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Article Dans Une Revue Physics of Plasmas Année : 2023

Analytical study of ionizing blast waves in atomic hydrogen

Résumé

The ionization effect on both the evolution and internal structure of a blast wave (BW) is determined in laboratory conditions. In a first step, the Rankine–Hugoniot equations describing the structure of the shock front together with the Saha equation modeling ionization are solved analytically in a consistent way for the conditions of a cold initial atomic hydrogen gas. In a second step, a simplified approach is used by introducing an effective adiabatic index γ* that takes into account ionization arising at the shock front. Finally, γ* is used as input data in the self-similar model derived formerly by Barenblatt to describe the structure and the dynamics of the ionizing BW. For the typical laboratory conditions of blast wave experiments, ionization achieves a hydrogen gas compression up to about 11 times at the shock front of the blast wave where a thin and dense shell forms. For such a compression, the value of the effective adiabatic index is γ*≃1.2 leading to a self-similar evolution of the BW where its radius R(t) varies according to R(t)∝tα* with α*≃0.33. This value of α* is lower than the adiabatic expansion stage α=2/5, where the total energy of the BW is conserved. Thus, ionization is found to act as a cooling effect at the shock front where a fraction of kinetic energy is absorbed to ionize the gas.
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Dates et versions

hal-04309040 , version 1 (12-12-2023)

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A. Gintrand, S. Bouquet, Claire Michaut. Analytical study of ionizing blast waves in atomic hydrogen. Physics of Plasmas, 2023, Physics of Plasmas, 30 (4), pp.042111. ⟨10.1063/5.0133470⟩. ⟨hal-04309040⟩
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