EI、Scopus 收录
Volume 53 Issue 9
Sep.  2021
Turn off MathJax
Article Contents
Li Yixiang, Wang Qiu, Luo Kai, Li Jinping, Zhao Wei. Theoretical analysis on hypersonic MHD shock stand-off distance of blunt body. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2493-2500 doi: 10.6052/0459-1879-21-127
Citation: Li Yixiang, Wang Qiu, Luo Kai, Li Jinping, Zhao Wei. Theoretical analysis on hypersonic MHD shock stand-off distance of blunt body. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(9): 2493-2500 doi: 10.6052/0459-1879-21-127


doi: 10.6052/0459-1879-21-127
  • Received Date: 2021-03-30
  • Accepted Date: 2021-08-02
  • Available Online: 2021-08-04
  • Publish Date: 2021-09-18
  • High speed and shock compression behind the bow shock of an aircraft head result in very high temperature, which would subsequently lead to a conductivity plasma flowfield around the vehicle. The plasma gas provides a direct working environment for the application of magnetic field. The magnetohydrodynamic (MHD) flow control, which uses the magnetic field to alter the trajectory of ions or electrons, can improve the aerodynamic characteristics of hypersonic vehicles effectively. As an intuitive aerodynamic phenomenon in the field of hypersonic MHD flow control, shock stand-off distance has attracted close attention from researchers. Under the influence of the applied magnetic field, the shock stand-off distance will change with it, of which the value can directly reflect the effect of the MHD flow control. However, the relevant theoretical models are still limited, and further development in this field is consequently needed. Focusing on dealing with this problem, MHD hypersonic shock stand-off distance of the spherical model is theoretically studied in this paper. By means of radially integrating the continuity equation and applying mathematical method of variable separation to the momentum equation, the analytical expression of MHD shock stand-off distance is obtained. The theoretical analysis was performed under the assumption of low magnetic Reynolds number, and the common-used dipole distribution of magnetic field as applied. The results show that the MHD stand-off distance of shock increases with the increase of magnetic interaction parameter. Moreover, the regularity can be found that as the speed of inflow becomes higher, magnetic interaction parameter can be viewed as the primary impact factor of shock stand-off distance under hypersonic condition. The theoretical model in this work can rapidly evaluate the effect of MHD control, and it can provide theoretical guidance to the design of experiment scheme and the analysis of results.


  • loading
  • [1]
    丁明松, 江涛, 刘庆宗等. 电导率模拟对高超声速MHD控制影响. 航空学报, 2019, 40(11): 123009 (Ding Mingsong, Jiang Tao, Liu Qingzong, et al. Influence of conductivity simulation on hypersonic MHD control. Acta Aeronautica et Astronautica Sinica, 2019, 40(11): 123009 (in Chinese)
    李益文, 张百灵, 李应红等. 磁流体动力学在航空工程中的应用与展望. 力学进展, 2017, 47(1): 452-502 (Li Yiwen, Zhang Bailing, Li Yinghong, et al. Application and prospect of magnetohydrodynamics in aeronautical engineering. Advances in Mechanics, 2017, 47(1): 452-502 (in Chinese)
    李开. 高温真实气体条件下的磁控热防护机理研究. [博士论文]. 长沙: 国防科学技术大学, 2017

