Mechanism of hysteresis in shock wave reflection

Yan-Chao Hu (胡延超), Wen-Feng Zhou (周文丰), Zhi-Gong Tang (唐志共), Yan-Guang Yang (杨彦广), and Zhao-Hu Qin (秦兆虎)
Phys. Rev. E 103, 023103 – Published 8 February 2021

Abstract

This paper reports on the mechanism of the hysteresis in the transition between regular and Mach shock wave reflections. We disclose that, for a given inflow Mach number, a stable reflection configuration should maintain the minimal dissipation. As the wedge angle varies, the set of the minimal dissipation points forms the valley lines in the dissipation landscape, and these valley lines compose the hysteresis loop. The saddle-nodes, intersections of the ridge line, and the valley lines are actually the transition points. Additionally, the predicted reflection configurations agree well with the experimental and numerical results, validating this theory.

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  • Received 10 June 2020
  • Accepted 9 January 2021

DOI:https://doi.org/10.1103/PhysRevE.103.023103

©2021 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Yan-Chao Hu (胡延超)1, Wen-Feng Zhou (周文丰)1,2, Zhi-Gong Tang (唐志共)3,*, Yan-Guang Yang (杨彦广)3,†, and Zhao-Hu Qin (秦兆虎)2

  • 1Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Centre, Mianyang 621000, China
  • 2State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China
  • 3China Aerodynamics Research and Development Centre, Mianyang 621000, China

  • *tangzhigong@126.com
  • yangyanguang@cardc.cn

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Issue

Vol. 103, Iss. 2 — February 2021

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