for and , (1,2), (1,3), and (1,4) vs normalized distance showing decay of boundary coefficients.
The heat flux in units of evaluated at for increasing order of Legendre polynomial and Laguerre polynomial . It shows the transition from the collisional to the collisionless regime, left to right in the plot.
The integral vs Braginskii heat fluxes. As collision length increases, the Braginskii closure incorrectly predicts higher heat fluxes. Agreement of the integral result with the collisionless result is also shown.
The integral and Braginskii heat fluxes, denoted by and , respectively, for the temperature profile (37) with .
Steady-state temperature profiles along a chord ( is the length along the chord) through the core showing that temperature predicted from the integral closure (red solid line) is higher than the Braginskii closure (blue dotted line). The experimental measurements (squares with an error bar) and numerical result (black dashed line) from Fig. 3 in Ref. 10 are also shown for comparison.
Steady-state parallel heat flux along the same chord of Fig. 5 showing that integral heat flux (a red solid line) is smoother and smaller than the Braginskii heat flux (a blue dotted line).
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