Hostname: page-component-7dd5485656-gs9qr Total loading time: 0 Render date: 2025-10-30T15:15:16.361Z Has data issue: false hasContentIssue false

Numerical investigation of magnetic pole angle on the aerodynamic heating and force properties of hypersonic magnetohydrodynamic in two-dimensional axisymmetric geometry

Published online by Cambridge University Press:  14 July 2025

W. Gao
Affiliation:
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
Z. Zhang*
Affiliation:
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
T. He
Affiliation:
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
Y. Liu
Affiliation:
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China
W. Zhang*
Affiliation:
College of Electromechanical Engineering, Qingdao University of Science & Technology, Qingdao, China
*
Corresponding authors: Z. Zhang; Email: zhjzhang@mail.neu.edu.cn; W. Zhang; Email: zhangwq1101@163.com
Corresponding authors: Z. Zhang; Email: zhjzhang@mail.neu.edu.cn; W. Zhang; Email: zhangwq1101@163.com

Abstract

The hypersonic vehicle surfaces are subjected to intense thermal loads during atmospheric re-entry. Such conditions induce material ablation and structural deformation, potentially causing changes to aerodynamic configuration that critically endanger mission integrity. In this paper, a mathematical model of thermochemical non-equilibrium magnetohydrodynamics (MHD) at low magnetic Reynolds number is introduced to investigate the effects of MHD on the flow field. Variation of the magnetic pole angle (θ), the flow field profiles are quantitatively analysed, including gas component distributions and aerodynamic heating characteristics. Results indicate that the heat flux at the stagnation point initially decreases and then increases with θ increasing, reaching a minimum at θ = 60°. A portion of the heat flux from the blunt position is transferred to the shoulder (α between 30° and 60°). Notably, the shock standoff distance also shows a non-monotonic trend with θ increasing, peaking at θ = 30°, mirroring the effect of θ on the stagnation point heat flux. As θ increases, the component of the Lorentz force along the X-direction gradually increases, with its peak position corresponding to the shock standoff distance. The electrons and nitrogen atoms are primarily concentrated at the blunt nose, while nitric oxide and oxygen atoms are predominantly distributed along the vehicle wall. The dissociation region of the gas is influenced by the shock standoff distance, which increases as the shock standoff distance increases. At θ = 30°, the concentration of oxygen atoms, nitrogen atoms, nitric oxide molecules and electrons on the stagnation point line reaches its maximum. The present study provides a theoretical foundation for the application of MHD thermal protection methods on hypersonic vehicles.

