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A detached eddy simulation method with the turbulent separation is presented to simulate and analyze the characteristics for the flow around a circular cylinder with a turbulent boundary layer separation and its lift/drag coefficients in a weakly conductive fluid at a high subcritical Reynolds number 1.4×105 under an electromagnetic force. The results show that the electromagnetic force can increase the fluid kinetic energy near the turbulent boundary layer, delay the turbulent boundary layer separation of the flow around the circular cylinder, and weaken the intensity of the large-scale eddy in the turbulent flow around the circular cylinder in the streamwise and spanwise directions, reduce the time-average drag, and inhibit the lift fluctuation amplitude on the circular cylinder. Moreover, after the electromagnetic force parameter reaches a certain critical value, the turbulent boundary layer separation disappears and the jet phenomenon appears in the wake of the circular cylinder, so that the electromagnetic force produces the thrust action on the circular cylinder and the negative drag occurs, and the lift fluctuation amplitude declines to almost zero and the lift phenomenon on the circular cylinder disappears.
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Keywords:
- flow around a cylinder /
- turbulence separation /
- electromagnetic force /
- flow control
[1] Williamson C H K 1996 Annu. Rev. Fluids Mech. 28 477
[2] Gad-el-Hak M, Bushnell D M 1991 J. Fluids Eng. 113 5
[3] Zdravkovich M M 1981 J. Wind Eng. Ind. Aerod. 7 145
[4] Kwon K, Choi H 1996 Phys. Fluids 8 479
[5] Li Z, Navon I M, HussainiM Y, LeDimet F X 2003 Comput Fluids 32 149
[6] Atktin C J, Mughal M S 2005 35th AIAA Fluid Dyna mics Conference Exhibit (Toronto: AIAA) p5263
[7] Chen H 2011 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [陈虹 2011 博士学位论文 (武汉: 华中科技大学)]
[8] Jukes T, Choi K S 2007 IUTAM Symposium on Unsteady Separated Flows and Their Control (Corfu: IUTAM) p539
[9] Mei D J, Fan B C, Chen Y H, Ye J F 2010 Acta Phys. Sin. 59 8335 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方2010 物理学报59 8335]
[10] Feng L H, Wang J J 2010 J. Fluid Mech. 662 232
[11] Liu Z K, Zhou B M, Liu H X, Liu Z G, Huang Y F 2011 Acta Phys. Sin. 60 084701 (in Chinese) [刘宗凯, 周本谋, 刘会星, 刘志刚, 黄翼飞 2011 物理 学报 60 084701]
[12] Weier T, Gerbeth G, Mutschke G, Platacis E, Lielausis O 1998 Exp. Therm. Fluid Sci. 16 84
[13] Kim S J, Lee C M 2000 Exp. Fluids 28 252
[14] Weier T, Fey U, Gerbeth Q, Mutschke G, Lielausis O, Platacis E 2001 Magnetohrodynamics 37 177
[15] Kim S J, Lee C M 2001 Fluid Dyn. Res. 29 47
[16] Oliver P Roger G 2001 Eur. J. Mech. B 20 255
[17] Zhou B M, Fan B C, Chen Z H, Ye J F, Ding H X, Jin J M 2004 J. Exp. Mech. 19 242 (in Chinese) [周本谋, 范宝春, 陈志华, 叶经方, 丁汉新, 靳建明 2004 实验力学 19 242]
[18] Zhang H, Fan B C, Chen Z H 2007 Eng. Mech. 24 164 (in Chinese) [张辉, 范宝春, 陈志华 2007 工程力学 24 164]
[19] Zhang H, Fan B C, Chen Z H 2009 J. Exp. Mech. 24 427 (in Chinese) [张辉, 范宝春, 陈志华 2009 实验力学 24 427]
[20] Yin J F, You Y X, Hu T Q, Zhao L M, Wang L, Zhou Y M, Chen H 2013 Chin. J. Theor. Appl. Mech. 45 493 (in Chinese) [尹纪富, 尤云祥, 胡天群, 赵良明, 王磊, 周友明, 陈虹 2013 力学学报 45 493]
[21] Yin J F, Li W, You Y X, Hu T Q 2013 Chin. J. Hydrodyn. 28 495 (in Chinese) [尹纪富, 李巍, 尤云祥, 胡天群 2013 水动力学研究与进展 28 495]
[22] Zhang H, Fan B C, Chen Z H, Li Y L 2011 Fluid Dyn. Res. 43 015506
[23] Muk C O, Torbjorn U, Lars E H, Dag M 2009 Mar. Struct. 22 142
[24] Mittal R, Balachandar S 1995 Phys. Fluids 7 1841
[25] Travin A, Shur M, Strelets M, Spalart P 2000 Flow Turbul. Combust. 63 293
