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An empirical formula of collision frequency has been used for years to calculate the collision frequency of aircraft plasma sheath. But the formula ignores the influences of electron-electron impact, electron-ion impact, and electro-magnetic (EM) wave driving effect on the collision frequency. To remedy these deficiencies, this paper proposes a segmentation calculation method. Based on the plasma kinetic theory, combined with real flow conditions and synthesizing the influences of electron-electron impact, electron-ion impact and EM wave driving effect together, this method defines a new parameter, ionization-to-thermal motion ratio, to calculate the collision frequency segmentally. Theoretical analysis and simulation results demonstrate that this method is closer to the truth than the empirical formula when ITR is greater than 5.
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Keywords:
- plasma sheath /
- collision frequency /
- empirical formula /
- wave propagation
[1] Chang Y 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [常雨2009博士学位论文(长沙: 国防科学技术大学)]
[2] Rybak J P, Churchill R J 1971 IEEE Trans. Aerosp. Electron. Syst. AES-7 879
[3] Zhao H Z, Wu S J, Dong N H 1983 Chin. J. Geophys. 26 9 (in Chinese) [赵汉卓, 吴是静, 董乃涵 1983 地球 26 9]
[4] Xu J Z, Shi J J, Zhang J, Zhang Q, Nakamura K, Sugai H 2010 Chin. Phys. B 19 075206
[5] Ma M R, Chen Y L, Wang L M, Wang C 2008 Chin. Phys. B 17 1854
[6] Le J L 2005 Reentry Physics (Beijing: National Defence Industry Press) p28 (in Chinese) [乐嘉陵2005再入物理(北京: 国防工业出版社)第28页]
[7] Lin T C, Sproul K 1995 26th Plasmadynamics and Lasers Conference San Diego, USA, June 19-22, 1995 AIAA 95-1942
[8] Liu S B 2004 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [刘少斌2004博士学位论文(长沙: 国防科学技术大学)]
[9] Potter D L 2006 37th AIAA Plasmadynamics and Lasers Conference San Francisco, USA, June 5-8, 2006 p3239
[10] Russo A J 1964 Interaction of Plane Electromagnetic Waves with a Fully Ionized Plasma (Albuquerque: Sandia National Laboratories) SC-TM-64-64A
[11] Murray A L 1988 Further Enhancements of the BLIMP Computer Code and User's Guide (Mountain View: Aerotherm Corporation) AFWAL-TR-88-3010
[12] Abbett M J 1971 Finite Difference of the Subsonic/Supersonic Inviscid Flowfield About a Supersonic Axisymmetric Blunt Body at Zero Incidence-Analysis and User's Manual (Mountain View, CA: Aerotherm Corporation) UM-71-34
[13] Zheng L, Zhao Q, Luo S G, Ma P, Liu S Z, Huang C, Xing X J, Zhang C Y, Chen X L 2012 Acta Phys. Sin. 61 155203 (in Chinese) [郑灵, 赵青, 罗先刚, 马平, 刘述章, 黄成, 邢晓俊, 张春艳, 陈旭霖 2012 61 155203]
[14] Yang M, Li X P, Liu Y M, Shi L, Xie K 2014 Acta Phys. Sin. 63 085201 (in Chinese) [杨敏, 李小平, 刘彦明, 石磊, 谢楷 2014 63 085201]
[15] Gurevich A V (translated by Liu X M, Zhang X X) 1986 Nonlinear Phenomena in the Ionosphere (Beijing: Science Press) pp16-140 (in Chinese) [古列维奇 A V著 (刘选谋, 张训械译) 1986 电离层中的非线性现象(北京: 科学出版社)第16–140页]
[16] Ginzburg V L (translated by Qian S X) 1978 The Propagation of Electronmagnetic Waves in Plasmas (Beijing: Science Press) pp65-84 (in Chinese) [金兹堡V L著(钱善瑎译) 1978电磁波在等离子体中的传播(北京: 科学出版社)第65–84页]
[17] Liu X M, Song Y H, Wang Y N 2011 Chin. Phys. B 20 065205
[18] Dunn M G, Kang S W 1973 Theoretical and Experimental Studies of Reentry Plasmas (Washington: National Aeronautics and Space Adminstration) NASA-CR-2232
[19] Jones W L, Cross A E 1972 Electrostatic-Probe Measurements of Plasma Parameters for Two Reentry Flight Experiments at 25000 Feet Per Second (Hampton: Langley Research Center) NASA-TN-D-6617
[20] Gnoffo P A, Gupta R N, Shinn J L 1989 Conservation Equations and Physical Models for Hypersonic Air Flows in Thermal and Chemical Nonequilibrium (Hampton: Langley Research Center) NASA-TP-2867
[21] National Aeronautics and Space Administration 1965 Conference on Langley Research Related to Apollo Mission Hampton, USA, June 22-24, 1965 NASA-SP-101
