Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (6): 1071-1084.doi: https://doi.org/10.1007/s10483-024-3120-7

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Strong shock propagation for the finite-source circular blast in a confined domain

Qihang MA1, Kaileong CHONG1,2, Bofu WANG1,*(), Quan ZHOU1   

  1. 1Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China
    2Shanghai Institute of Aircraft Mechanics and Control, Shanghai 200092, China
  • Received:2024-01-06 Online:2024-06-03 Published:2024-06-01
  • Contact: Bofu WANG E-mail:bofuwang@shu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China(11988102);the National Natural Science Foundation of China(92052201);the National Natural Science Foundation of China(11825204);the National Natural Science Foundation of China(12032016);the National Natural Science Foundation of China(12372220);the National Natural Science Foundation of China(12372219);Project supported by the National Natural Science Foundation of China (Nos. 11988102, 92052201, 11825204, 12032016, 12372220, and 12372219)

Abstract:

The circular explosion wave produced by the abrupt discharge of gas from a high-temperature heat source serves as a crucial model for addressing explosion phenomena in compressible flow. The reflection of the primary shock and its propagation within a confined domain are studied both theoretically and numerically in this research. Under the assumption of strong shock, the scaling law governing propagation of the main shock is proposed. The dimensionless frequency of reflected shock propagation is associated with the confined distance. The numerical simulation for the circular explosion problem in a confined domain is performed for validation. Under the influence of confinement, the principal shock wave systematically undergoes reflection within the domain until it weakens, leading to the non-monotonic attenuation of kinetic energy in the explosion fireball and periodic oscillations of the fireball volume with a certain frequency. The simulation results indicate that the frequency of kinetic energy attenuation and the volume oscillation of the explosive fireball align consistently with the scaling law.

Key words: explosion, confinement, main shock, frequency

2010 MSC Number: 

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