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Inviscid hydrodynamics mediates forces through pressure and other, typically irrotational, external forces. Acoustically induced forces must be consistent with arising from such a pressure field. The use of "acoustic stress" is shown to…

Fluid Dynamics · Physics 2014-09-30 Clifford Chafin

This study investigates the streaming instability triggered by ion motion in a plasma system that is finite in length, collisionless, and inhomogeneous. Employing numerical simulations using Particle-In-Cell (PIC) techniques and kinetic…

Plasma Physics · Physics 2024-05-07 R. Mishra , R. Moulick , S. Adhikari , S. Marholm , A. J. Eklund , W. J. Miloch

We are concerned with global steady subsonic flows through general infinitely long nozzles for the full Euler equations. The problem is formulated as a boundary value problem in the unbounded domain for a nonlinear elliptic equation of…

Analysis of PDEs · Mathematics 2012-04-10 Gui-Qiang Chen , Xuemei Deng , Wei Xiang

The present contribution investigates the mechanisms of sound generation and propagation in the case of highly-unsteady flows. Based on the linearisation of the isentropic Navier-Stokes equation around a new pathline-averaged base flow, it…

Mathematical Physics · Physics 2015-02-24 Christian Henke

It is proved that the acoustic-type dispersion of bending mode in graphene is generated by the fluctuation interaction between in-plane and out-of-plane terms in the free energy arising with account of non-linear components in the graphene…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 V. M. Adamyan , V. N. Bondarev , V. V. Zavalniuk

The impact of thermodiffusive effects on combustion noise in turbulent premixed slot jet flames is investigated using Direct Numerical Simulations. Two thermodiffusively unstable lean hydrogen-air flames are compared with a…

Fluid Dynamics · Physics 2026-03-20 Francesco G. Schiavone , Guillaume Daviller , Davide Laera

We establish existence, uniqueness and stability of transonic shocks for steady compressible non-isentropic potential flow system in a multidimensional divergent nozzle with an arbitrary smooth cross-section, for a prescribed exit pressure.…

Analysis of PDEs · Mathematics 2015-05-18 Myoungjean Bae , Mikhail Feldman

This paper is concerned with the development of imaging methods to localize sources or reflectors in inhomogeneous moving media with acoustic waves that have travelled through them. A typical example is the localization of broadband…

Fluid Dynamics · Physics 2020-12-30 Etienne Gay , Luc Bonnet , Christophe Peyret , Éric Savin , Josselin Garnier

We are concerned with the unique existence of an axisymmetric supersonic solution with nonzero vorticity and nonzero angular momentum density for the steady Euler-Poisson system in three-dimensional divergent nozzles when prescribing the…

Analysis of PDEs · Mathematics 2025-12-25 Hyangdong Park

For flows of a lossless gas, the stagnation enthalpy obeys a linear convected wave equation with coefficients which depend on the flow variables. This equation is self-adjoint and one has a reciprocity relation between source and observer.…

Fluid Dynamics · Physics 2010-09-21 Willi Mohring

In this paper, we are concerned with the two-dimensional steady supersonic combustion flows with a contact discontinuity moving through a nozzle of finite length. Mathematically, it can be formulated as a free boundary value problem…

Analysis of PDEs · Mathematics 2024-06-11 Junlei Gao , Feimin Huang , Jie Kuang , Dehua Wang , Wei Xiang

In this work, we present the stability theory for inhomogeneous fluids subjected to standing acoustic fields. Starting from the first principles, the stability criterion is established for two fluids of different acoustic impedance…

Fluid Dynamics · Physics 2023-06-14 Varun Kumar Rajendran , Aravind Ram S P , Karthick Subramani

Speed of sound is a key parameter for the compressibility effects in multiphase flow. We present a new approach to do direct numerical simulations on the speed of sound in compressible two-phase flow, based on the stratified multiphase flow…

Fluid Dynamics · Physics 2018-03-22 Kai Fu , Xiao-Long Deng , Lingjie Jiang

Communication is compositional if complex signals can be represented as a combination of simpler subparts. In this paper, we theoretically show that inductive biases on both the training framework and the data are needed to develop a…

Machine Learning · Computer Science 2024-04-04 Łukasz Kuciński , Tomasz Korbak , Paweł Kołodziej , Piotr Miłoś

A type-I model of non-isothermal multicomponent systems of gases describing mass diffusive and heat conductive phenomena is presented. The derivation of the model and a convergence result among thermomechanical theories in the smooth regime…

Analysis of PDEs · Mathematics 2023-01-24 Stefanos Georgiadis , Ansgar Jüngel , Athanasios Tzavaras

The recently introduced structured input-output analysis is a powerful method for capturing nonlinear phenomena associated with incompressible flows, and this paper extends that method to the compressible regime. The proposed method relies…

Fluid Dynamics · Physics 2025-03-06 Diganta Bhattacharjee , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

The decomposition of hydrodynamic and acoustic components of cavity flows can aid the understanding of the flow-acoustic interaction, which produces a variety of adverse effects in applications. We apply the approach of combining the…

Fluid Dynamics · Physics 2021-05-19 Qiong Liu , Datta Gaitonde

A compactness framework is established for approximate solutions to subsonic-sonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension. The existing compactness frameworks for the two-dimensional…

Analysis of PDEs · Mathematics 2015-07-28 Gui-Qiang G. Chen , Fei-Min Huang , Tian-Yi Wang

The acoustic signature of thermal spray processes is known to vary with changes in operating conditions, which also influence particle in-flight velocity and distribution. Building on this idea, the present work first develops an analytical…

Fluid Dynamics · Physics 2026-03-09 D. Rahmat Samii , M. Tembely

In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the $n$-dimensional$(n\geq 2)$ Euler equations for steady irrotational flow that may contain stagnation points. This compactness…

Analysis of PDEs · Mathematics 2015-03-19 Feimin Huang , Tianyi Wang , Yong Wang