[22] Howe John T 1989 Hypervelocity Atmospheric Flight: Real Gas Flow Fields (Moffett Field: Ames Research Center) NASA-TM-101055
[23] National Aeronautics and Space Administration The Entry Plasma Sheath and Its Effects on Space Vehicle Electromagnetic Systems Volume I Hampton, Virginia October 13-15, 1970 NASA-SP-252
[24] Shkarofsky I P 1961 Can. J. Phys. 39 1619
[25] Yuan Z C, Shi J M 2014 Acta Phys. Sin. 63 095202 (in Chinese) [袁忠才, 时家明 2014 63 095202]
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[1] Chang Y 2009 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [常雨2009博士学位论文(长沙: 国防科学技术大学)]
[2] Rybak J P, Churchill R J 1971 IEEE Trans. Aerosp. Electron. Syst. AES-7 879
[3] Zhao H Z, Wu S J, Dong N H 1983 Chin. J. Geophys. 26 9 (in Chinese) [赵汉卓, 吴是静, 董乃涵 1983 地球 26 9]
[4] Xu J Z, Shi J J, Zhang J, Zhang Q, Nakamura K, Sugai H 2010 Chin. Phys. B 19 075206
[5] Ma M R, Chen Y L, Wang L M, Wang C 2008 Chin. Phys. B 17 1854
[6] Le J L 2005 Reentry Physics (Beijing: National Defence Industry Press) p28 (in Chinese) [乐嘉陵2005再入物理(北京: 国防工业出版社)第28页]
[7] Lin T C, Sproul K 1995 26th Plasmadynamics and Lasers Conference San Diego, USA, June 19-22, 1995 AIAA 95-1942
[8] Liu S B 2004 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [刘少斌2004博士学位论文(长沙: 国防科学技术大学)]
[9] Potter D L 2006 37th AIAA Plasmadynamics and Lasers Conference San Francisco, USA, June 5-8, 2006 p3239
[10] Russo A J 1964 Interaction of Plane Electromagnetic Waves with a Fully Ionized Plasma (Albuquerque: Sandia National Laboratories) SC-TM-64-64A
[11] Murray A L 1988 Further Enhancements of the BLIMP Computer Code and User's Guide (Mountain View: Aerotherm Corporation) AFWAL-TR-88-3010
[12] Abbett M J 1971 Finite Difference of the Subsonic/Supersonic Inviscid Flowfield About a Supersonic Axisymmetric Blunt Body at Zero Incidence-Analysis and User's Manual (Mountain View, CA: Aerotherm Corporation) UM-71-34
[13] Zheng L, Zhao Q, Luo S G, Ma P, Liu S Z, Huang C, Xing X J, Zhang C Y, Chen X L 2012 Acta Phys. Sin. 61 155203 (in Chinese) [郑灵, 赵青, 罗先刚, 马平, 刘述章, 黄成, 邢晓俊, 张春艳, 陈旭霖 2012 61 155203]
[14] Yang M, Li X P, Liu Y M, Shi L, Xie K 2014 Acta Phys. Sin. 63 085201 (in Chinese) [杨敏, 李小平, 刘彦明, 石磊, 谢楷 2014 63 085201]
[15] Gurevich A V (translated by Liu X M, Zhang X X) 1986 Nonlinear Phenomena in the Ionosphere (Beijing: Science Press) pp16-140 (in Chinese) [古列维奇 A V著 (刘选谋, 张训械译) 1986 电离层中的非线性现象(北京: 科学出版社)第16–140页]
[16] Ginzburg V L (translated by Qian S X) 1978 The Propagation of Electronmagnetic Waves in Plasmas (Beijing: Science Press) pp65-84 (in Chinese) [金兹堡V L著(钱善瑎译) 1978电磁波在等离子体中的传播(北京: 科学出版社)第65–84页]
[17] Liu X M, Song Y H, Wang Y N 2011 Chin. Phys. B 20 065205
[18] Dunn M G, Kang S W 1973 Theoretical and Experimental Studies of Reentry Plasmas (Washington: National Aeronautics and Space Adminstration) NASA-CR-2232
[19] Jones W L, Cross A E 1972 Electrostatic-Probe Measurements of Plasma Parameters for Two Reentry Flight Experiments at 25000 Feet Per Second (Hampton: Langley Research Center) NASA-TN-D-6617
[20] Gnoffo P A, Gupta R N, Shinn J L 1989 Conservation Equations and Physical Models for Hypersonic Air Flows in Thermal and Chemical Nonequilibrium (Hampton: Langley Research Center) NASA-TP-2867
[21] National Aeronautics and Space Administration 1965 Conference on Langley Research Related to Apollo Mission Hampton, USA, June 22-24, 1965 NASA-SP-101
[22] Howe John T 1989 Hypervelocity Atmospheric Flight: Real Gas Flow Fields (Moffett Field: Ames Research Center) NASA-TM-101055
[23] National Aeronautics and Space Administration The Entry Plasma Sheath and Its Effects on Space Vehicle Electromagnetic Systems Volume I Hampton, Virginia October 13-15, 1970 NASA-SP-252
[24] Shkarofsky I P 1961 Can. J. Phys. 39 1619
[25] Yuan Z C, Shi J M 2014 Acta Phys. Sin. 63 095202 (in Chinese) [袁忠才, 时家明 2014 63 095202]
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