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结合NS-DBD实验数据和理论分析, 建立NS-DBD单区非均匀唯象学模型, 旨在通过合理的模型进行流动控制仿真, 揭示流动控制机理. 在平板无来流时, 运用单区非均匀唯象学模型, 通过引入涡量输运方程, 求解涡量方程各项, 分析展向涡形成机理. 展向涡主要是由压力升诱导激励区压力梯度和密度梯度的不正交性产生的, 其次是激励区附近流场的对流引起的涡量转移. 圆柱上的激励仿真得到与实验一致的压缩波结构和冲击波位置, 验证了模型合理性. NACA 0015翼型大迎角分离控制的仿真表明, 激励诱导展向涡促使主流和分离流相互作用, 使分离点移向下游; 脉冲激励频率通过诱导展向涡的数量对流动分离产生不同的作用效果, 本文最佳的无量纲激励频率为6.One-zone inhomogeneous phenomenological nanosecond dielectric barrier discharge (NS-DBD) actuation model used for flow control simulation is established to investigate the flow control mechanisms, based on experiments and theoretical analysis. When the inhomogeneous phenomenological model is applied to a plate, the formation of spanwise vorticity is analyzed through the vorticity transport equation, and the spanwise vorticity is mainly engendered due to the baroclinicity of pressure gradient and density gradient, also due to the vorticity transfer by the flow convection in the vicinity of the actuation region. Agreement of the simulation with experiments on a column shows that the inhomogeneous phenomenological NS-DBD actuation model is reasonable. Separation control over NACA 0015 airfoil at high angle of attack indicates that the spanwise vortices induced by plasma actuation make the separated shear layer instable, promote interaction between shear layers, and downstream the separation point. Different excitation frequency has different effect on the lift, with the optimum reduced frequency F+ ≈ 6 in current simulation.
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Keywords:
- dielectric barrier discharge (DBD) /
- nanosecond pulse /
- flow control /
- simulation
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[5] Zhao X H 2012 Ph. D. Dissertation (Xi'an: Air force Engineering University) (in Chinese) [赵小虎 2012 博士学位论文(西安: 空军工程大学)]
[6] Wu Y, Li Y H, Jia M, Liang H, Song H M 2012 Chin.Phys.B 21 045202
[7] Rethmel C, Little J, Takashima K, Sinha A, Adamovich I, Samimy M 2011 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2011
[8] Roupassov D V, Nikipelov A A, Nudnova M M, Starikovskii A Y 2008 46th AIAA Aerospace Sciences Meeting and Exhibit Reno, Nevada, January 7-10 2008
[9] Nishihara M, Takashima K, Rich J W, Adamovich I V 2011 Phys. Fluids 23 066101
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[12] Poggie J, Bisek N J, Adamovich I, Nishihara M 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[13] Zhu Y F, Wu Y, Cui W, Li Y H, Jia M 2013 J. Phys. D: Appl. Phys. 46 355205
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[15] Correale G, Popov I B, Rakitin A E, Starikovskii A Y, Hulshoff S J, Veldhuis L L M 2011 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2011
[16] Popov I B, Nikipelov A, Pancheshnyi S, Correale G, Hulshoff S J, Veldhuis L L M, Zaidi S, Starikovskiy A Yu 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[17] Bisek N J, Poggie J, Nishihara M, Adamovich I 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[18] Glaz B, Dinavahi S P G, Gaitonde D V 2012 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference Honolulu, Hawaii, April 23-26 2012
[19] Gaitonde D V, Sahiny M, Shalerz K, Glaz B, Dinavahi S P G 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[20] Chen Z L, Hao L Z, Zhang B Q 2013 Science China Technological Sciences 56 1055
[21] Takashima K, Zuzeek Y, Lempert W R, Adamovich I V 2010 41st Plasmadynamics and Lasers Conference Chicago June,28-July 1 2010
[22] Klochko A V, Popov N A, Starikovskaia S M 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[23] Nudnova M, Kindusheva S, Aleksahdrov N 2010 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2010
[24] Unfer T, Boeuf J P 2009 J. Phys. D: Appl. Phys. 42 194017
[25] Popov N A 2011 J. Phys. D: Appl. Phys. 44 285201
[26] Aleksandrov N L, Kindysheva S V, Nudnova M M, Starikovskiy A Y 2010 J.Phys.D: Appl. Phys. 43 255201
