2020
DOI: 10.1007/s00193-020-00968-7
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Development of a new empirical formula for prediction of triple point path

Abstract: This paper develops a new empirical formula for the prediction of the triple point path in irregular shock reflection cases. Numerical simulations using a two-dimensional axisymmetric multi-material arbitrary Lagrangian–Eulerian formulation are employed to obtain the data of fluid density. Using the data of fluid density and nodal coordinates, the gradients of fluid density are determined and then used to generate numerical schlieren images. Based on these images, the triple point paths are derived and compare… Show more

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Cited by 12 publications
(4 citation statements)
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References 7 publications
(18 reference statements)
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“…Nevertheless, among the different models studied [12][13][14][15][16], only the model of Kinney and Graham [12] was considered relevant because it does not depend on the explosive charge mass, but only on the Mach number of the incident shock wave. In the literature, some models [22][23][24][25][26] suggest an approximation of the Mach stem evolution following an explosion above the ground. This configuration is also called height of burst (HOB).…”
Section: Quantitative Measurements By Visualizationmentioning
confidence: 99%
See 1 more Smart Citation
“…Nevertheless, among the different models studied [12][13][14][15][16], only the model of Kinney and Graham [12] was considered relevant because it does not depend on the explosive charge mass, but only on the Mach number of the incident shock wave. In the literature, some models [22][23][24][25][26] suggest an approximation of the Mach stem evolution following an explosion above the ground. This configuration is also called height of burst (HOB).…”
Section: Quantitative Measurements By Visualizationmentioning
confidence: 99%
“…Therefore, it is inappropriate to use models which depend on the explosive charge mass. Among the different models studied [22][23][24][25][26], only the model of Kinney and Graham [22] was considered relevant because it depends only on the Mach number of the incident shock wave. An illustration of the formation of the Mach stem in the case of an explosion above the ground, the HOB configuration, is given in Figure 16.…”
Section: Quantitative Measurements By Visualizationmentioning
confidence: 99%
“…As the wave travels along the circular surface, the regular reflection configuration persists until the interaction angle of the wave with the surface decreases and reaches a certain limit, leading to a Mach reflection. Such a configuration gives rise to a new composite shock front called a Mach shock, comprising the reflected, Mach, and incident waves intersecting at a point called the triple point (Xiao et al, 2020). As this wave progresses, at some point on the curved surface of the cylinder, the triple point separates and propagates further downstream.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Nach der Reflexion am Boden überlagern sich die einfallenden und reflektierten Wellen und der sog. Machstamm wird gebildet [2, 4, 5].…”
Section: Versuchsdurchführungunclassified