Shock oscillation in highly underexpanded jets

doi:10.1088/1674-1056/27/9/094705

中国物理B ›› 2018, Vol. 27 ›› Issue (9): 94705-094705.doi: 10.1088/1674-1056/27/9/094705

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Shock oscillation in highly underexpanded jets

Xiao-Peng Li(李晓鹏), Rui Zhou(周蕊), Xiao-Ping Chen(陈小平), Xue-Jun Fan(范学军), Guo-Shan Xie(谢国山)

1 China Special Equipment Inspection and Research Institute, Beijing 100029, China;
2 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 Key Laboratory of Fluid Transmission Technology of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou 310018, China;
4 State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2018-02-26 修回日期:2018-06-06 出版日期:2018-09-05 发布日期:2018-09-05
通讯作者: Xiao-Peng Li E-mail:lxpyfy@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11602028) and the Science and Technology Project of General Administration of Quality Supervision Inspection and Quarantine of China (Grant Nos. 2017QK119 and 2017QK188).

Shock oscillation in highly underexpanded jets

Xiao-Peng Li(李晓鹏)¹, Rui Zhou(周蕊)², Xiao-Ping Chen(陈小平)³, Xue-Jun Fan(范学军)⁴, Guo-Shan Xie(谢国山)¹

1 China Special Equipment Inspection and Research Institute, Beijing 100029, China;
2 Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 Key Laboratory of Fluid Transmission Technology of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou 310018, China;
4 State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received:2018-02-26 Revised:2018-06-06 Online:2018-09-05 Published:2018-09-05
Contact: Xiao-Peng Li E-mail:lxpyfy@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11602028) and the Science and Technology Project of General Administration of Quality Supervision Inspection and Quarantine of China (Grant Nos. 2017QK119 and 2017QK188).

摘要/Abstract

摘要：

The oscillatory motions of shocks in highly underexpanded jets with nozzle pressure ratios of 5.60, 7.47, 9.34, and 11.21 are quantitatively studied by using large eddy simulation. Two types of shock oscillations are observed:one is the Mach disk oscillation in the streamwise direction and the other is the shock oscillation in the radial direction. It is found that the Mach disk moves quickly in the middle of the oscillatory region but slowly at the top or bottom boundaries. The oscillation cycles of Mach disk are the same for different cases, and are all dominated by an axisymmetric mode of 5.298 kHz. For the oscillation in the radial direction, the shocks oscillate more toward the jet centerline but less in the jet shear layer, and the oscillation magnitude is an increasing function of screech amplitude. The cycles of the radial shock oscillation switch randomly between the two screech frequencies for the first two cases. However, the oscillation periodicity is more complex for the jets with high nozzle pressure ratios of 9.34 and 11.21 than for the jets with the low nozzle pressure ratios of 5.6 and 7.47. In addition, the shock oscillation characteristics are also captured by coarse mesh and Smagorinsky model, but the coarse mesh tends to predict a slower and weaker shock oscillation.

关键词: highly underexpanded jets, shock oscillation, large eddy simulation

Abstract:

Key words: highly underexpanded jets, shock oscillation, large eddy simulation

中图分类号: (Turbulent jets)

47.27.wg

47.60.Kz (Flows and jets through nozzles) 47.40.Nm (Shock wave interactions and shock effects) 47.27.ep (Large-eddy simulations)

李晓鹏, 周蕊, 陈小平, 范学军, 谢国山. Shock oscillation in highly underexpanded jets[J]. 中国物理B, 2018, 27(9): 94705-094705.

Xiao-Peng Li(李晓鹏), Rui Zhou(周蕊), Xiao-Ping Chen(陈小平), Xue-Jun Fan(范学军), Guo-Shan Xie(谢国山). Shock oscillation in highly underexpanded jets[J]. Chin. Phys. B, 2018, 27(9): 94705-094705.

