The influence of incident shock Mach number on radial incident shock wave focusing

Liming He,Kang Rong,Xin Chen,Sheng Tan,Qiang Zhang,Xiaobin Zhu

doi:10.1063/1.4947191

Liming He, Kang Rong + Show 4 more

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https://doi.org/10.1063/1.4947191

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Abstract

Experiments and numerical simulations were carried out to investigate radial incident shock focusing on a test section where the planar incident shock wave was divided into two identical ones. A conventional shock tube was used to generate the planar shock. Incident shock Mach number of 1.51, 1.84 and 2.18 were tested. CCD camera was used to obtain the schlieren photos of the flow field. Third-order, three step strong-stability-preserving (SSP) Runge-Kutta method, third-order weighed essential non-oscillation (WENO) scheme and adaptive mesh refinement (AMR) algorithm were adopted to simulate the complicated flow fields characterized by shock wave interaction. Good agreement between experimental and numerical results was observed. Complex shock wave configurations and interactions (such as shock reflection, shock-vortex interaction and shock focusing) were observed in both the experiments and numerical results. Some new features were observed and discussed. The differences of structure of flow field and the variation trends of pressure were compared and analyzed under the condition of different Mach numbers while shock wave focusing.

Highlights

During the process of shock wave focus, shock waves with different reflection structures and the interconversions among them could be observed
Experiments and numerical simulations were carried out to investigate radial incident shock focusing on a test section where the planar incident shock wave was divided into two identical ones
Thirdorder, three step strong-stability-preserving (SSP) Runge-Kutta method, third-order weighed essential non-oscillation (WENO) scheme and adaptive mesh refinement (AMR) algorithm were adopted to simulate the complicated flow fields characterized by shock wave interaction

Summary

Introduction

During the process of shock wave focus, shock waves with different reflection structures and the interconversions among them could be observed. Sturtevant and Kulkarny[1] conducted theoretical analysis and performed experiments on the reflect process of weak shock wave on the concave wall. Kishige et al.[2] investigated the axial incident planar shock wave focus after reflecting from the symmetric parabolic wall experimentally, and they verified that shock wave focusing could lead to high temperature. Izumi et al.[3] performed experimental and numerical studies on the field which were produced by incident shock focus with different strength in different types of parabolic cavity. According to the focus location and form of the reflection shock wave before and after focusing, the process of shock wave focusing was divided into three types. Babinsky et al.[4] investigated the influences of the concave wall bluntness on shock wave focusing by axial incident planar shock. Kowalczyk et al.[6] made numerical simulation about the planar shock focus process in the cavity with the inert gases

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