Abstract
The analytical model of the axisymmetric magnetic nozzle flow is proposed on the basis of magnetohydrodynamics(MHD) in the present work. The developed model is described in quasi one dimensional form for simplicity of the analysis. This model implies that the geometric throat of the channel is not always identical to the point where Mach number is one. Then, the comparison with the experimental results is made. The present analytical model successfully describes the acceleration of the plasma flow from subsonic to supersonic, though qualitative agreement with the experimental results is not satisfactory. We use J = ae(E +u £B) as Ohm’ s law in place of the ideal MHD assumption. The acceleration process in the present magnetic nozzle model shows the same tendency as that in ideal MHD, when we consider perfectly-ionized plasma and extremely large electric conductivity, because such situation is very close to that of the ideal MHD. The present model is expected to be quite useful in the case of weakly-ionized plasma flows, which are often seen in plasma wind tunnels.
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