Simplified two-dimensional cylindrical model of the MCX system. The gun-injector port is located off-axis, on the upper right corner.
Gray scale contour plots of density for one-pass baseline simulation. The time sequence is indicated on the top left corner of each frame. The gray scale bar on the right varies from a density value of 0 to 3.5.
(a) Velocity field soon after slug insertion (Cartesian system). The backward plasma circulation above and below the slug is clearly evident. The swirls presumably lead to the mushrooms observed in the gray scale plots. (b) Density profile of slug, at 3 different times after insertion (Cartesian system). The profiles translate at a speed of approximately 0.1 with very little diffusion.
Baseline case: Momentum transferred, as defined by Eq. (8), at in time taken for one pass. The fractional increase in the momentum at due to momentum coupling is 11% and the fractional standard deviation is 9%.
One pass baseline case: snapshots of angular momentum density as a function of for three different times. The fractional change in the height of the curve is 10%, which is consistent with the 11% increase of Fig. 4.
Percentage momentum transfer increases with increasing speed (for ). The error bars correspond to the fractional standard deviation .
Same as Fig. 6 for . was doubled by increasing the density by a factor of 2 while was kept constant.
Gray scale plots of density for the case where the slug bounces off the center core. Only two frames, corresponding to and , are shown. The collision occurs at , and the simulation was terminated at . The gray scale bar on the right varies from a density value of 0 to 4.0.
Momentum transferred to the background plasma as a result of the slug bouncing off the center core and making one pass through the system. The fractional increase in the momentum (averaged over to ) is 29% and the fractional standard deviation is 17%.
Gray scale plots of density for one complete azimuthal traversal. The gray scale bar on the right varies from a density value of 0–7.0. The entire simulation was run for , however, only the frames for one full azimuthal traversal are shown here.
Momentum transferred to background plasma in a long run. The fractional increase in the momentum at due to momentum coupling is 27% and the fractional standard deviation is 19%.
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