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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
[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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[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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