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An analytical model is developed to study the sound produced by the interaction between shock and instability waves in two-dimensional supersonic jet flows. The jet is considered to be of vortex-sheet type and 2D Euler equations are…

Fluid Dynamics · Physics 2023-01-18 Binhong Li , Benshuai Lyu

A semi-empirical model is developed in this paper to predict the broadband shock-associated noise (BBSAN) generated by shock-instability interaction (SII) in imperfectly expanded supersonic jets. The model makes use of a semi-empirically…

Fluid Dynamics · Physics 2025-10-28 Binhong Li , Benshuai Lyu

In this paper, we develop an analytical model to investigate the generation of instability waves triggered by the upstream acoustic forcing near the nozzle lip of a supersonic jet. This represents an important stage, i.e. the jet…

Fluid Dynamics · Physics 2024-05-17 Binhong Li , Sicheng Zhang , Benshuai Lyu

The vortex ring is usually analytically modelled in computational studies involving vortex ring and shock wave interaction. However, incompressibility assumptions of the isolated vortex ring model mostly limits its applicability to the…

Fluid Dynamics · Physics 2024-10-31 Swapnil Ashok Ahire , Avijit Chatterjee

We present a two-point model to investigate the underlying source mechanisms for broadband shock-associated noise (BBSAN) in shock-containing supersonic jets. In the model presented, the generation of BBSAN is assumed to arise from the…

Hydrodynamic modes in the turbulent mixing layer over a cavity can constructively interact with the acoustic modes of that cavity and lead to aeroacoustic instabilities. The resulting limit cycles can cause undesired structural vibrations…

Fluid Dynamics · Physics 2021-09-21 Tiemo Pedergnana , Claire Bourquard , Abel Faure-Beaulieu , Nicolas Noiray

The dynamic evolution of a highly underexpanded transient supersonic jet at the exit of a pulse detonation engine is investigated via high-resolution time-resolved schlieren and numerical simulations. Experimental evidence is provided for…

A new instability mechanism is described in accretion flows where the gas is accelerated from a stationary shock to a sonic surface. The instability is based on a cycle of acoustic and entropic waves in this subsonic region of the flow.…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Tagger

We model the resonance mechanism underpinning generation of A1 and A2 screech tones in an under-expanded supersonic jet. Starting from the resonance model recently proposed by \cite{mancinelli2019screech}, where the upstream-travelling wave…

Fluid Dynamics · Physics 2022-07-15 Matteo Mancinelli , Vincent Jaunet , Peter Jordan , Aaron Towne

Screech resonance is studied with experimentally validated large-eddy simulation data for a 4:1 rectangular under-expanded jet at three nozzle pressure ratios. The analysis uses spectral proper orthogonal decomposition (SPOD) and spatial…

Fluid Dynamics · Physics 2023-04-04 Gao Jun Wu , Sanjiva K. Lele , Jinah Jeun

Impinging compressible jets may cause deafness and material fatigue due to immensely loud tonal noise. It is generally accepted that a feedback mechanism similar to the screech feedback loop is responsible for impinging tones. The close of…

Fluid Dynamics · Physics 2016-04-20 Robert Wilke , Jörn Sesterhenn

We study the generation of tones by ideally-expanded round jets impinging on a flat plate. Data from large-eddy simulations performed for different nozzle-to-plate distances is explored, and we consider closure of the aeroacoustic feedback…

Fluid Dynamics · Physics 2024-12-05 Igor A. Maia , Maxime Fiore , Romain Gojon

We study the formation and dynamics of shock waves initiated by a repulsive potential in a superfluid unitary Fermi gas by using the order-parameter equation. In the theoretical framework, the regularization process of shock waves mediated…

Quantum Gases · Physics 2019-10-03 Wen Wen , Tiankun Shui , Yafei Shan , Changping Zhu

We study the Cauchy problem for the compressible Euler equations in two spatial dimensions under any physical barotropic equation of state except that of a Chaplygin gas. We prove that the well-known phenomenon of shock formation in simple…

Analysis of PDEs · Mathematics 2016-10-05 Jonathan Luk , Jared Speck

This study investigates the onset of linear instabilities and their later nonlinear interactions in the shear layer of an initially-laminar jet using a combination of stability analysis and data from high-fidelity flow simulations. We…

Fluid Dynamics · Physics 2025-09-10 Akhil Nekkanti , Tim Colonius , Oliver T. Schmidt

We use a series of global models to investigate the linear and nonlinear interactions between shock cells, Kelvin-Helmholtz waves, guided jet modes, and other fluctuations in a screeching jet. First, we identify a set of lightly damped…

We present an analysis of the linear stability characteristics of shock-containing jets. The flow is linearised around a spatially periodic mean, which acts as a surrogate for a mean flow with a shock-cell structure, leading to a set of…

We analyze the shock formation process for the 3d non-isentropic Euler equations with the ideal gas law, in which sounds waves interact with entropy waves to produce vorticity. Building on our theory for isentropic flows in [3,4], we give a…

Analysis of PDEs · Mathematics 2020-06-29 Tristan Buckmaster , Steve Shkoller , Vlad Vicol

This study reports the development and characterization of a multiple-supersonic-jet wind tunnel designed to investigate the decay of nearly homogeneous and isotropic turbulence in a compressible regime. The interaction of 36 supersonic…

Fluid Dynamics · Physics 2024-01-17 Takahiro Mori , Tomoaki Watanabe , Koji Nagata

Stochastic Structural Stability Theory (S3T) provides analytical methods for understanding the emergence and equilibration of jets from the turbulence in planetary atmospheres based on the dynamics of the statistical mean state of the…

Fluid Dynamics · Physics 2015-03-20 Navid C. Constantinou , Brian F. Farrell , Petros J. Ioannou
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