Analytical model for curved-shock Mach reflection

Author:

Shi ChongguangORCID,You YanchengORCID,Zheng Xiaogang,Zhu ChengxiangORCID

Abstract

Mach reflection (MR) is an essential component in the development of the shock theory, as the incident shock curvature is found to have a significant effect on the MR patterns. Curved-shock Mach reflection (CMR) is not yet adequately understood due to the rotational complexity behind curved shocks. Here, CMR in steady, planar/axisymmetric flows is analyzed to supplement the well-studied phenomena caused by oblique-shock Mach reflection (OMR). The solution from the von Neumann's three-shock theory does not fully describe the CMR case. A CMR structure is presented and characterized by an incident shock, reflected shock, Mach stem, and expansion/compression waves over the slipline or occasionally an absence of waves due to pressure equilibrium. On the basis of this CMR structure, an analytical model for predicting the Mach stem in the CMR case is established. The model reduces to the OMR case if the shock curvature is not applicable. Predictions of the Mach stem geometry and shock structure based on the model exhibit better agreement with the numerical results than predictions using previous models. It is found that the circumferential shock curvature plays a key role in the axisymmetric doubly curved CMR case, which results in a different outcome from the planar case.

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Project

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Reference27 articles.

1. Nuclear shock waves in heavy-ion collisions;Phys. Rev. Lett.,1974

2. Observation and control of shock waves in individual nanoplasmas;Phys. Rev. Lett.,2014

3. Shock-wave Mach-reflection slip-stream instability: A secondary small-scale turbulent mixing phenomenon;Phys. Rev. Lett.,2006

4. Uber den verlauf von funkenwellen in der ebene und im raume;Sitzungsbr. Akad. Wiss. Wien,1878

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