参考文献 52

[1]	Chen Y X, Chen K, You Y X and Hu T Q 2013 Acta Phys. Sin. 62 114701 (in Chinese)
[2]	Xu M Y, Tong X Q, Yue D T, Zhang J P, Mi J C, Nathan G J and Kalt P A M 2014 Chin. Phys. B 23 124703 doi: 10.1088/1674-1056/23/12/124703
[3]	Zhang J P, Xu M Y and Mi J C 2014 Chin. Phys. B 23 044704 doi: 10.1088/1674-1056/23/4/044704
[4]	Li Y M, Li B K, Qi F S and Wang X C 2017 Chin. Phys. B 26 024701 doi: 10.1088/1674-1056/26/2/024701
[5]	Yan H, Wang F J, Li C C and Huang J 2017 Chin. Phys. B 26 044701 doi: 10.1088/1674-1056/26/4/044701
[6]	Tam C K W 1995 Annu. Rev. Fluid Mech. 27 17 doi: 10.1146/annurev.fl.27.010195.000313
[7]	Raman G 1998 Prog. Aerosp. Sci. 34 45 doi: 10.1016/S0376-0421(98)00002-5
[8]	Franquet E, Perrier V, Gibout S and Bruel P 2015 Prog. Aerosp. Sci. 77 25 doi: 10.1016/j.paerosci.2015.06.006
[9]	Prandtl L 1904 Physikalische Zeitschrift 4 599
[10]	Pack D C 1950 Quarterly J. Mech. Appl. Math. 3 173 doi: 10.1093/qjmam/3.2.173
[11]	Powell A 1953 Proc. Phys. Soc. B 66 1039 doi: 10.1088/0370-1301/66/12/306
[12]	Sherman P M, Glass D R and Duleep K G 1976 Appl. Sci. Res. 32 283 doi: 10.1007/BF00411780
[13]	Tam C K W and Tanna H K 1982 J. Sound Vib. 81 337 doi: 10.1016/0022-460X(82)90244-9
[14]	Tam C K W 1990 J. Sound Vib. 140 55 doi: 10.1016/0022-460X(90)90906-G
[15]	Panda J 1998 J. Fluid Mech. 363 173 doi: 10.1017/S0022112098008842
[16]	Panda J 1999 J. Fluid Mech. 378 71 doi: 10.1017/S0022112098003383
[17]	Panda J and Seasholtz R G 1999 Phys. Fluids 11 3761 doi: 10.1063/1.870247
[18]	Raman G 1997 J. Fluid Mech. 330 141 doi: 10.1017/S0022112096003801
[19]	Panda J, Raman G and Zaman K B M Q 1997 Third AeroAcoust. Conf., May 12-14, 1997, Georgia, USA, AIAA 1997
[20]	André B, Castelain T and Bailly C 2011 AIAA J. 49 1563 doi: 10.2514/1.J051057
[21]	André B, Castelain T and Bailly C 2012 AIAA J. 50 2017 doi: 10.2514/1.J051802
[22]	André B, Castelain T and Bailly C 2014 Shock Waves 24 21 doi: 10.1007/s00193-013-0457-4
[23]	Edgington-Mitchell D, Honnery D R and Soria J 2014 Phys. Fluids 26 096101 doi: 10.1063/1.4894741
[24]	Rogers T, Petersen P, Koopmans L, Lappas P and Boretti A 2015 Int. J. Hydrogen Energy 40 1584 doi: 10.1016/j.ijhydene.2014.10.140
[25]	Singh A and Chatterjee A 2007 Shock Waves 17 263 doi: 10.1007/s00193-007-0110-1
[26]	Berl, J, Bogey C and Bailly C 2007 Phys. Fluids 19 075105 doi: 10.1063/1.2747225
[27]	Vuorinen V, Yu J, Tirunagari S, Kaario O, Larmi M, Duwig C and Boersma B J 2013 Phys. Fluids 25 016101 doi: 10.1063/1.4772192
[28]	Vuorinen V, Wehrfritz A, Duwig C and Boersma B J 2014 Fuel 130 241 doi: 10.1016/j.fuel.2014.04.045
