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In this paper, we show that the quasi-one-dimensional flow of an ideal inviscid fluid in a corrugated pipe is parametrically unstable in certain frequency bands. First-order perturbation theory is used to analyze the stability of the flow,…

Fluid Dynamics · Physics 2021-02-09 Nikita V. Bykov

The paper presents a numerical investigation of the leading-edge vortices generated by rotating triangular wings at Reynolds number $Re=250$. A series of three-dimensional numerical simulations have been carried out using a Fourier…

Fluid Dynamics · Physics 2015-04-20 Dmitry Kolomenskiy , Yossef Elimelech , Kai Schneider

Over the past decade, the edge of chaos has proven to be a fruitful starting point for investigations of shear flows when the laminar base flow is linearly stable. Numerous computational studies of shear flows demonstrated the existence of…

Fluid Dynamics · Physics 2018-06-06 Nazmi Burak Budanur , Björn Hof

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

The stability problem of the rotation induced electrostatic wave in extragalactic jets is presented. Solving a set of equations describing dynamics of a relativistic plasma flow of AGN jets, an expression of the instability rate has been…

Astrophysics · Physics 2009-11-13 Z. Osmanov

We study analytically the dynamic response of membrane aerofoils subject to arbitrary, small-amplitude chord motions and transverse gusts in a two-dimensional inviscid incompressible flow. The theoretical model assumes linear deformations…

Fluid Dynamics · Physics 2022-09-14 Sonya Tiomkin , Justin W. Jaworski

This work considers the transition to unsteadiness in the wake of 2D slender bodies, and questions the relevance of the generally accepted scenario involving a region of absolute instability within the near wake. The case of a thin plate at…

Fluid Dynamics · Physics 2025-10-15 David Fabre

The uncertainty associated with the experimental inflow in a wind tunnel affects the prediction of the flow of interest by numerical simulations. We evaluate this impact using uncertainty quantification. A method is developed and applied to…

Fluid Dynamics · Physics 2021-04-14 Nicola Detomaso , Vincent Brion , Julien Dandois , Marie Couliou , Éric Savin

A new universal theory for flow instability and turbulent transition is proposed in this study. Flow instability and turbulence transition have been challenging subjects for fluid dynamics for a century. The critical condition of turbulent…

Chaotic Dynamics · Physics 2009-09-29 Hua-Shu Dou

The two-stream instability is a common instability, responsible for many observed phenomena in nature, especially the interaction of jets of various origin with the background plasma (e.g. extragalactic jet interacting with the cosmic…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Miroslav Horky , Petr Kulhanek

A new condition for the linear dissipative instability of the strong plane shock wave in an arbitrary medium is obtained. The instability of the shock is realized due to the flow instability behind its front, which is similar to the known…

Fluid Dynamics · Physics 2020-06-24 Sergey G. Chefranov

We investigate the stability of katabatic slope flows over an infinitely wide and uniformly cooled planar surface subject to an additional forcing due to a uniform downslope wind field aloft. We adopt an extension of Prandtl's original…

Fluid Dynamics · Physics 2020-02-19 Cheng-Nian Xiao , Inanc Senocak

We present a mathematical description of turbulent entrainment that is applicable to free shear problems that evolve in space, time or both. Defining the global entrainment velocity $\overline V_g$ to be the fluid motion across an…

Fluid Dynamics · Physics 2020-12-09 Maarten van Reeuwijk , J. Christos Vassilicos , John Craske

We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms…

Analysis of PDEs · Mathematics 2019-04-22 Jason Howell , Katelynn Huneycutt , Justin T. Webster , Spencer Wilder

We study the stability and dynamics of traveling-front solutions of a modified Kuramoto--Sivashinsky equation arising in the modeling of nanoscale ripple patterns that form when a nominally flat solid surface is bombarded with a broad ion…

Analysis of PDEs · Mathematics 2019-07-03 Mathew A. Johnson , Gregory D. Lyng , Connor Smith

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 investigate the 2D instability recently discussed by Gallet et al. (2010) and Ilin \& Morgulis (2013) which arises when a radial crossflow is imposed on a centrifugally-stable swirling flow. By finding a simpler rectilinear example of…

Fluid Dynamics · Physics 2023-07-19 R. R. Kerswell

This work is devoted to the study of the influence of temperature anisotropy and parallel heat flux on the stability of supersonic shear flow in collisionless plasmas. Within a fluid-based framework, we employ the 16-moment transport…

Solar and Stellar Astrophysics · Physics 2026-05-14 Namig S. Dzhalilov

Energetic electromagnetic emissions by astrophysical jets like those that are launched during the collapse of a massive star and trigger gamma-ray bursts (GRBs) are partially attributed to relativistic internal shocks. The shocks are…

High Energy Astrophysical Phenomena · Physics 2017-09-12 M E Dieckmann , A Bret

Microscopic instability and macroscopic flow pattern resulting from colliding plasmas are studied analytically in support of laboratory experiments. The plasma flows are assumed to stream radially from two separate centers. In a…

Plasma Physics · Physics 2018-11-13 Mikhail Malkov , Vladimir Sotnikov