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There has been a resurgence in the field of magnetohydrodynamic (MHD) flow control in the past 20 years. An increasing demand for sustained hypersonic flight and rapid access to space, along with numerous mechanical and material advances in flight-weight MHD technologies, has aroused renewed interest in this subject area. As a novel application of MHD flow control in the thermal protection field, MHD heat shield system has been proved to be of great intrinsic value by lots of researchers in recent years. Although its theoretical feasibility has been validated, there are many problems that remain to be further investigated. Among those problems, the Hall effect is a remarkable one that may affect the effectiveness of MHD flow control. Considering the fact that it is not sufficient to evaluate the Hall effect by merely using the chemical reaction model implemented in the nonequilibrium flow simulation to calculate the Hall parameter, a parametric study is conducted under the assumption of simplified uniform Hall parameter. First, coupling numerical methods are constructed and validated to solve the thermochemical nonequilibrium flow field and the electro-magnetic field. Second, a series of numerical simulations of the MHD head shield system is conducted with different magnitudes of Hall parameter under two magnetic induction intensities (B0=0.2 T, 0.5 T). Finally, the influence of Hall effect on the performance of MHD heat shield system is analyzed. Results indicate that Hall effect is closely related to the wall conductivity. If the vehicle surface is regarded as an insulating wall, the heat flux variation is co-determined by varying the Lorentz forces within the boundary layer and the shock-control effect. Compared with the one neglecting the Hall effect, the heat flux with Hall effect is slightly mitigated as the increase of Lorentz forces in the boundary layer dominates when the stagnation magnetic induction intensity B0 equals 0.2 T. However, the heat flux is increased when B0 equals 0.5 T, because the decrease of shock stand-off distance dominates which increases the gas temperature outside the boundary layer. Moreover, in this case the larger the Hall parameter, the higher the heat flux will be. As for the conductive wall, the performance of MHD heat shield system becomes worse with the increase of Hall parameter, and while it is equal to or higher than 5.0, this system loses its effectiveness.
[1] Zhu Y J, Jiang Y S, Hua H Q, Zhang C H, Xin C W 2014Acta Phys.Sin. 63 244101(in Chinese)[朱艳菊, 江月松, 华厚强, 张崇辉, 辛灿伟2014物理学报63 244101]
[2] Zhao G Y, Li Y H, Liang H, Hua W Z, Han M H 2015Acta Phys.Sin. 64 015101(in Chinese)[赵光银, 李应红, 梁华, 化为卓, 韩孟虎2015物理学报64 015101]
[3] Tian Z Y, Zhang K P, Pan S, Li H 2008Chin.Quar.Mechan. 29 72(in Chinese)[田正雨, 张康平, 潘沙, 李桦2008力学季刊29 72]
[4] Zhang S H, Zhao H, Du A M, Cao X 2013Sci.China:Tech.Sci. 43 1242(in Chinese)[张绍华, 赵华, 杜爱民, 曹馨2013中国科学:技术科学43 1242]
[5] Bityurin V A, Bocharov A N 52nd Aerospace Sciences Meeting National Harbor, Maryland, January 13-17, 2014 AIAA 2014-1033
[6] Bisek N J, Gosse R, Poggie J 2013J.Spacecraft Rockets 50 927
[7] Yoshino T, Fujino T, Ishikawa M 201041st Plasmadynamics and Lasers Conference Chicago, Illinois, June 1-28, 2010
