Volume 100, Number 2, October 2012
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||01 November 2012|
Compression of matter by hyperspherical shock waves
1 Institute of Laser Engineering, Osaka University - 2-6 Yamada-oka, Suita, Osaka 565-0871, Japan
2 ETSI Aeronauticos, Universidad Politecnica de Madrid - 3 Pza Cardenal Cisneros, Madrid 28040, Spain, EU
3 Engineering Department, Graduate School of Ehime University - 3 Bunkyocho, Ehime 790-8577, Japan
Received: 25 August 2012
Accepted: 1 October 2012
A novel compression scheme is proposed, in which hollow targets with specifically curved structures initially filled with uniform matter, are driven by converging shock waves. The self-similar dynamics is analyzed for converging and diverging shock waves. The shock-compressed densities and pressures are much higher than those achieved using spherical shocks due to the geometric accumulation. Dynamic behavior is demonstrated using two-dimensional hydrodynamic simulations. The linear stability analysis for the spherical geometry reveals a new dispersion relation with cut-off mode numbers as a function of the specific heat ratio, above which eigenmode perturbations are smeared out in the converging phase.
PACS: 47.40.Ki – Supersonic and hypersonic flows / 52.35.Tc – Shock waves and discontinuities
© EPLA, 2012
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