Information

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

Footnotes

First author: Weifeng Gao

References

Gülhan, A., Hargarten, D., Zurkaulen, M., et al. Selected results of the hypersonic flight experiment STORT, Acta Astronaut., 2023, 211, pp 333343.CrossRefGoogle Scholar
Anderson, J.D. Jr Hypersonic and high-temperature gas dynamics second edition, 2006, American Institute of Aeronautics and Astronautics Press, Inc., Reston, VA.CrossRefGoogle Scholar
Dai, C., Sun, B., Yue, L., et al. Thermochemical non-equilibrium flow characteristics of high Mach number inlet in a wide operation range, Chin. J. Aeronaut., 2023, 36, (12), pp 164184.CrossRefGoogle Scholar
Yang, X., Li, Q., Xiao, G., et al. Influence of heterogeneous catalysis on aerothermodynamics at hypersonic speeds based on gas-interface-solid coupling simulation, Int. J. Heat Mass Transf., 2023, 214, p 124450.CrossRefGoogle Scholar
Hao, J., Wang, J. and Lee, C. Numerical simulation of high-enthalpy double-cone flows, AIAA J., 2017, 55, pp 24712475.CrossRefGoogle Scholar
Liu, Z., Liu, J., Ding, F., et al. Effect of thermochemical non-equilibrium on the aerodynamics of an osculating-cone waverider under different angles of attack, Acta Astronaut., 2017, 139, pp 288295.CrossRefGoogle Scholar
Shu, H., Zhong, W. and Feng, J. Observation of superconductivity and ferromagnetism in high-entropy carbide ceramics, Acta Mater., 2025, 285, p 120693.CrossRefGoogle Scholar
Rashid, S., Zafar, M.S. and Emmanual, O.O. Coexistence of superconductivity and ferromagnetism in SmC10 at low temperatures, J. Alloy. Compd., 2025, 1014, p 178640.CrossRefGoogle Scholar
Fomichev, V.P. and Yadrenkin, M.A. Effect of electric discharges in magnetic field on hypersonic flow around bodies, J. Phys. Conf. Ser, 2018, 1112, p 012016.CrossRefGoogle Scholar
Su, L.Y., Cheng, B., Wang, J., et al. MHD flow control of oblique shock waves around ramps in low-temperature supersonic flows, Chin. J. Aeronaut., 2010, 23, pp 2232.Google Scholar
Borghi, C.A., Carraro, M.R., Cristofolini, A., et al. Magnetohydrodynamic interaction in the shock layer of a wedge in a hypersonic flow, IEEE Trans. Plasma Sci., 2006, 34, pp 24502463.CrossRefGoogle Scholar
Gong, G., Li, Y., Wang, Y., et al. Investigation on wedge shock wave control by surface MHD actuation, AIP Adv., 2020, 10, (5), p 055212.CrossRefGoogle Scholar
Minkwan, K. Active plasma layer manipulation scheme during hypersonic flight, Aerosp. Sci. Technol., 2014, 35, pp 135142.Google Scholar
Ryakhovskiy, A.I. and Schmidt, A.A. MHD supersonic flow control: OpenFOAM simulation, Trudy ISP RAN /Proc. ISP RAS, 2016, 28, pp 197206.CrossRefGoogle Scholar
Ryakhovskiy, A.I. and Schmidt, A.A. Numerical study of MHD supersonic flow control, International Conference PhysicA.SPb/2016, 2016, Saint-Petersburg, Russia.CrossRefGoogle Scholar
Kadochnikov, I.N., Loukhovitski, B.I. and Starik, A.M. Thermally nonequilibrium effects in shock-induced nitrogen plasma: modelling study, Plasma Sources Sci. Technol., 2013, 22, p 035013.CrossRefGoogle Scholar
Bityurin, V.A. and Bocharov, A.N. MHD heat flux mitigation in hypersonic flow around a blunt body with ablating surface, J. Phys. D: Appl. Phys., 2018, 51, p 264001.CrossRefGoogle Scholar
Bityurin, V.A., Bocharov, A.N. and Popov, N.A. Magnetohydrodynamic deceleration in the Earth’s atmosphere, J. Phys. D: Appl. Phys., 2019, 52, p 354001.CrossRefGoogle Scholar
Li, K., Liu, J. and Liu, W. Mechanism analysis of Magnetohydrodynamic heat shield system and optimization of externally applied magnetic field, Acta Astronaut., 2017, 133, pp 1423.CrossRefGoogle Scholar
Muir, H.A. and Nikiforakis, N. Numerical modeling of imposed magnetohydrodynamic effects in hypersonic flows, Phys. Fluids, 2022, 34, p 107114.CrossRefGoogle Scholar
Ding, M., Jiang, T., Dong, W., et al. Numerical analysis of the influence of thermochemical model on hypersonic magnetohydrodynamic control, Acta Phys. Sin., 2019, 68, p 174702 CrossRefGoogle Scholar
