Study of regular reflection shock waves using a mesoscopic kinetic approach: Curvature pattern and effects of viscosity

2020 ◽  
Vol 32 (10) ◽  
pp. 106106
Author(s):  
Ruofan Qiu ◽  
Yue Bao ◽  
Tao Zhou ◽  
Huanhuan Che ◽  
Rongqian Chen ◽  
...  
Keyword(s):  
Shock Waves ◽  
Kinetic Approach ◽  
Regular Reflection

scholarly journals Interaction between Shock Waves Travelling in the Same Direction

Fluids ◽  
2021 ◽  
Vol 6 (9) ◽  
pp. 315
Author(s):  
Pavel Bulat ◽  
Konstantin Volkov ◽  
Igor Volobuev
Keyword(s):  
Shock Waves ◽  
Contact Discontinuity ◽  
Jet Engines ◽  
Mach Stem ◽  
Regular Reflection ◽  
Reflected Shock ◽  
Different Types ◽  
Irregular Reflection

In this paper, we study the intersection (interaction) between several steady shocks traveling in the same direction. The interaction between overtaking shocks may be regular or irregular. In the case of regular reflection, the intersection of overtaking shocks leads to the formation of a resulting shock, contact discontinuity, and some reflected discontinuities. The type of discontinuity depends on the parameters of incoming shocks. At the irregular reflection, a Mach shock forms between incoming overtaking shocks. Reflected discontinuities come from the points of intersection of the Mach stem with the incoming shocks. We also consider the possible types of shockwave configurations that form both at regular and irregular interactions of several overtaking shocks. The regions of existence of overtaking shock waves with different types of reflected shock and the intensity of reflected shocks are defined. The results obtained in the study can potentially be useful for designing supersonic intakes and advanced jet engines.

Downstream flow condition effects on the RR → MR transition of asymmetric shock waves in steady flows

2009 ◽  
Vol 620 ◽  
pp. 43-62 ◽  
Author(s):  
Z. M. HU ◽  
R. S. MYONG ◽  
M. S. KIM ◽  
T. H. CHO
Keyword(s):  
Shock Waves ◽  
Mach Reflection ◽  
Flow Structures ◽  
Steady Flows ◽  
Regular Reflection ◽  
Double Wedge ◽  
Asymmetric Reflection ◽  
Asymmetric Shock ◽  
Downstream Flow ◽  
Good Agreement

In this paper, the regular reflection (RR) to Mach reflection (MR) transition of asymmetric shock waves is theoretically studied by employing the classical two- and three-shock theories. Computations are conducted to evaluate the effects of expansion fans, which are inherent flow structures in asymmetric reflection of shock waves, on the RR → MR transition. Comparison shows good agreement among the theoretical, numerical and experimental results. Some discrepancies between experiment and theory reported in previous studies are also explained based on the present theoretical analysis. The advanced RR → MR transition triggered by a transverse wave is also discussed for the interaction of a hypersonic flow and a double-wedge-like geometry.

scholarly journals Modelling of shock waves in fcc and bcc metals using a combined continuum and dislocation kinetic approach

2018 ◽  
Vol 105 ◽  
pp. 211-224 ◽  
Author(s):  
Nenad Djordjevic ◽  
Rade Vignjevic ◽  
Lewis Kiely ◽  
Simon Case ◽  
Tom De Vuyst ◽  
...  
Keyword(s):  
Shock Waves ◽  
Kinetic Approach ◽  
Bcc Metals

Transition from regular to Mach reflection of shock waves Part 1. The effect of viscosity in the pseudosteady case

1982 ◽  
Vol 123 ◽  
pp. 143-153 ◽  
Author(s):  
H. G. Hornung ◽  
J. R. Taylor
Keyword(s):  
Reynolds Number ◽  
Shock Waves ◽  
Experimental Method ◽  
Excellent Agreement ◽  
Mach Reflection ◽  
Regular Reflection ◽  
Transition Condition ◽  
Observed Behaviour

It is demonstrated experimentally that the influence of viscosity on the transition condition in pseudosteady flow is very significant. A mechanism is proposed for this effect, which explains the features of the observed behaviour. In particular, an experimental method of finding the inviscid transition condition, by extrapolation to infinite Reynolds number, gives excellent agreement with the calcwlatcd inviscid sonic criterion. It is thought that this provides the explanation for the usual persistence of regular reflection beyond the sonic: condition.

