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Discrete self similarity in filled type I strong explosions

Yalinewich, Almong and Sari, Re'em (2013) Discrete self similarity in filled type I strong explosions. Physics of Fluids, 25 (12). Art. No. 126101. ISSN 1070-6631. doi:10.1063/1.4835375.

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We present new solutions to the strong explosion problem in a non power law density profile. The unperturbed self similar solutions developed by Sedov, Taylor, and Von Neumann describe strong Newtonian shocks propagating into a cold gas with a density profile falling off as r^(−ω), where ω≤^(7−γ)_(γ+1) (filled type I solutions), and γ is the adiabatic index of the gas. The perturbations we consider are spherically symmetric and log periodic with respect to the radius. While the unperturbed solutions are continuously self similar, the log periodicity of the density perturbations leads to a discrete self similarity of the perturbations, i.e., the solution repeats itself up to a scaling at discrete time intervals. We discuss these solutions and verify them against numerical integrations of the time dependent hydrodynamic equations. This is an extension of a previous investigation on type II solutions and helps clarifying boundary conditions for perturbations to type I self similar solutions.

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Sari, Re'em0000-0002-1084-3656
Additional Information:© 2013 American Institute of Physics Publishing LLC. Received 19 June 2013; accepted 14 November 2013; published online 4 December 2013.
Issue or Number:12
Record Number:CaltechAUTHORS:20140123-083236133
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Official Citation: Discrete self similarity in filled type I strong explosions Almog Yalinewich and Re'em Sari Phys. Fluids 25, 126101 (2013);
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43480
Deposited By: Ruth Sustaita
Deposited On:23 Jan 2014 17:20
Last Modified:10 Nov 2021 16:38

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