Shock wave structure for a fully ionized plasma |
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Authors: | T O Masser J G Wohlbier R B Lowrie |
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Institution: | (1) Fluid Dynamics Group (T-3), MS B216, Los Alamos National Laboratory, P. O. Box 1663, Los Alamos, NM 87545, USA;(2) Fluid Dynamics Group (T-3), MS B216, Los Alamos National Laboratory, Los Alamos, USA |
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Abstract: | We study planar shock wave structure in a two-temperature model of a fully ionized plasma that includes electron heat conduction
and energy exchange between electrons and ions. For steady flow in a reference frame moving with the shock, the model reduces
to an autonomous system of ordinary differential equations which can be numerically integrated. A phase space analysis of
the differential equations provides an additional insight into the structure of the solutions. For example, below a threshold
Mach number, the model produces continuous solutions, while above another threshold Mach number, the solutions contain embedded
hydrodynamic shocks. Between the threshold values, the appearance of embedded shocks depends on the electron diffusivity and
the electron–ion coupling term. We also find that the ion temperature may achieve a maximum value between the upstream and
downstream states and away from the embedded shock. We summarize the methodology for solving for two-temperature shocks and
show results for several values of shock strength and plasma parameters in order to quantify the shock structure and explore
the range of possible solutions. Such solutions may be used to verify hydrodynamic codes that use similar plasma physics models. |
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