Global properties and stability of transonic plasma acceleration in the magnetic nozzle

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Main Authors: Sheth, N., Smolyakov, A., Deguire, J., Pande, S., Yushmanov, P. N.
Format: Preprint
Published: 2025
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_version_ 1866913924802150400
author Sheth, N.
Smolyakov, A.
Deguire, J.
Pande, S.
Yushmanov, P. N.
author_facet Sheth, N.
Smolyakov, A.
Deguire, J.
Pande, S.
Yushmanov, P. N.
contents It is shown that transonic plasma acceleration in the converging-diverging magnetic field (magnetic nozzle) follows the unique global solution which is fully defined by the magnetic field. Such solution, which was analytically obtained earlier in the paraxial approximation, is compared here with results of the axisymmetric two-dimensional (rz) magnetohydrodynamics(MHD) simulations. It is shown that analytical solution describes well the region near the axis but also can be applied to arbitrary magnetic surfaces. The simulations with different length of the nozzle and different boundary values for plasma velocity show that the plasma flow switches to the unique transonic acceleration profile via the shock-like transition in the velocity and pressure profiles. The simulations with arbitrary (not vacuum) initial magnetic field demonstrate the global adjustment of the magnetic field such that the transonic acceleration velocity profile follows the analytic predictions with the modified magnetic field.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20880
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Global properties and stability of transonic plasma acceleration in the magnetic nozzle
Sheth, N.
Smolyakov, A.
Deguire, J.
Pande, S.
Yushmanov, P. N.
Plasma Physics
It is shown that transonic plasma acceleration in the converging-diverging magnetic field (magnetic nozzle) follows the unique global solution which is fully defined by the magnetic field. Such solution, which was analytically obtained earlier in the paraxial approximation, is compared here with results of the axisymmetric two-dimensional (rz) magnetohydrodynamics(MHD) simulations. It is shown that analytical solution describes well the region near the axis but also can be applied to arbitrary magnetic surfaces. The simulations with different length of the nozzle and different boundary values for plasma velocity show that the plasma flow switches to the unique transonic acceleration profile via the shock-like transition in the velocity and pressure profiles. The simulations with arbitrary (not vacuum) initial magnetic field demonstrate the global adjustment of the magnetic field such that the transonic acceleration velocity profile follows the analytic predictions with the modified magnetic field.
title Global properties and stability of transonic plasma acceleration in the magnetic nozzle
topic Plasma Physics
url https://arxiv.org/abs/2506.20880