Engineering approach to the prediction of shock patterns in bounded high-speed flows

Azevedo, David; Liu, Ching Shi

doi:10.2514/3.11322

Cited by 70 publications

(45 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This evolution of the Mach stem height in a frozen flow is compared with the existing analytical 1D models of Azevedo and Liu (1993) and Li and Ben-Dor (1997), as also shown in Fig. 4.…”

Section: Resultsmentioning

confidence: 99%

“…For the same wedge angle and when the MR wave configuration exists, this length is smaller when the nonequilibrium flow assumption is included in the air-flow modeling. A comparison of the analytical predictions of Azevedo and Liu (1993) and Li and Ben-Dor (1997), indicates the extent of the oversimplifying assumptions used by Azevedo and Liu regarding the location of the throat in the quasi one-dimensional converging nozzle behind the Mach stem. This oversimplification was less pronounced when the heights of the Mach stem were calculated (see Fig.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Steady shock wave reflections in thermochemical nonequilibrium flows

2001

View full text Add to dashboard Cite

The shock wave reflection phenomena in hypersonic steady air flows, including thermochemical nonequilibrium effects, are investigated. The main objectives are to study the influence of these effects on the two shock wave reflections (regular and Mach reflections), on the Mach stem height and on the hysteresis behavior. The air computations are performed using a multi-block MUSCL-TVD finite-volume scheme. The computational results with and without thermochemical effects in the air mixture flow at an upstream Mach number equal to 7 are compared. The comparison reveals a strong dependence of the transition angles, of the height and location of the Mach stem on the physical modeling of the gas flow.

show abstract

“…This evolution of the Mach stem height in a frozen flow is compared with the existing analytical 1D models of Azevedo and Liu (1993) and Li and Ben-Dor (1997), as also shown in Fig. 4.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Steady shock wave reflections in thermochemical nonequilibrium flows

2001

View full text Add to dashboard Cite

show abstract

“…The analogous supposition is accepted in the analysis of flow in the plane narrowing channel between two wedges (Fig. 1b) [4,5].…”

Section: Introductionmentioning

confidence: 88%

The interaction of a Prandtl–Meyer wave and a quasi-one-dimensional flow region

Silnikov

Чернышов

2015

Acta Astronautica

View full text Add to dashboard Cite

“…They pointed out that Mach stems can be expressed in the general form as a function of specific heat capacity ratio, incoming flow Mach number, reflecting wedge angle, and exit cross-sectional area given trailing edge and wedge length. A physical model for predicting the height of 2D Mach stems was suggested by Azevedo and Liu (1993) [10]. However, Li and Ben-Dor [11] raised some doubts about Azevedo's model.…”

Section: Introductionmentioning

confidence: 99%

“…At the beginning, a Mach stem was considered a shock wave of small curvature or a normal wave because there was not good understanding of its shape [10]. A study by Dewey and McMillin [12] conducted a series of experiments on the shape of Mach stems.…”

Section: Introductionmentioning

confidence: 99%

Study on Mach stems induced by interaction of planar shock waves on two intersecting wedges

et al. 2015

View full text Add to dashboard Cite

The properties of Mach stems in hypersonic corner flow induced by Mach interaction over 3D intersecting wedges were studied theoretically and numerically. A new method called "spatial dimension reduction" was used to analyze theoretically the location and Mach number behind Mach stems. By using this approach, the problem of 3D steady shock/shock interaction over 3D intersecting wedges was transformed into a 2D moving one on cross sections, which can be solved by shock-polar theory and shock dynamics theory. The properties of Mach interaction over 3D intersecting wedges can be analyzed with the new method, including pressure, temperature, density in the vicinity of triple points, location, and Mach number behind Mach stems. Theoretical results were compared with numerical results, and good agreement was obtained. Also, the influence of Mach number and wedge angle on the properties of a 3D Mach stem was studied.

show abstract

Engineering approach to the prediction of shock patterns in bounded high-speed flows

Cited by 70 publications

References 11 publications

Steady shock wave reflections in thermochemical nonequilibrium flows

Steady shock wave reflections in thermochemical nonequilibrium flows

The interaction of a Prandtl–Meyer wave and a quasi-one-dimensional flow region

Study on Mach stems induced by interaction of planar shock waves on two intersecting wedges

Contact Info

Product

Resources

About