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The design of supersonic and hypersonic air-breathing vehicles is influenced by the transition between the Mach Reflection (MR) and Regular Reflection (RR) phenomena. The purpose of this study is to investigate the dynamic transition of…

Fluid Dynamics · Physics 2023-03-01 Lubna Margha , Ahmed A. Hamada , Ahmed Eltaweel

Regular reflection (RR) to Mach reflection(MR) transitions (RR-MR) on long wedges in steady supersonic flows have been well studied and documented. However, in a short wedge where the wedge length is small, the transition prediction becomes…

Fluid Dynamics · Physics 2023-07-10 Vinod Yeldho Baby , Vinoth Paramanantham , G Rajesh

The intakes of air-breathing high-speed flying vehicles produce a large share of the thrust propulsion. Furthermore, the propulsion performance of these engines increases when the single-ramp intake is replaced with a multiple-ramps intake.…

Fluid Dynamics · Physics 2023-03-01 Lubna Margha , Ahmed A. Hamada , Othman Ahmed , Ahmed Eltaweel

This study experimentally investigates the internal aerodynamics of transverse liquid injection in a supersonic crossflow (Mach (M) = 2.1) using two configurations: single and tandem (8 mm spacing) at three injection mass flow rates.…

Fluid Dynamics · Physics 2025-02-14 Srinivas M V , Arun Kumar Rajagopal , Lebonah B , Jegesh David M

In the context of the interaction between a moving plane shock wave and an inclined wall (wedge), it is possible to distinguish four distinct shock reflection configurations. These shock wave reflections, which depend on the characteristics…

Fluid Dynamics · Physics 2023-09-13 Sebastian Valencia , Cesar Celis , Andres Mendiburu , Luis Bravo , Prashant Khare

In this paper, we examine the significance of the lower geometric limit, defined as the trailing-edge height at which the reflected shock grazes the trailing edge, for both regular reflection (RR) and Mach reflection (MR). We show that this…

Fluid Dynamics · Physics 2025-11-04 Xue-Ying Wang , Zi-Niu Wu

A combined analytical and numerical study is conducted to investigate the asymmetric cap-shock non-uniform Mach Reflection (csMR) phenomenon outside of an over-expanded supersonic jet. Prior analytical works have only considered the…

Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution…

Mathematical Physics · Physics 2007-10-02 Volker Elling

When a plane shock hits a two-dimensional wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The experimental, computational,…

Analysis of PDEs · Mathematics 2019-10-08 Gui-Qiang G. Chen , Mikhail Feldman , Wei Xiang

Special features of magnetohydrodynamic waves linear dynamics in smooth shear flows are studied. Quantitative asymptotic and numerical analysis are performed for wide range of system parameters when basic flow has constant shear of velocity…

Astrophysics · Physics 2016-08-30 G. Gogoberidze , G. D. Chagelishvili , R. Z. Sagdeev , D. G. Lominadze

The present study addresses the self-similar problem of unsteady shock reflection on an inclined wedge. The start-up conditions are studied by modifying the wedge corner and allowing for a finite radius of curvature. It is found that the…

Fluid Dynamics · Physics 2020-06-09 S. She-Ming Lau-Chapdelaine , Matei I. Radulescu

Shocks are ubiquitous in astrophysical sources, many of which involve relativistic bulk motions, leading to the formation of relativistic shocks. Such relativistic shocks have so far been studied mainly in one dimension, for simplicity, but…

High Energy Astrophysical Phenomena · Physics 2023-09-25 Prasanta Bera , Jonathan Granot , Michael Rabinovich , Paz Beniamini

When a plane shock hits a wedge head on, it experiences a reflection-diffraction process, and then a self-similar reflected shock moves outward as the original shock moves forward in time. The complexity of reflection-diffraction…

Analysis of PDEs · Mathematics 2009-09-30 Gui-Qiang Chen , Mikhail Feldman

We present an analytic approach to the dynamical friction (DF) acting on a circularly moving point mass perturber in a gaseous medium. We demonstrate that, when the perturber is turned on at $t=0$, steady-state (infinite time perturbation)…

Astrophysics of Galaxies · Physics 2022-04-06 Vincent Desjacques , Adi Nusser , Robin Buehler

Adaptive control is applied to a supersonic dual-stream jet flow comprised of Mach 1.6 core and Mach 1.0 bypass streams that mix to form a supersonic shear layer. The vortices shed are the source of a high-frequency tone that persists…

Fluid Dynamics · Physics 2026-05-20 Melissa Yeung , Yiyang Sun

We study the well-posedness and dynamic transitions of the surface tension driven convection in a three-dimensional (3D) rectangular box with non-deformable upper surface and with free-slip boundary conditions. It is shown that as the…

Mathematical Physics · Physics 2011-05-06 Henk Dijkstra , Taylan Sengul , Shouhong Wang

The present study investigates the shock wave interactions involving stationary and moving wedges using a sharp interface immersed boundary method combined with a fifth order weighted essentially non oscillatory (WENO) scheme. Inspired by…

Fluid Dynamics · Physics 2021-02-01 Pradeep Kumar Seshadri , Ashoke De

In this paper, we study the Mach reflection phenomenon in inviscid flows using a higher order discontinuous Galerkin method and overset grids. We use the shock capturing procedure proposed in Siva Prasad Kochi et al. using overset grids to…

Numerical Analysis · Mathematics 2023-01-26 S R Siva Prasad Kochi , M Ramakrishna

Main objective of this paper is to describe the dynamic transition of the incompressible MHD equations in a rectangular domain in $\mathbb{R}^{3}$. Our analysis shows that the system undergoes a first dynamic transition either to multiple…

Analysis of PDEs · Mathematics 2011-05-17 Taylan Şengül

The Variable Density and Speed of Sound Vessel (VDSSV) produces subsonic turbulent flows that are both compressible and observable at all scales with existing instrumentation including hot wires and particle tracking. We realize this…

Fluid Dynamics · Physics 2022-02-23 N. Manzano-Miura , D. Gloutak , G. P. Bewley
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