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A new eigenvalue analysis is developed and applied to the circular cylinder laminar flow configuration to investigate the various mechanisms at play in the nonlinear saturation of perturbations yielding to limit cycles for supercritical…

Fluid Dynamics · Physics 2020-08-25 Olivier Marquet , Marco Carini

Vaporization of low-boiling point droplets has numerous applications in combustion, process engineering and in recent years, in clinical medicine. However, the physical mechanisms governing the phase conversion are only partly explained.…

Fluid Dynamics · Physics 2021-02-24 Guilllaume Lajoinie , Tim Segers , Michel Versluis

Acoustic shock and acceleration waves in inhomogeneous fluids are investigated using both analytical and numerical methods. In the context of start-up signaling problems, and based on linear acoustics theory, we study the propagation of…

Fluid Dynamics · Physics 2018-11-13 R. S. Keiffer , P. M. Jordan , I. C. Christov

The two-dimensional backward-facing step flow is a canonical example of noise amplifier flow: global linear stability analysis predicts that it is stable, but perturbations can undergo large amplification in space and time as a result of…

Fluid Dynamics · Physics 2014-12-05 Edouard Boujo , François Gallaire

A three-layer asymptotic structure for turbulent pipe flow is proposed, revealing in terms of intermediate variables, the existence of a Reynolds-number invariant logarithmic region. It provides a theoretical foundation for addressing…

Fluid Dynamics · Physics 2021-07-01 Sourabh S. Diwan , Jonathan F. Morrison

The aim of this paper is to derive a new equation (the \emph{acoustic-drift equation} (ADE)) describing the generation of a flow by an acoustic wave. We consider acoustic waves of perfect barotropic gas as the zero-order solution and derive…

Fluid Dynamics · Physics 2012-06-07 Vladimir A. Vladimirov

It is shown that the addition of small amounts of microscopic rods in a viscous fluid at low Reynolds number causes a significant increase of the flow resistance. Numerical simulations of the dynamics of the solution reveal that this…

Fluid Dynamics · Physics 2017-11-22 Emmanuel L. C. VI M. Plan , Stefano Musacchio , Dario Vincenzi

We consider the scattering of acoustic perturbations in a presence of a flow. We suppose that the space can be split into a zone where the flow is uniform and a zone where the flow is potential. In the first zone, we apply a Prandtl-Glauert…

Computational Physics · Physics 2015-05-20 Nolwenn Balin , Fabien Casenave , François Dubois , Eric Duceau , Stefan Duprey , Isabelle Terrasse

Turbulent mixing layers over cavities can couple with acoustic waves and lead to undesired oscillations. To understand the nonlinear aspects of this phenomenon, a turbulent mixing layer over a deep cavity at Reynolds number 150 000 is…

Fluid Dynamics · Physics 2019-10-04 Edouard Boujo , Michael Bauerheim , Nicolas Noiray

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

Standing acoustic waves have been known to generate Eulerian time-mean 'streaming' flows at least since the seminal investigation of Lord Rayleigh in the 1880s. Nevertheless, a recent body of numerical and experimental evidence has shown…

Fluid Dynamics · Physics 2024-10-10 Jacques Abdul Massih , Remil Mushthaq , Guillaume Michel , Gregory P. Chini

In this work we present an alternative derivation of the general relativistic acoustic analogue geometry by perturbing the mass accretion rate or flux of an ideal fluid flowing radially in a general static and spherically symmetric…

High Energy Astrophysical Phenomena · Physics 2015-08-11 Deepika B. Ananda , Sourav Bhattacharya , Tapas K. Das

One way to break acoustic reciprocity is to have a moving wave propagation medium. If the acoustic wave vector and the moving fluid velocity are collinear we can use the wave vector shift caused by the fluid flow to break reciprocity. In…

Fluid Dynamics · Physics 2018-02-14 Masoud Naghdi , Farhad Farzbod

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

Mathematical Physics · Physics 2021-09-03 Jean-Luc Akian , Éric Savin

This paper concerns about the large time behavior of acoustic wave motion driven by a random force acting through the boundary. We begin with an abstract result showing the interconnection between the regularity of Markov semigroup…

Analysis of PDEs · Mathematics 2025-06-17 Zhe Jiao , Xiao Li

Building upon our first paper [Hu, K.X, & Hu, Y. J. (2025). Hydroacoustic Absorption and Amplification by Turbulence, arXiv:2512.07920], the present work conducts a more in-depth investigation into the impact of turbulence on hydroacoustic…

Fluid Dynamics · Physics 2026-03-04 Kai-Xin Hu , Yue-Jin Hu

A high-fidelity simulation of the shock/transitional boundary layer interaction caused by a 15-degrees axisymmetrical compression ramp is performed at a freestream Mach number of 5 and a transitional Reynolds number. The inlet of the…

Fluid Dynamics · Physics 2020-11-18 Mathieu Lugrin , Samir Beneddine , Colin Leclercq , Eric Garnier , Reynald Bur

We investigate two common numerical techniques for integrating reversible moist processes in atmospheric flows in the context of solving the fully compressible Euler equations. The first is a one-step, coupled technique based on using…

Atmospheric and Oceanic Physics · Physics 2015-05-11 Max Duarte , Ann S. Almgren , Kaushik Balakrishnan , John B. Bell , David M. Romps

We present a systematic approach to deriving normal forms and related amplitude equations for flows and discrete dynamics on the center manifold of a dynamical system at local bifurcations and unfoldings of these. We derive a general,…

chao-dyn · Physics 2009-10-31 M. Ipsen , F. Hynne , P. G. Soerensen

In the application of high frequency acoustic flow measurement, viscothermal dissipation and asymmetric acoustic modes cannot be overlooked. Present paper mathematically formulates asymmetric linear disturbance dynamics in terms of velocity…

Fluid Dynamics · Physics 2018-04-24 Yong Chen , Bo Yuan , Xiaoqian Chen , Lei Qi