When the magnetic Reynolds number R e m 1 , the induced magnetic field caused by the applied electric field E 0 and the applied magnetic field B 0 can be neglected for magnetohydrodynamic (MHD) control of plasma flows, which is the well-known low-magnetic-Reynolds-number assumption and widely used in the hypersonic MHD numerical simulation. The present study shows whether the induced magnetic field can be neglected depending on not only the magnetic Reynolds number but also the load factor k = E 0 / ( u B 0 ) , where u is the characteristic velocity. For the MHD accelerator problem, e.g., theoretical and numerical results indicate that the induced magnetic field is proportional to the product of R e m and k 1 , and the relative error caused by the induced magnetic field can reach above 25% for the temperature along the channel centerline. Based on the quantitative simulations at different R e m and k , an improved criterion ( k 1 ) R e m < 0.5 is proposed in this study to estimate the validity of the low-magnetic-Reynolds-number assumption.


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    Title :

    Study on Validity of Low-Magnetic-Reynolds-Number Assumption for Hypersonic Magnetohydrodynamic Control


    Contributors:
    Peng, Shunhao (author) / Jin, Ke (author) / Zheng, Xiaojing (author)

    Published in:

    AIAA Journal ; 60 , 12 ; 6536-6547


    Publication date :

    2022-12-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English



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