### Abstract

Viscous effects on centreline shock reflection in an axisymmetric flow are studied numerically using Navier-Stokes and direct simulation Monte Carlo solvers. Computations at low Reynolds numbers have resulted in a configuration consisting of two shock waves, in contrast to the inviscid theory. On the other hand, computations at high Reynolds numbers have yielded a three-shock configuration in qualitative agreement with the inviscid theory prediction. This behaviour is explained by the presence of the so-called non-Rankine-Hugoniot zone, which accounts for the deviation of the shock structure from the inviscid paradigm. At Reynolds numbers on the verge of the transition from a two-shock to three-shock configuration, extremely high pressure that would be unattainable with the classical Rankine-Hugoniot relation for any shock configuration may occur. An analogy to the Guderley singularity in cylindrical shock implosion has been deduced for the shock behaviour from a mathematical viewpoint.

Original language | English |
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Article number | 026105 |

Journal | Physics of Fluids |

Volume | 31 |

Issue number | 2 |

DOIs | |

Publication status | Published - Feb 1 2019 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics

### Cite this

*Physics of Fluids*,

*31*(2), [026105]. https://doi.org/10.1063/1.5085267

**Numerical study of viscous effects on centreline shock reflection in axisymmetric flow.** / Shoev, G.; Ogawa, Hideaki.

Research output: Contribution to journal › Article

*Physics of Fluids*, vol. 31, no. 2, 026105. https://doi.org/10.1063/1.5085267

}

TY - JOUR

T1 - Numerical study of viscous effects on centreline shock reflection in axisymmetric flow

AU - Shoev, G.

AU - Ogawa, Hideaki

PY - 2019/2/1

Y1 - 2019/2/1

N2 - Viscous effects on centreline shock reflection in an axisymmetric flow are studied numerically using Navier-Stokes and direct simulation Monte Carlo solvers. Computations at low Reynolds numbers have resulted in a configuration consisting of two shock waves, in contrast to the inviscid theory. On the other hand, computations at high Reynolds numbers have yielded a three-shock configuration in qualitative agreement with the inviscid theory prediction. This behaviour is explained by the presence of the so-called non-Rankine-Hugoniot zone, which accounts for the deviation of the shock structure from the inviscid paradigm. At Reynolds numbers on the verge of the transition from a two-shock to three-shock configuration, extremely high pressure that would be unattainable with the classical Rankine-Hugoniot relation for any shock configuration may occur. An analogy to the Guderley singularity in cylindrical shock implosion has been deduced for the shock behaviour from a mathematical viewpoint.

AB - Viscous effects on centreline shock reflection in an axisymmetric flow are studied numerically using Navier-Stokes and direct simulation Monte Carlo solvers. Computations at low Reynolds numbers have resulted in a configuration consisting of two shock waves, in contrast to the inviscid theory. On the other hand, computations at high Reynolds numbers have yielded a three-shock configuration in qualitative agreement with the inviscid theory prediction. This behaviour is explained by the presence of the so-called non-Rankine-Hugoniot zone, which accounts for the deviation of the shock structure from the inviscid paradigm. At Reynolds numbers on the verge of the transition from a two-shock to three-shock configuration, extremely high pressure that would be unattainable with the classical Rankine-Hugoniot relation for any shock configuration may occur. An analogy to the Guderley singularity in cylindrical shock implosion has been deduced for the shock behaviour from a mathematical viewpoint.

UR - http://www.scopus.com/inward/record.url?scp=85061659679&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061659679&partnerID=8YFLogxK

U2 - 10.1063/1.5085267

DO - 10.1063/1.5085267

M3 - Article

AN - SCOPUS:85061659679

VL - 31

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 2

M1 - 026105

ER -