Abstract
This paper describes investigations of the interaction between bow shock waves generated by cylindrical bodies in a supersonic flow. Numerical simulations are performed using the inviscid Euler equations for cylinders whose axes are parallel to each other and normal to the flow direction. Mostly an infinite periodical cylinder array is considered, but the case of two cylinders is also briefly discussed. Three different regimes of the shock wave interaction, a regular interaction, a Mach interaction, and a choked flow, have been observed for the flow through the periodical cylinder array. In the case of the flow around two bodies, the choked flow is replaced by a regime with a collective bow shock. The transition between different flow regimes is studied by varying the inflow Mach number or the distance between the cylinders. A hysteretic behavior at the transition between the regular and Mach interactions has been observed. The transition is governed by the theoretical detachment and von Neumann criteria based on the local shock wave inclination at the interaction point.
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Communicated by K. Takayama.
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Kudryavtsev, A.N., Epstein, D.B. Hysteresis phenomenon at interaction of shock waves generated by a cylinder array. Shock Waves 22, 341–349 (2012). https://doi.org/10.1007/s00193-012-0371-1
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DOI: https://doi.org/10.1007/s00193-012-0371-1