[8] Gulhan A, Esser B, Koch U, Siebe F, Riehmer J, Giordano D 2009J.Spacecraft Rockets 46 274
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[11] Matsushita K 2003Ph.D.Dissertation(Tokyo:University of Tokyo)
[12] Otsu H, Matsushita K, Konigorski D, Funaki I, Abe T 2004AIAA 2004-2167
[13] Fujino T, Matsumoto Y, Kasahara J, Ishikawa M 2007J.Spacecraft Rockets 44 625
[14] Matsuda A, Kawamura M, Takizawa Y, Otsu H, Konigorski D, Sato S, Abek T 200745th AIAA Aerospace Sciences Meeting and Exhibit Reno Nevada, January 8-112007
[15] LH Y, Lee C H 2010Chin.Sci.Bull. 55 1182(in Chinese)[吕浩宇, 李椿萱2010科学通报55 1182]
[16] Li K, Liu W Q 2016Acta Phys.Sin. 65 064701(in Chinese)[李开, 刘伟强2016物理学报65 064701]
[17] Liu J 2004Ph.D.Dissertation(Changsha:National University of Defense Technology)(in Chinese)[柳军2004博士论文(长沙:国防科技大学)]
[18] Bisek N J 2010Ph.D.Dissertation(Michigan:University of Michigan)
[19] Gnoffo P A, Gupta R N, Shinn J L 1989 NASA TP-2867
[20] Fujino T, Ishikawa M 2006IEEE Trans.Plasma Sci. 34 409
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[1] Zhu Y J, Jiang Y S, Hua H Q, Zhang C H, Xin C W 2014Acta Phys.Sin. 63 244101(in Chinese)[朱艳菊, 江月松, 华厚强, 张崇辉, 辛灿伟2014物理学报63 244101]
[2] Zhao G Y, Li Y H, Liang H, Hua W Z, Han M H 2015Acta Phys.Sin. 64 015101(in Chinese)[赵光银, 李应红, 梁华, 化为卓, 韩孟虎2015物理学报64 015101]
[3] Tian Z Y, Zhang K P, Pan S, Li H 2008Chin.Quar.Mechan. 29 72(in Chinese)[田正雨, 张康平, 潘沙, 李桦2008力学季刊29 72]
[4] Zhang S H, Zhao H, Du A M, Cao X 2013Sci.China:Tech.Sci. 43 1242(in Chinese)[张绍华, 赵华, 杜爱民, 曹馨2013中国科学:技术科学43 1242]
[5] Bityurin V A, Bocharov A N 52nd Aerospace Sciences Meeting National Harbor, Maryland, January 13-17, 2014 AIAA 2014-1033
[6] Bisek N J, Gosse R, Poggie J 2013J.Spacecraft Rockets 50 927
[7] Yoshino T, Fujino T, Ishikawa M 201041st Plasmadynamics and Lasers Conference Chicago, Illinois, June 1-28, 2010
[8] Gulhan A, Esser B, Koch U, Siebe F, Riehmer J, Giordano D 2009J.Spacecraft Rockets 46 274
[9] Cristofolini A, Borghi C A, Neretti G, Battista F, Schettino A, Trifoni E, Filippis F D, Passaro A, Baccarella D 201218th AIAA/3AF International Space Planes and Hypersonic Systems and Technologies Conference Tours, France, September 24-282012, AIAA 2012-5804
[10] Otsu H, Konigorski D, Abe T 2010AIAA J. 48 2177
[11] Matsushita K 2003Ph.D.Dissertation(Tokyo:University of Tokyo)
[12] Otsu H, Matsushita K, Konigorski D, Funaki I, Abe T 2004AIAA 2004-2167
[13] Fujino T, Matsumoto Y, Kasahara J, Ishikawa M 2007J.Spacecraft Rockets 44 625
[14] Matsuda A, Kawamura M, Takizawa Y, Otsu H, Konigorski D, Sato S, Abek T 200745th AIAA Aerospace Sciences Meeting and Exhibit Reno Nevada, January 8-112007
[15] LH Y, Lee C H 2010Chin.Sci.Bull. 55 1182(in Chinese)[吕浩宇, 李椿萱2010科学通报55 1182]
[16] Li K, Liu W Q 2016Acta Phys.Sin. 65 064701(in Chinese)[李开, 刘伟强2016物理学报65 064701]
[17] Liu J 2004Ph.D.Dissertation(Changsha:National University of Defense Technology)(in Chinese)[柳军2004博士论文(长沙:国防科技大学)]
[18] Bisek N J 2010Ph.D.Dissertation(Michigan:University of Michigan)
[19] Gnoffo P A, Gupta R N, Shinn J L 1989 NASA TP-2867
[20] Fujino T, Ishikawa M 2006IEEE Trans.Plasma Sci. 34 409
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