 Phys. Fluids A 5 3307
[2]	Orlandi P and Jiménez J 1994 Phys. Fluids 6 634
[3]	Wang L and Lu X Y 2011 Chin. Phys. Lett. 28 034703
[4]	Lei P F, Zhang J Z, Wang Z P and Chen J H 2014 Acta Phys. Sin. 63 084702 (in Chinese)
[5]	Zhang Q H, Yi S H, He Lin, Zhu Y Z and Chen Z 2013 Chin. Phys. B 22 114703
[6]	Hu H B, Du P, Huang S H and Wang Y 2013 Chin. Phys. B 22 074703
[7]	Han J and Jiang N 2012 Chin. Phys. Lett. 29 074703
[8]	Wang W, Guan X L and Jiang N 2014 Chin. Phys. B 23 104703
[9]	Choi H, Moin P and Kim J 1994 J. Fluid Mech. 262 75
[10]	Kim J 2011 Phil. Trans. R. Soc. A 369 1396
[11]	Deng B Q and Xu C X 2012 J. Fluid Mech. 710 234
[12]	Du C, Mi J C, Zhou Y and Zhan J 2011 Chin. Phys. Lett. 28 124703
[13]	Xue W H, Geng X G, Li J, Li F and Wu J 2010 Chin. Phys. Lett. 27 104703
[14]	Wu W T, Hong Y J and Fan B C 2014 Acta Phys. Sin. 63 054702 (in Chinese)
[15]	Zhang M, Geng X G, Zhang Y and Wang X N 2012 Acta Phys. Sin. 61 194702 (in Chinese)
[16]	Lee C, Kim J and Choi H 1998 J. Fluid Mech. 358 245
[17]	Willmarth W W 1956 J. Acoust. Soc. Am. 28 1048
[18]	Schewe G 1983 J. Fluid Mech. 134 311
[19]	Farabee T M and Casarella M J 1991 Phys. Fluids A 3 2410
[20]	Keith W L, Cipolla K M and Furey D 2009 Exp. Fluids 46 181
[21]	Camussi R, Guj G and Ragni A 2006 J. Sound Vib. 294 177
[22]	Kim J and Sung H J 2006 AIAA Journal 44 1393
[23]	Willmarth W W 1975 Ann. Rev. Fluid Mech. 7 13
[24]	Bull M K 1996 J. Sound Vib. 190 299
[25]	Lee I and Sung H J 2002 J. Fluid Mech. 463 377
[26]	Hudy L M, Naguib A M and Humphreys W M 2003 Phys. Fluids 15 706
[27]	Liu Y Z, Kang W and Sung H J 2005 Exp. Fluids 38 485
[28]	Hutchins N, Nichels T B, Marusic I and Chong M S 2009 J. Fluid Mech. 635 103
[29]	Harun Z, Monty J P, Mathis R and Marusic I 2013 J. Fluid Mech. 715 477
[30]	Ligrani P M and Bradshaw P 1987 Exp. Fluids 5 407
[31]	Pan C, Wang J J and He G S 2012 Chin. Phys. Lett. 29 104704
[32]	Chen L, Tang D B and Liu C Q. 2011 Acta Phys. Sin. 60 094702 (in Chinese)
[33]	Tang Z Q and Jiang N 2011 Chin. Phys. Lett. 28 054702
[34]	Stefes B and Fernholz H H 2004 Eur. J. Mech. B-Fluid 23 303
[35]	Monty J P, Hutchins N, Ng H C H, Marusic I and Chong M S 2009 J. Fluid Mech. 632 431
[36]	DeGraaff D B and Eaton J K 2000 J. Fluid Mech. 422 319
[37]	Smits A J, McKeon B J and Marusic I 2011 Ann. Rev. Fluid Mech. 43 353
[38]	Eyink G L 2008 Phys. Fluids 20 125101
[39]	Bull M K and Thomas A S W 1976 Phys. Fluids 19 597
[40]	Yang S Q and Jiang N 2012 Sci. China Ser. G-Phys. Mech. Astron. 55 1863
[41]	del Álamo J C and Jimeńez J 2009 J. Fluid Mech. 640 5
[42]	Moin P 2009 J. Fluid Mech. 640 1
[43]	Jiménez J 2012 Ann. Rev. Fluid Mech. 44 27
[44]	Gravante S P, Naguib A M, Wark C E and Nagib H M 1998 AIAA Journal 36 1808
[45]	Bradshaw P 1967 J. Fluid Mech. 30 241
[46]	Panton R L and Linebarger J H 1974 J. Fluid Mech. 65 261
[47]	Goody M 2004 AIAA Journal 42 1788
[48]	Blake W K 1970 J. Fluid Mech. 44 637
[49]	Klewicki J C, Priyadarshana P J A and Metzger M M 2008 J. Fluid Mech. 609 195
[50]	Volino R J and Simon T W 2000 J. Turbomach. 122 450
[51]	Camussi R and Guj G 1997 J. Fluid Mech. 348 177
[52]	Guj G and Camussi R 1999 J. Fluid Mech. 382 1
[53]	Meneveau C 1991 J. Fluid Mech. 232 469
[54]	Mallat S G 1989 IEEE Trans. PAMI 11 674
[55]	Farge M 1992 Ann. Rev. Fluid Mech. 24 395

