TY - JOUR

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

AU - Shoev, G.

AU - Ogawa, H.

N1 - Publisher Copyright: © 2019 Author(s).

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.

KW - MACH REFLECTION

KW - STATIONARY REFLECTION

KW - STEADY FLOWS

KW - TRANSITION

KW - WAVES

KW - SIMULATION

KW - VISCOSITY

KW - CONTINUUM

KW - PARADOX

KW - AXIS

UR - http://www.scopus.com/inward/record.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 -