Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions

Abstract

We study the phenomena of radiative-driven shock waves using a semi-analytic model based on self similar solutions of the radiative hydrodynamic problem. The relation between a hohlraum drive temperature and resulting ablative shock makes it as a well-know method for estimating the drive temperature. However, the different studies yield different scaling relations between T Rad and D S , based on different simulations. In [T. Shussman and S.I. Heizler, Phys. Plas., 22, 082109 (2015)] we derive full analytic solutions for the subsonic heat wave, that include both the ablation and the shock wave regions. Using this self-similar approach we derive here the T Rad (D S ) for aluminium, using the detailed Hugoniot relations and including transport effects. By our semianalytic model, we find a spread of ≈ 40eV in the T Rad (D S ) curve, as a function of the temperature profile's duration and its temporal profile. Our model agrees with the different experiments and the simulations data, explaining the difference between the different scaling relations that appear in the literature.