@article{Shi2026, 
author = {Hao Shi and Hong Xiao and Li Zhou and Zhanxue Wang},
title = {Numerical simulation of hypersonic magnetofluid control based on non-linear coupling constitutive relation},
year = {2026},
journal = {Acta Aerodynamica Sinica},
volume = {44},
number = {2},
pages = {68-80},
keywords = {nonlinear coupled constitutive relations (NCCR), magnetofluid, flow control, thermochemical non-equilibrium flow, high-speed plasma, numerical simulation},
url = {https://www.sciopen.com/article/10.7638/kqdlxxb-2024.0160},
doi = {10.7638/kqdlxxb-2024.0160},
abstract = {To address the complex nonlinear flow mechanisms of high-speed plasma in magnetic fields, the conventional‌ Navier-Stokes (N-S) equations based on continuum theory fail to provide accurate predictions. Therefore, a novel framework was developed by‌ coupling the nonlinear coupling constitutive relations (NCCR) with Maxwell's electromagnetic field governing equations, augmented with the Park's TTv two-temperature model and the Park 11-component chemical reaction model. This integration established‌ a numerical simulation method and code for hypersonic magnetohydrodynamic (MHD) thermochemical non-equilibrium under‌ low magnetic Reynolds numbers conditions‌. Numerical simulations of high-speed plasma flow past a spherical body were conducted to investigate the influence mechanism of a dipole magnetic field on high-speed MHD control, with particular focus on‌ the effects of magnetic field existence‌ and its induction strength on plasma flow field structures. The results show that the presence of a magnetic field significantly alters high-speed plasma flow structures, with stronger magnetic fields inducing greater Lorentz forces on charged particles and consequently increasing bow shock detachment distances (e.g., a 452.38% increment observed at B0 = 3.0 T). Stagnation point heat flux variations exhibit dependence on multiple factors including magnetic induction strength, inflow altitude, and Mach number, showing a notable 45.55% reduction at H = 80 km after magnetic field introduction. Furthermore, the magnetic field induces prominent thermochemical non-equilibrium effects, primarily enhancing N2 dissociation in post-shock regions while modifying recombination reactions near walls, yet exerting minimal influence on O2 dissociation dynamics.}
}