[1]	Optical wavelet-fractional squeezing combinatorial transform Cui-Hong Lv(吕翠红), Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠). Chin. Phys. B, 2022, 31(2): 020303.
[2]	Single pixel imaging based on semi-continuous wavelet transform Chao Gao(高超), Xiaoqian Wang(王晓茜), Shuang Wang(王爽), Lidan Gou(苟立丹), Yuling Feng(冯玉玲), Guangyong Jin(金光勇), and Zhihai Yao(姚治海). Chin. Phys. B, 2021, 30(7): 074201.
[3]	Two-step phase-shifting Fresnel incoherent correlation holography based on discrete wavelet transform Meng-Ting Wu(武梦婷), Yu Zhang(张雨), Ming-Yu Tang(汤明玉), Zhi-Yong Duan(段智勇), Feng-Ying Ma(马凤英), Yan-Li Du(杜艳丽), Er-Jun Liang(梁二军), and Qiao-Xia Gong(弓巧侠). Chin. Phys. B, 2020, 29(12): 124201.
[4]	Wavelet optimization for applying continuous wavelet transform to maternal electrocardiogram component enhancing Qiong Yu(于琼), Qun Guan(管群), Ping Li(李萍), Tie-Bing Liu(刘铁兵), Jun-Feng Si(司峻峰), Ying Zhao(肇莹), Hong-Xing Liu(刘红星), Yuan-Qing Wang(王元庆). Chin. Phys. B, 2017, 26(11): 118702.
[5]	Harmonic signal extraction from noisy chaotic interference based on synchrosqueezed wavelet transform Wang Xiang-Li (汪祥莉), Wang Wen-Bo (王文波). Chin. Phys. B, 2015, 24(8): 080203.
[6]	Extraction and verification of coherent structures in near-wall turbulence Hu Hai-Bao (胡海豹), Du Peng (杜鹏), Huang Su-He (黄苏和), Wang Ying (王鹰). Chin. Phys. B, 2013, 22(7): 074703.
[7]	Wavelet transform for Fresnel-transformed mother wavelets Liu Shu-Guang(刘述光), Chen Jun-Hua(陈俊华), and Fan Hong-Yi(范洪义) . Chin. Phys. B, 2011, 20(12): 120305.
[8]	Inversion formula and Parseval theorem for complex continuous wavelet transforms studied by entangled state representation Hu Li-Yun(胡利云) and Fan Hong-Yi(范洪义). Chin. Phys. B, 2010, 19(7): 074205.
[9]	Wavelet-based multifractal analysis of DNA sequences by using chaos-game representation Han Jia-Jing(韩佳静) and Fu Wei-Juan (符维娟) . Chin. Phys. B, 2010, 19(1): 010205.
[10]	Network traffic prediction by a wavelet-based combined model Sun Han-Lin(孙韩林), Jin Yue-Hui(金跃辉), Cui Yi-Dong(崔毅东),and Cheng Shi-Duan(程时端) . Chin. Phys. B, 2009, 18(11): 4760-4768.
[11]	Fractional Fourier transform of Cantor sets: further numerical study Gao Qiong(高穹), Liao Tian-He(廖天河), and Cui Yuan-Feng(崔远峰). Chin. Phys. B, 2008, 17(6): 2018-2022.
[12]	Blind source separation of multichannel electroencephalogram based on wavelet transform and ICA You Rong-Yi (游荣义), Chen Zhong (陈忠). Chin. Phys. B, 2005, 14(11): 2176-2180.
[13]	OPTICAL REALIZATION OF WAVELET TRANSFORM WITH A SINGLE LENS Wang Qu-quan (王取泉), Xiong Gui-guang (熊贵光), Li Cheng-fang (李承芳), Zhang Su-huai (张苏淮), Wang Lin (王琳). Chin. Phys. B, 2001, 10(11): 1028-1031.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Experimental study on spectrum and multi-scale nature of wall pressure and velocity in turbulent boundary layer

Cite this article:

Online attention