Ding, M., Jiang, T., Gao, T., et al. Numerical simulation of 3D plasma MHD aero-thermal environmen, Acta Aeronautica et Astronautica Sinica, 2017, 38, (8), pp 3342 (in Chinese).Google Scholar
Ding, M., Jiang, T., Dong, W., et al. Impact of simulation of electrical conductivity on hypersonic MHD control, Acta Aeronautica et Astronautica Sinica, 2021, 42, (2), p 123278 (in Chinese).Google Scholar
Ding, M., Liu, Z., Jiang, T., et al. Simulation of magnetohydrodynamic heat shield system on reusable launch vehicle, Acta Aeronautica et Astronautica Sinica, 2020, 42 (2), p 124501 (in Chinese).Google Scholar
Nagata, Y., Otsu, H., Yamada, K., et al. Influence of hall effect on electrodynamic flow control for weakly ionized flow, 43rd AIAA Plasmadynamics and Lasers Conference, 2012, New Orleans, Louisiana.CrossRefGoogle Scholar
Nagata, Y., Otsu, H., Yamada, K., et al. Influence of the magnetic configuration on the electrodynamic flow control for the weakly ionized flow, 42nd AIAA Plasma Dynamics and Lasers Conference, 2011, Honolulu, Hawaii.CrossRefGoogle Scholar
Nagata, Y., Yamada, K. and Abe, T. Hypersonic double-cone flow with applied magnetic field, J. Spacecr. Rockets, 2013, 50, (5), pp 981991.CrossRefGoogle Scholar
Wang, C., Tian, Z., Li, S., et al. Influence mechanism of magnetic field direction on magnetic drag of reentry vehicle and better magnetic field direction, Acta Astronaut., 2023, 206, pp 274283.Google Scholar
Muylaert, J., Walpot, L., Haeuser, J., et al. Standard model testing in the European High Enthalpy Facility F4 and extrapolation to flight, AIAA 17th Aerospace Ground Testing Conference, 1992, Nashville, TN, USA.CrossRefGoogle Scholar
Assonitis, A., Paciorri, R. and Bonfiglioli, A. Numerical simulation of shock/boundary-layer interaction using an unstructured shock-fitting technique, Comput. Fluids, 2021, 228, p 105058.CrossRefGoogle Scholar
Candler, G.V. and Maccormack, R.W. Computation of weakly ionized hypersonic flows in thermochemical nonequilibrium, J. Thermophys. Heat Transf., 1991, 5(3), pp 266273.CrossRefGoogle Scholar
Bur, R. and Chanetz, B. Experimental study on the PRE-X vehicle focusing on the transitional shock-wave/boundary-layer interactions, Aerosp. Sci. Technol., 2009, 13, pp 393401.CrossRefGoogle Scholar
Luo, S., Wu, L., Chang, Y., et al. Thermochemical non-equilibrium and electromagnetic effects of double-cone in hypervelocity flow, Aerosp. Sci. Technol., 2023, 132, p 108041.CrossRefGoogle Scholar
Yang, J. and Liu, M. Numerical analysis of hypersonic thermochemical non-equilibrium environment for an entry configuration in ionized flow, Chin. J. Aeronaut., 2019, 32, pp 26412654.CrossRefGoogle Scholar
Park, C. Two-temperature interpretation of dissociation rate data for N2 and O2, AIAA 26th Aerospace Sciences Meeting, 1988, Nevada, USA.CrossRefGoogle Scholar
Casseau, V., Palharini, R., Scanlon, T., et al. A two-temperature open-source CFD model for hypersonic reacting flows, part one: Zero-dimensional analysis, Aerospace, 2016, 3(34), p 34.CrossRefGoogle Scholar
Zhang, W, . Research on the characteristics and the aerodynamic heating/drag of opposing jet in hypersonic nonequilibrium flow, Northeastern University, 2022.Google Scholar
Candler, G.V. Rate effects in hypersonic flows. Annu. Rev. Fluid Mech., 2019, 51, pp 379402.CrossRefGoogle Scholar
Kim, J.G., Kang, S.H. and Park, S.H. Thermochemical nonequilibrium modeling of oxygen in hypersonic air flows, Int. J. Heat Mass Transf., 2020, 148, p 119059.CrossRefGoogle Scholar
Zhang, W., Wang, X., Zhang, Z., et al. Numerical investigation on the jet characteristics and the heat and drag reductions of opposing jet in hypersonic nonequilibrium flows, Aerospace, 2022, 9, p 554.CrossRefGoogle Scholar
National Oceanic and Atmospheric Administration (NOAA). U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington D.C., 1976.Google Scholar
Zhang, W., Zhang, Z. and Yang, H. Assessment of the influences of numerical models on aerodynamic performances in hypersonic nonequilibrium flows, Processes, 2024, 12, p 2629.CrossRefGoogle Scholar