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Moment approach to deriving parallel heat flow for general collisionality
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View: Figures


Image of FIG. 1.
FIG. 1.

for and , (1,2), (1,3), and (1,4) vs normalized distance showing decay of boundary coefficients.

Image of FIG. 2.
FIG. 2.

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.

Image of FIG. 3.
FIG. 3.

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.

Image of FIG. 4.
FIG. 4.

The integral and Braginskii heat fluxes, denoted by and , respectively, for the temperature profile (37) with .

Image of FIG. 5.
FIG. 5.

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.

Image of FIG. 6.
FIG. 6.

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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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Moment approach to deriving parallel heat flow for general collisionality