[29]	Hamzehloo A and Aleiferis P G 2014 Int. J. Hydrogen Energy 39 21275 doi: 10.1016/j.ijhydene.2014.10.016
[30]	Hamzehloo A and Aleiferis P G 2016 Int. J. Hydrogen Energy 41 6544 doi: 10.1016/j.ijhydene.2016.02.017
[31]	Li X P, Wu K, Yao W and Fan X J 2016 Int. J. Hydrogen Energy 41 5151 doi: 10.1016/j.ijhydene.2016.01.120
[32]	Donaldson C D and Snedeker R S 1971 J. Fluid Mech. 45 281 doi: 10.1017/S0022112071000053
[33]	Belan M, De P S and Tordella D 2010 Phys. Rev. E 82 530
[34]	Dubs P, Khalij M, Benelmir R and Tazibt A 2011 Mech. Res. Commun. 38 267 doi: 10.1016/j.mechrescom.2011.02.016
[35]	Li X P, Yao W and Fan X J 2016 AIAA J. 54 3191 doi: 10.2514/1.J054689
[36]	Chakravarthy V and Menon S 2001 Combustion Sci. Technol. 162 175 doi: 10.1080/00102200108952141
[37]	Chase M W 1974 J. Phys. Chem. Ref. Data 3 311 doi: 10.1063/1.3253143
[38]	Greenshields J G, Weller H G, Gasparini L and Reese J M 2010 Int. J. For Numer. Methods Fluids 63 1
[39]	Kurganov A and Tadmor E 2000 J. Comput. Phys. 160 241 doi: 10.1006/jcph.2000.6459
[40]	Jasak H, Weller H and Gosman A 1999 Int. J. Numer. Methods Fluids 31 431 doi: 10.1002/(SICI)1097-0363(19990930)31:2<431::AID-FLD884>3.0.CO;2-T
[41]	Baba-Ahmadi M H and Tabor G 2009 Comput. Fluids 38 1299 doi: 10.1016/j.compfluid.2009.02.001
[42]	Liu J, Ramamurti R, Munday D, Gutmark E, Kailasanath K and Lohner R 2009 AIAA J. 47 1849 doi: 10.2514/1.43281
[43]	Gorle C, Gamba M and Ham F 2010 Center For Turbulence Res. Annu. Res. Briefs, 2010, Center for Turbulence Research, Stanford, CA
[44]	Dauptain A, Cuenot B and Gicquel Y M 2010 AIAA J. 48 2325 doi: 10.2514/1.J050362
[45]	Kawai S and Lele K 2010 AIAA J. 48 2063 doi: 10.2514/1.J050282
[46]	Rana Z A, Thornber B and Drikakis D 2011 Phys. Fluids 23 046103 doi: 10.1063/1.3570692
[47]	Hamzehloo A and Aleiferis P G 2016 Int. J. Heat Fluid Flow 61 711 doi: 10.1016/j.ijheatfluidflow.2016.07.015
[48]	Gribben B, Badcock K and Richards B 2000 AIAA J. 38 275 doi: 10.2514/2.954
[49]	Mate B, Graur I A, Elizarova T, Chirokov I, Tejeda G, Fernández J M and Montero S 2001 J. Fluid Mech. 426 177 doi: 10.1017/S0022112000002329
[50]	Mattingly G E 1974 J. Fluid Mech. 65 541 doi: 10.1017/S0022112074001534
[51]	Smagorinsky J 1963 Mon. Weather Rev. 91 99 doi: 10.1175/1520-0493(1963)091<0099:GCEWTP>2.3.CO;2
[52]	Erlebacher G, Hussaini M Y, Speziale C G and Zang T A 1992 J. Fluid Mech. 238 155 doi: 10.1017/S0022112092001678

Shock oscillation in highly underexpanded jets

Shock oscillation in highly underexpanded jets

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