[27] Mintoussov E I, Pendleton S J, Gerbault F G, Popov N A, Starikovskai S M 2011 J. Phys. D: Appl. Phys. 44 285201
[28] Klochko A V, Popov N A, Starikovskaia S M 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[29] Wu K Q, Shu Z H 2009 Advanced Fluid Mechanics (Beijing: China Electric Power Press) p39 (in Chinese) [吴克启, 舒朝晖 2009 高等流体力学(北京: 中国电力出版社) 第39页]
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[1] Li G, Li Y M, Xu Y J, Zhang Y, Li H M, Nie C Q, Zhu J Q 2009 Acta Phys. Sin. 58 4026 (in Chinese) [李钢, 李轶明, 徐燕骥, 张翼, 李汉明, 聂超群, 朱俊强 2009 58 4026]
[2] Wang J, Li Y H, Cheng B Q, Su C B, Song H M, Wu Y 2009 Acta Phys. Sin. 58 5513 (in Chinese) [王健, 李应红, 程邦勤, 苏长兵, 宋慧敏, 吴云 2009 58 5513]
[3] Jin D, Li Y H, Jia M, Li F Y, Cui W, Sun Q, Zhang B L, Li J 2014 Chin.Phys.B 23 035201
[4] Wing L, Luo Z B, Xia Z X, Liu B 2013 Acta Phys. Sin. 62 125207 (in Chinese) [王林, 罗振兵, 夏智勋, 刘冰 2013 62 125207]
[5] Zhao X H 2012 Ph. D. Dissertation (Xi'an: Air force Engineering University) (in Chinese) [赵小虎 2012 博士学位论文(西安: 空军工程大学)]
[6] Wu Y, Li Y H, Jia M, Liang H, Song H M 2012 Chin.Phys.B 21 045202
[7] Rethmel C, Little J, Takashima K, Sinha A, Adamovich I, Samimy M 2011 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2011
[8] Roupassov D V, Nikipelov A A, Nudnova M M, Starikovskii A Y 2008 46th AIAA Aerospace Sciences Meeting and Exhibit Reno, Nevada, January 7-10 2008
[9] Nishihara M, Takashima K, Rich J W, Adamovich I V 2011 Phys. Fluids 23 066101
[10] Zhu Y F 2013 M.S. Thesis (Xi'an: Air force Engineering University) (in Chinese) [朱益飞 2013 硕士学位论文(西安: 空军工程大学)]
[11] Poggie J, Bisek N J, Adamovich I, Nishihara M 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[12] Poggie J, Bisek N J, Adamovich I, Nishihara M 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[13] Zhu Y F, Wu Y, Cui W, Li Y H, Jia M 2013 J. Phys. D: Appl. Phys. 46 355205
[14] Li Y H, Wu Y, Liang H, Song H M, Jia M 2010 Chin. Sci. Bull. (Chinese Ver) 55 3060 (in Chinese) [李应红, 吴云, 梁华, 宋慧敏, 贾敏 2010 科学通报 55 3060]
[15] Correale G, Popov I B, Rakitin A E, Starikovskii A Y, Hulshoff S J, Veldhuis L L M 2011 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2011
[16] Popov I B, Nikipelov A, Pancheshnyi S, Correale G, Hulshoff S J, Veldhuis L L M, Zaidi S, Starikovskiy A Yu 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[17] Bisek N J, Poggie J, Nishihara M, Adamovich I 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[18] Glaz B, Dinavahi S P G, Gaitonde D V 2012 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference Honolulu, Hawaii, April 23-26 2012
[19] Gaitonde D V, Sahiny M, Shalerz K, Glaz B, Dinavahi S P G 2013 51st AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Grapevine (Dallas/Ft. Worth Region), Texas, January 7-10 2013
[20] Chen Z L, Hao L Z, Zhang B Q 2013 Science China Technological Sciences 56 1055
[21] Takashima K, Zuzeek Y, Lempert W R, Adamovich I V 2010 41st Plasmadynamics and Lasers Conference Chicago June,28-July 1 2010
[22] Klochko A V, Popov N A, Starikovskaia S M 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[23] Nudnova M, Kindusheva S, Aleksahdrov N 2010 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition Orlando, Florida, January 4-7 2010
[24] Unfer T, Boeuf J P 2009 J. Phys. D: Appl. Phys. 42 194017
[25] Popov N A 2011 J. Phys. D: Appl. Phys. 44 285201
[26] Aleksandrov N L, Kindysheva S V, Nudnova M M, Starikovskiy A Y 2010 J.Phys.D: Appl. Phys. 43 255201
[27] Mintoussov E I, Pendleton S J, Gerbault F G, Popov N A, Starikovskai S M 2011 J. Phys. D: Appl. Phys. 44 285201
[28] Klochko A V, Popov N A, Starikovskaia S M 2012 50th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition Nashville, Tennessee, January 9-12 2012
[29] Wu K Q, Shu Z H 2009 Advanced Fluid Mechanics (Beijing: China Electric Power Press) p39 (in Chinese) [吴克启, 舒朝晖 2009 高等流体力学(北京: 中国电力出版社) 第39页]
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