Revisiting the strong shock problem: Converging and diverging shocks in different geometries

Elisha Modelevsky*, Re'em Sari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Self-similar solutions to converging (implosions) and diverging (explosions) shocks have been studied before, in planar, cylindrical, or spherical symmetry. Here, we offer a unified treatment of these apparently disconnected problems. We study the flow of an ideal gas with adiabatic index γ with initial density containing a strong shock wave. We characterize the self-similar solutions in the entirety of the parameter space ω and draw the connections between the different geometries. We find that only type II self-similar solutions are valid in converging shocks, and that in some cases, a converging shock might not create a reflected shock after its convergence. Finally, we derive analytical approximations for the similarity exponent in the entirety of parameter space.

Original languageAmerican English
Article number056105
JournalPhysics of Fluids
Volume33
Issue number5
DOIs
StatePublished - 1 May 2021

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© 2021 Author(s).

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