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

G. Shoev, Hideaki Ogawa

Research output: Contribution to journalArticle

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 languageEnglish
Article number026105
JournalPhysics of Fluids
Volume31
Issue number2
DOIs
Publication statusPublished - Feb 1 2019
Externally publishedYes

Fingerprint

axisymmetric flow
shock
configurations
Rankine-Hugoniot relation
implosions
high Reynolds number
low Reynolds number
shock waves
Reynolds number
deviation

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

Cite this

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

In: Physics of Fluids, Vol. 31, No. 2, 026105, 01.02.2019.

Research output: Contribution to journalArticle

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