Geodesic
On the calculation of radiative heat transfer in a composite Z-pinch
Matematičeskoe modelirovanie, Tome 34 (2022) no. 9, pp. 21-36

Voir la notice de l'article provenant de la source Math-Net.Ru

A method for calculating the radiative energy transfer in the Schuster-Schwarzschild approximation, which is used for numerical simulation of the implosion of a composite shell-like Z-pinch under the action of the magnetic field of a high-current generator, is discussed. A significant part of the kinetic energy of the accelerated plasma shell, upon impact with the central insert, is converted into the energy of soft thermal X-ray radiation. The key element of the technique necessary for optimizing the conditions of the experiment on the conversion of the kinetic energy of the plasma shell into thermal radiation is the scheme for calculating radiant heat transfer in a medium with opacity that varies greatly in space and time. The numerical technique proposed for multiparameter computational experiments makes it possible to obtain the dependence of the radiation energy density in the form of a quadrature on the opacity coefficient and plasma emissivity. In the two-temperature model of magnetic plasma implosion, this determines the contribution of radiant heat transfer to the energy balance of the electronic component.
Keywords: mathematical model, current-carrying plasma, Z-pinch, energy transfer by radiation. 
@article{MM_2022_34_9_a1,
     author = {V. A. Gasilov and A. Yu. Krukovskiy},
     title = {On the calculation of radiative heat transfer in a composite {Z-pinch}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {21--36},
     publisher = {mathdoc},
     volume = {34},
     number = {9},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2022_34_9_a1/}
}
TY  - JOUR
AU  - V. A. Gasilov
AU  - A. Yu. Krukovskiy
TI  - On the calculation of radiative heat transfer in a composite Z-pinch
JO  - Matematičeskoe modelirovanie
PY  - 2022
SP  - 21
EP  - 36
VL  - 34
IS  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2022_34_9_a1/
LA  - ru
ID  - MM_2022_34_9_a1
ER  - 
%0 Journal Article
%A V. A. Gasilov
%A A. Yu. Krukovskiy
%T On the calculation of radiative heat transfer in a composite Z-pinch
%J Matematičeskoe modelirovanie
%D 2022
%P 21-36
%V 34
%N 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2022_34_9_a1/
%G ru
%F MM_2022_34_9_a1
V. A. Gasilov; A. Yu. Krukovskiy. On the calculation of radiative heat transfer in a composite Z-pinch. Matematičeskoe modelirovanie, Tome 34 (2022) no. 9, pp. 21-36. http://geodesic.mathdoc.fr/item/MM_2022_34_9_a1/