On the calculation of radiative heat transfer in a composite Z-pinch

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.