[26] Hansen R P, Forsythe J R 2003 41st AIAA Aerospace Sciences Meeting and Exhibit (Reno: AIAA) p775
[27] Krishnan V, Squires K D 2006 44th AIAA Aerospace Sciences Meeting and Exhibit (Reno: AIAA) p901
[28] Dong S, Karniadakis G E 2005 J. Fluids Struct. 20 519
[29] Benim A C, Pasqualotto E, Suh S H 2008 Prog. Comput. Fluid Dyn. 5 299
[30] Zhang Z S, Cui G X, Xu C X 2005 Theory and Modeling of Turbulence (Beijing: Tsinghua University Press) p233 (in Chinese) [张兆顺, 崔桂香, 许春晓 2005 湍流理论与模拟 (北京: 清华大学出版社) 第233页]
[31] Roshko A 1961 J. Fluid Mech. 10 345
[32] Hunt J C R, Wray A, Moin P 1988 Eddies, Stream, and Convergence Zones in Turbulent Flows (Stanford: Center for Turbulence Research Report) p193
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[1] Williamson C H K 1996 Annu. Rev. Fluids Mech. 28 477
[2] Gad-el-Hak M, Bushnell D M 1991 J. Fluids Eng. 113 5
[3] Zdravkovich M M 1981 J. Wind Eng. Ind. Aerod. 7 145
[4] Kwon K, Choi H 1996 Phys. Fluids 8 479
[5] Li Z, Navon I M, HussainiM Y, LeDimet F X 2003 Comput Fluids 32 149
[6] Atktin C J, Mughal M S 2005 35th AIAA Fluid Dyna mics Conference Exhibit (Toronto: AIAA) p5263
[7] Chen H 2011 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese) [陈虹 2011 博士学位论文 (武汉: 华中科技大学)]
[8] Jukes T, Choi K S 2007 IUTAM Symposium on Unsteady Separated Flows and Their Control (Corfu: IUTAM) p539
[9] Mei D J, Fan B C, Chen Y H, Ye J F 2010 Acta Phys. Sin. 59 8335 (in Chinese) [梅栋杰, 范宝春, 陈耀慧, 叶经方2010 物理学报59 8335]
[10] Feng L H, Wang J J 2010 J. Fluid Mech. 662 232
[11] Liu Z K, Zhou B M, Liu H X, Liu Z G, Huang Y F 2011 Acta Phys. Sin. 60 084701 (in Chinese) [刘宗凯, 周本谋, 刘会星, 刘志刚, 黄翼飞 2011 物理 学报 60 084701]
[12] Weier T, Gerbeth G, Mutschke G, Platacis E, Lielausis O 1998 Exp. Therm. Fluid Sci. 16 84
[13] Kim S J, Lee C M 2000 Exp. Fluids 28 252
[14] Weier T, Fey U, Gerbeth Q, Mutschke G, Lielausis O, Platacis E 2001 Magnetohrodynamics 37 177
[15] Kim S J, Lee C M 2001 Fluid Dyn. Res. 29 47
[16] Oliver P Roger G 2001 Eur. J. Mech. B 20 255
[17] Zhou B M, Fan B C, Chen Z H, Ye J F, Ding H X, Jin J M 2004 J. Exp. Mech. 19 242 (in Chinese) [周本谋, 范宝春, 陈志华, 叶经方, 丁汉新, 靳建明 2004 实验力学 19 242]
[18] Zhang H, Fan B C, Chen Z H 2007 Eng. Mech. 24 164 (in Chinese) [张辉, 范宝春, 陈志华 2007 工程力学 24 164]
[19] Zhang H, Fan B C, Chen Z H 2009 J. Exp. Mech. 24 427 (in Chinese) [张辉, 范宝春, 陈志华 2009 实验力学 24 427]
[20] Yin J F, You Y X, Hu T Q, Zhao L M, Wang L, Zhou Y M, Chen H 2013 Chin. J. Theor. Appl. Mech. 45 493 (in Chinese) [尹纪富, 尤云祥, 胡天群, 赵良明, 王磊, 周友明, 陈虹 2013 力学学报 45 493]
[21] Yin J F, Li W, You Y X, Hu T Q 2013 Chin. J. Hydrodyn. 28 495 (in Chinese) [尹纪富, 李巍, 尤云祥, 胡天群 2013 水动力学研究与进展 28 495]
[22] Zhang H, Fan B C, Chen Z H, Li Y L 2011 Fluid Dyn. Res. 43 015506
[23] Muk C O, Torbjorn U, Lars E H, Dag M 2009 Mar. Struct. 22 142
[24] Mittal R, Balachandar S 1995 Phys. Fluids 7 1841
[25] Travin A, Shur M, Strelets M, Spalart P 2000 Flow Turbul. Combust. 63 293
[26] Hansen R P, Forsythe J R 2003 41st AIAA Aerospace Sciences Meeting and Exhibit (Reno: AIAA) p775
[27] Krishnan V, Squires K D 2006 44th AIAA Aerospace Sciences Meeting and Exhibit (Reno: AIAA) p901
[28] Dong S, Karniadakis G E 2005 J. Fluids Struct. 20 519
[29] Benim A C, Pasqualotto E, Suh S H 2008 Prog. Comput. Fluid Dyn. 5 299
[30] Zhang Z S, Cui G X, Xu C X 2005 Theory and Modeling of Turbulence (Beijing: Tsinghua University Press) p233 (in Chinese) [张兆顺, 崔桂香, 许春晓 2005 湍流理论与模拟 (北京: 清华大学出版社) 第233页]
[31] Roshko A 1961 J. Fluid Mech. 10 345
[32] Hunt J C R, Wray A, Moin P 1988 Eddies, Stream, and Convergence Zones in Turbulent Flows (Stanford: Center for Turbulence Research Report) p193
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