Regular reflection of a shock waves in model tests with shadow method

2018 ◽  
Vol 10 (5) ◽  
pp. 160-171
Author(s):  
S.I. Gerasimov ◽  
A.V. Zubankov ◽  
V.А. Kikeev ◽  
Y.U. Smirnov ◽  
N.А. Trepalov ◽  
...  
Keyword(s):  
Shock Waves ◽  
Model Tests ◽  
Regular Reflection ◽  
Shadow Method

Nonlinear reflection of grazing acoustic shock waves: unsteady transition from von Neumann to Mach to Snell–Descartes reflections

2007 ◽  
Vol 575 ◽  
pp. 27-55 ◽  
Author(s):  
SAMBANDAM BASKAR ◽  
FRANÇOIS COULOUVRAT ◽  
RÉEGIS MARCHIANO
Keyword(s):  
Mach Number ◽  
Shock Waves ◽  
Critical Parameter ◽  
Incidence Angle ◽  
Incident Shock ◽  
Shock Propagation ◽  
Regular Reflection ◽  
Von Neumann ◽  
Reflected Shock ◽  
Neumann Type

We study the reflection of acoustic shock waves grazing at a small angle over a rigid surface. Depending on the incidence angle and the Mach number, the reflection patterns are mainly categorized into two types, namely regular reflection and irregular reflection. In the present work, using the nonlinear KZ equation, this reflection problem is investigated for extremely weak shocks as encountered in acoustics. A critical parameter, defined as the ratio of the sine of the incidence angle and the square root of the acoustic Mach number, is introduced in a natural way. For step shocks, we recover the self-similar (pseudo-steady) nature of the reflection, which is well known from von Neumann's work. Four types of reflection as a function of the critical parameter can be categorized. Thus, we describe the continuous but nonlinear and non-monotonic transition from linear reflection (according to the Snell–Descartes laws) to the weak von-Neumann-type reflection observed for almost perfectly grazing incidence. This last regime is a new, one-shock regime, in contrast with the other, already known, two-shock (regular reflection) or three-shock (von Neumann-type reflection) regimes. Hence, the transition also resolves another paradox on acoustic shock waves addressed by von Neumann in his classical paper. However, step shocks are quite unrealistic in acoustics. Therefore, we investigate the generalization of this transition for N-waves or periodic sawtooth waves, which are more appropriate for acoustics. Our results show an unsteady reflection effect necessarily associated with the energy decay of the incident wave. This effect is the counterpart of step-shock propagation over a concave surface. For a given value of the critical parameter, all the patterns categorized for the step shock may successively appear when the shock is propagating along the surface, starting from weak von-Neumann-type reflection, then gradually turning to von Neumann reflection and finally evolving into nonlinear regular reflection. This last one will asymptotically result in linear regular reflection (Snell–Descartes). The transition back to regular reflection is one of two types, depending on whether a secondary reflected shock is observed. The latter case, here described for the first time, appears to be related to the non-constant state behind the incident shock, which prevents secondary reflection.

The reflection of asymmetric shock waves in steady flows: a numerical investigation

2002 ◽  
Vol 469 ◽  
pp. 71-87 ◽  
Author(s):  
M. S. IVANOV ◽  
G. BEN-DOR ◽  
T. ELPERIN ◽  
A. N. KUDRYAVTSEV ◽  
D. V. KHOTYANOVSKY
Keyword(s):  
Numerical Simulation ◽  
Experimental Investigation ◽  
Shock Waves ◽  
Numerical Investigation ◽  
Theoretical Study ◽  
Mach Reflection ◽  
Hysteresis Phenomenon ◽  
Steady Flows ◽  
Regular Reflection ◽  
Asymmetric Shock

The theoretical study and experimental investigation of the reflection of asymmetric shock waves in steady flows reported by Li et al. (1999) are complemented by a numerical simulation. All the findings reported in both the theoretical study and the experimental investigation were also evident in the numerical simulation. In addition to weak regular reflection and Mach reflection wave configurations, strong regular reflection and inverse-Mach reflection wave configurations were recorded numerically. The hysteresis phenomenon, which was hypothesized in the course of the theoretical study and then verified in the experimental investigation, was also observed in the numerical simulation.

Sign in / Sign up

Export Citation Format

Share Document