Instability of cumulation in converging cylindrical shock wave

TL;DR

This paper derives conditions for the linear instability of converging cylindrical shock waves in inviscid media, highlighting how energy cumulation restrictions can lead to exponential growth of medium rotation behind the shock front, with validation against experiments and simulations.

Contribution

It provides a new theoretical condition for the linear instability of cylindrical shock waves and links it to energy cumulation effects observed in experiments and simulations.

Findings

Instability condition derived for cylindrical shock waves.

Energy cumulation can cause exponential growth of medium rotation.

Theoretical results align with experimental and simulation data.

Abstract

The condition of linear instability for a converging cylindrical shock wave in an arbitrary inviscid medium is obtained. The shape of resulting shock wave front is not changed significantly, but the restriction of energy cumulation can be caused by exponential grows of the medium rotation behind the front. The correspondence with experimental and simulation data is considered.