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In a recent publication Hornung (2019) showed that the shock wave stand-off distance and the drag coefficient of a cone in inviscid hypersonic flow of a perfect gas can be expressed as the product of a function of the inverse normal-shock…

Fluid Dynamics · Physics 2019-06-18 H. G. Hornung

We are concerned with rigorous mathematical analysis of shock diffraction by two-dimensional convex cornered wedges in compressible fluid flow governed by the nonlinear wave system. This shock diffraction problem can be formulated as a…

Analysis of PDEs · Mathematics 2015-06-04 Gui-Qiang G. Chen , Xuemei Deng , Wei Xiang

We consider the compressible flow around triangular wedges in which oblique shock waves are formed. We report on the novel analytic solution regarding the evaluation of the maximum wedge angle beyond which the shock wave detaches from the…

Fluid Dynamics · Physics 2018-02-14 Hady K. Joumaa

Streamline tracing in conical hypersonic flows is essential for designing high-performance waverider and intake. Conventionally, the streamline equations are solved after obtaining the velocity field from the solution of the axisymmetric…

Fluid Dynamics · Physics 2024-03-20 Anagha G Rao , Umesh Siddarth U S , Srisha M V Rao

The phenomena of self-sustained shock wave oscillations over conical bodies with a blunt axisymmetric base subject to uniform high-speed flow are investigated in a hypersonic wind tunnel at Mach number $M = 6$. The flow and shock wave…

Fluid Dynamics · Physics 2022-06-07 Vaisakh Sasidharan , Subrahmanyam Duvvuri

Analyzing measurements of the LOPES antenna array together with corresponding CoREAS simulations for more than 300 measured events with energy above $10^{17}\,$eV and zenith angles smaller than $45^\circ$, we find that the radio wavefront…

When a waverider flies at hypersonic speed, the thermodynamic properties of the surrounding gas change because of the rapid increase in temperature, so it is reasonable to consider real-gas effects in the vehicle design. In addition, a…

Fluid Dynamics · Physics 2024-12-11 Mengyu Wang , Yi Duan , Qin Li , Luying Lin , Chuan Tian

The commonly applied self-similar solution of the problem of the converging shock wave (shock) evolution with constant compression of the medium behind the shock front results in an unlimited increase of the medium velocity in the vicinity…

Fluid Dynamics · Physics 2022-02-15 Sergey G. Chefranov , Yakov E. Krasik , Alexander Rososhek

We investigate the hypersonic limit for steady, uniform, and compressible polytropic gas passing a symmetric straight cone. By considering Radon measure solutions, we show that as the Mach number of the upstream flow tends to infinity, the…

Analysis of PDEs · Mathematics 2024-04-17 Qianfeng Li , Aifang Qu , Xueying Su , Hairong Yuan

By considering the advection and interaction of the vector momentum flux in highly supersonic spherically diverging winds, we derive a simple analytic description of the asymptotic opening angle of a wind-collision shock cone, in the…

Solar and Stellar Astrophysics · Physics 2009-09-28 K. G. Gayley

The flow field with a Mach number larger than 5 is named hypersonic flow. In this paper, we explore the existence of smooth flow field after shock for hypersonic potential flow past a curved smooth wedge with neither smallness assumption on…

Analysis of PDEs · Mathematics 2025-04-30 Dian Hu , Aifang Qu

Brenner has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range. These modifications relate to a diffusion of fluid volume…

Fluid Dynamics · Physics 2009-11-13 Christopher J. Greenshields , Jason M. Reese

The formation and propagation of high-density compression waves, e.g. Mach shock waves, in cold nuclear matter is studied by simulating high-energy nucleus-nucleus collisions of Ne with U in the energy range from E_lab = 0.5 AGeV to 20…

Nuclear Theory · Physics 2010-03-08 Philip Rau , Jan Steinheimer , Barbara Betz , Hannah Petersen , Marcus Bleicher , Horst Stöcker

We study the V-shaped wake (Mach cone) formed by a cylindrical rod moving through a thin, vertically vibrated granular layer. The wake, analogous to a shock (hydraulic jump) in shallow water, appears for rod velocities v_R greater than a…

Soft Condensed Matter · Physics 2009-11-10 Patrick Heil , E. C. Rericha , Daniel I. Goldman , Harry L. Swinney

Spherical or cylindrical convergent shock waves in imploding materials are one of the most effective ways to produce extremely high pressures, densities and temperatures, hardly attainable in plane shock waves generated by chemical high…

Fluid Dynamics · Physics 2019-06-20 Dalton Ellery Girão Barroso

Direct numerical simulation of the Navier-Stokes equations is carried out to investigate the interaction of a conical shock wave with a turbulent boundary layer developing over a flat plate at free-stream Mach number $M_\infty = 2.05$ and…

Fluid Dynamics · Physics 2019-10-02 Feng-Yuan Zuo , Antonio Memmolo , Guo-ping Huang , Sergio Pirozzoli

We investigate the mechanism of whistler-mode wave generation by shock-reflected electrons at quasi-perpendicular collisionless shocks. By employing Liouville mapping to construct the electron velocity distribution function in the shock and…

Plasma Physics · Physics 2026-03-20 Ruolin Wang , Takanobu Amano

We discuss the circumstances under which the bending of a jet can generate an internal shock wave. The analysis is carried out for relativistic and non-relativistic astrophysical jets. The calculations are done by the method of…

Astrophysics · Physics 2009-11-07 S. Mendoza , M. S. Longair

An oscillating body floating at the water surface produces a wave-field of self-generated waves. When the oscillation induces a difference in fore-aft wave amplitude squared, these self-generated waves can be used as a mechanism to propel…

Fluid Dynamics · Physics 2025-06-16 D. O'Donovan , M. D. Bustamante , O. Devauchelle , G. P. Benham

Numerical simulation and analysis are carried out on interactions between a 2D/3D conical shock wave and an axisymmetric boundary layer with reference to the experiment by Kussoy et al., in which the shock was generated by a 15-deg…

Fluid Dynamics · Physics 2023-03-27 Yihui Weng , Qin Li , Guozhuo Tan , Wei Su , Yancheng You
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