Viscous Effects in Steady Reflection of Strong Shock Waves

Khotyanovsky, D. V.; Bondar, Ye. A.; Kudryavtsev, A. N.; Shoev, Georgy; Иванов, М. С.

doi:10.2514/1.40539

Cited by 19 publications

(27 citation statements)

References 10 publications

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“…The types of the irregular triple-shock configurations obtained in computations of steady axisymmetric flows with a Mach disk in the present work are the same as those investigated by Ivanov et al [15] and Khotyanovsky et al [16], who studied the reflection of wedge-generated shock waves with the formation of the Mach stem in steady twodimensional supersonic flows. The reflection problems were solved numerically with the Navier-Stokes solver and compared with the results computed by the direct simulation Monte Carlo method.…”

Section: Computed Flow Patterns In Convergent Conical Ductssupporting

confidence: 68%

“…It was found that the transition of flow parameters from the state behind the Mach disk to the state behind the reflected shock wave, with increase in the transverse coordinate, does not occur in a jump described by the Rankine-Hugoniot relations; instead, it occurs continuously with deviation from the strong branch of the incident shock. The results gained in [16] testify to the convergence of the numerical solution predicted by the Navier-Stokes code to the theoretical triple-shock Mach configuration. In [15], irregular reflection of the oblique shock wave was considered under the conditions of the von Neumann paradox at M = 1.7, γ = 5/3, θ w = 12 • and 13.5 • .…”

Section: Computed Flow Patterns In Convergent Conical Ductsmentioning

confidence: 95%

“…A general approach to a problem is based on works [15,16] where the problems of the three-shock interaction in the cases of irregular reflections of strong and weak shock waves in the 2D flows were solved numerically with the use of Navier-Stokes equations in comparison to the direct simulation Monte Carlo method. Convergence of the numerical solution of the Navier-Stokes equations was analyzed as the Reynolds number increased from Re L ∼ 10 3 to Re L ∼ 10 9 where the reference length L pertains to the wedge generating the incident shock.…”

Section: Numerical Technique and Flow Conditionsmentioning

confidence: 99%

“…The reflection problems were solved numerically with the Navier-Stokes solver and compared with the results computed by the direct simulation Monte Carlo method. In [16], irregular reflection of strong shock waves was considered at M = 4, γ = 5/3, and θ w = 25 • in the case where the single triple-shock Mach configuration occurred. It was found that the transition of flow parameters from the state behind the Mach disk to the state behind the reflected shock wave, with increase in the transverse coordinate, does not occur in a jump described by the Rankine-Hugoniot relations; instead, it occurs continuously with deviation from the strong branch of the incident shock.…”

Section: Computed Flow Patterns In Convergent Conical Ductsmentioning

confidence: 99%

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Patterns of steady axisymmetric supersonic compression flows with a Mach disk

Gounko

2016

Shock Waves

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Results of a numerical simulation of steady axisymmetric supersonic flows in convergent conical ducts and in overexpanded jets are presented. The characteristic feature of these compression flows is the formation of an initial longitudinally curved shock wave with intensity increasing downstream and toward the flow axis, which is finalized by the generation of a central Mach disk. Computations have demonstrated patterns of an irregular interaction of these shocks followed by the formation of a triple-shock configuration, including a reflected shock and a shear layer with entropy varying across the layer. The formation of triple-shock configurations is analogous to the configurations known for the steady inviscid two-dimensional flows where the irregular reflection of a wedge-generated shock from a wall with Mach stem formation occurs. Either a single triple-shock Mach configuration occurs or a triple-shock configuration corresponding to the von Neumann paradox condition is formed at the considered flow Mach numbers and initial angles of deflection to the axis of the flow behind the longitudinally curved shock wave.

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Section: Computed Flow Patterns In Convergent Conical Ductssupporting

confidence: 68%

Section: Computed Flow Patterns In Convergent Conical Ductsmentioning

confidence: 95%

Section: Numerical Technique and Flow Conditionsmentioning

confidence: 99%

Section: Computed Flow Patterns In Convergent Conical Ductsmentioning

confidence: 99%

See 2 more Smart Citations

Patterns of steady axisymmetric supersonic compression flows with a Mach disk

Gounko

2016

Shock Waves

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show abstract

“…The inviscid computations [18,19,20] support the Guderley model; however, the viscous numerical [21,22] and analytical [23] solutions do not show any four-wave configurations, supporting the Sternberg model. These viscous effects caused interest to shock reflection in viscous flows at higher Mach numbers [24,25]. A non-Rankine-Hugoniot zone has also been found in this range of parameters showing a deviation from the inviscid three-shock solution due to the additional (viscous) scale.…”

Section: Introductionmentioning

confidence: 90%