    (Li Kai. Mechanism analysis of magnetohydrodynamic heat shield system including high temperature real gas effect. [PhD Thesis]. Changsha: National University of Defense Technology, 2017 (in Chinese))
    罗凯, 汪球, 李逸翔等. 基于高温气体效应的磁流体流动控制研究进展. 力学学报, 2021, 53(6): 1515-1531 (Luo Kai, Wang Qiu, Li Yixiang, et al. Research progress on magnetohydrodynamic flow control under test conditions with high temperature real gas effect. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(6): 1515-1531 (in Chinese) doi: 10.6052/0459-1879-21-067
    Ziemer RW. Experimental investigation in magneto-aerodynamics. ARS Journal, 1959, 29(9): 642-647 doi: 10.2514/8.4856
    Schramm JM, Hannemann K. Study of MHD effects in the high-enthalpy shock tunnel Göttingen (HEG) using a 30T-pulsed magnet system//31st International Symposium on Shock Waves, Nagoya, Japan, 2017
    Gildfind DE, Smith D, Lewis SW, et al. Expansion tube magneto- hydrodynamic experiments with argon test gas. AIAA Paper 2018-3754, 2018
    Seemann GR, Cambel AB. Observations concerning magnetoaero- dynamic drag and shock standoff distance. Proceedings of the National Academy of Sciences of the United States of America, 1966, 55(3): 457-465 doi: 10.1073/pnas.55.3.457
    Chang CF, Kranc SC, Nowak RJ, et al. Theoretical and experimental studies of magneto-aerodynamic drag and shock standoff distance. NASA-CR-70315, 1966
    Kawamura M, Matsuda A, Katsurayama H, et al. Experiment on drag enhancement for a blunt body with electrodynamic heat shield. Journal of Spacecraft and Rockets, 2009, 46(6): 1171-1177 doi: 10.2514/1.44230
    Smith DR, Gildfind DE, James CM, et al. Magnetohydrodynamic drag force measurements in an expansion tube. AIAA Paper 2018-3755, 2018
    Smith DR, Gildfind DE, Jacobs PA, et al. Magnetohydrodynamic drag measurements in an expansion tunnel with argon test gas. AIAA Journal, 2020, 58(10): 4495-4504 doi: 10.2514/1.J059540
    Gülhan A, Esser B, Koch U, et al. Experimental verification of heat-flux mitigation by electromagnetic fields in partially -ionized-argon flows. Journal of Spacecraft and Rockets, 2009, 46(2): 274-283 doi: 10.2514/1.39256
    Brio M, Wu CC. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. Journal of Computational Physics, 1988, 75(2): 400-422 doi: 10.1016/0021-9991(88)90120-9
    Augustinus J, Harada S, Agarwal RK, et al. Numerical solutions of the eight-wave structure ideal MHD equations by modified Runge-Kutta scheme with TVD. AIAA Paper 1997-2398, 1997
    Harada S, Augustinus J, Hoffmann K, et al. Development of a modified Runge-Kutta scheme with TVD limiters for the ideal 1-D MHD equations. AIAA Paper 1997-2090, 1997
    Damevin HM, Hoffmann K. Numerical magnetogasdynamics simulations of hypersonic, chemically reacting flows. AIAA Paper 2001-2746, 2001
    Zha G, Shen Y, Wang B. An improved low diffusion E-CUSP upwind scheme. Computers & Fluids, 2011, 48(1): 214-220
    田正雨. 高超声速流动的磁流体力学控制数值模拟研究. [博士论文]. 长沙: 国防科学技术大学, 2008

    (Tian Zhengyu. Numerical investigation for hypersonic control by magnetohydrodynamics method. [PhD Thesis]. Changsha: National University of Defense Technology, 2008 (in Chinese))
    Bush WB. Magnetohydrodynamic-hypersonic flow past a blunt body. Journal of the Aerospace Sciences, 1958, 25(11): 685-690 doi: 10.2514/8.7845
    Smith MC, Wu CS. Magnetohydrodynamic hypersonic viscous flow past a blunt body. AIAA Journal, 1964, 2(5): 963-965 doi: 10.2514/3.2465
    Porter RW, Cambel AB. Hall effect in flight magnetogasdynamics. AIAA Journal, 1967, 5(12): 2208-2213 doi: 10.2514/3.4410
    Ludford GSS, Murray JD. On the flow of a conducting fluid past a magnetized sphere. Journal of Fluid Mechanics, 1960, 7(4): 516-528 doi: 10.1017/S0022112060000268
    Meyer RX. Magnetohydrodynamic-hypersonic flow in the quasi-Newtonian approximation. Reviews of Modern Physics, 1960, 32(4): 1004-1007 doi: 10.1103/RevModPhys.32.1004
    Lykoudis PS. The Newtonian approximation in magnetic hypersonic stagnation-point flow. Journal of the Aerospace Sciences, 1961, 28(7): 541-546 doi: 10.2514/8.9073
    Ericson WB, Maciulaitis A. Investigation of magnetohydrodynamic flight control. Journal of Spacecraft and Rockets, 1964, 1(3): 283-289 doi: 10.2514/3.27637
    Hooks LE, Lewis RC. Simplified magnetoaerodynamic flow relations for axisymmetric blunt bodies. AIAA Journal, 1967, 5(4): 644-650 doi: 10.2514/3.4042
    Kemp NH. On hypersonic stagnation-point flow with a magnetic field. Journal of the Aeronautical Sciences, 1958, 25(6): 405-407
    Porter RW, Cambel AB. Magnetic coupling in flight magneto- aerodynamics. AIAA Journal, 1967, 5(4): 803-805 doi: 10.2514/3.4071
    Olivier H. A theoretical model for the shock stand-off distance in frozen and equilibrium flows. Journal of Fluid Mechanics, 2000, 413: 345-353 doi: 10.1017/S0022112000008703
    Lefevre A, Gildfind DE, Gollan RJ, et al. Expansion tube experiments of magnetohydrodynamic aerobraking for superorbital earth reentry. AIAA Journal, 2021, in press.
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索


    Article Metrics

    Article views (600) PDF downloads(88) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint