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We carry out a linear stability analysis of a magnetized relativistic rotating cylindrical jet flow using the approximation of zero thermal pressure. We identify several modes of instability in the jet: Kelvin-Helmholtz, current driven and…

High Energy Astrophysical Phenomena · Physics 2019-03-13 Gianluigi Bodo , George Mamatsashvili , Paola Rossi , Andrea Mignone

We study the stability of two-fluid flow through a plane channel at Reynolds numbers of a hundred to a thousand in the linear and nonlinear regimes. The two fluids have the same density but different viscosities. The fluids, when miscible,…

Fluid Dynamics · Physics 2021-01-27 Kirti Chandra Sahu , Rama Govindarajan

This paper addresses the stability of plane Couette flow in the presence of strong density and viscosity stratifications. It demonstrates the existence of a generalised inflection point that satisfies the generalised Fjortoft's criterion of…

Fluid Dynamics · Physics 2024-06-13 B. Bugeat , P. C. Boldini , A. M. Hasan , R. Pecnik

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 perform a linear analysis of the stability of a magnetized relativistic non-rotating cylindrical flow in the aproximation of zero thermal pressure, considering only the m = 1 mode. We find that there are two modes of instability:…

High Energy Astrophysical Phenomena · Physics 2015-06-16 G. Bodo , G. Mamatsashvili , P. Rossi , A. Mignone

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin

Two-dimensional free-surface flow over localised topography is examined with the emphasis on the stability of hydraulic-fall solutions. A Gaussian topography profile is assumed with a positive or negative amplitude modelling a bump or a…

Fluid Dynamics · Physics 2024-03-12 Jack S. Keeler , Mark G. Blyth

The focus of this study is to understand the evolution of instability in centrifugal buoyancy-induced flow in a rotating system. The problem is of interest in atmospheric flows as well as in engineering applications. In this study, we…

Fluid Dynamics · Physics 2021-11-16 Deepak Saini , Richard D. Sandberg

In this article, we propose a methodology to reconstruct, in a single step, the mean- and unsteady properties of a flow from very few time-resolved measurements. The procedure is based on the {\it a priori} alignement of Fourier- and…

Fluid Dynamics · Physics 2021-02-09 Lucas Franceschini , Denis Sipp , Olivier Marquet

Boundary-layer instabilities for a finned cone at Mach=6, $Re=8.4 \times 10^6$ [m$^{-1}$], and zero incidence angle are examined using linear stability methods of varying fidelity and maturity, following earlier analysis presented in…

A novel supersonic jet oscillating method is investigated both experimentally and numerically. A rectangular primary supersonic jet is issued into a confined chamber with sudden enlargement. Secondary control jets are issued from the top,…

Fluid Dynamics · Physics 2023-11-01 Spandan Maikap , S. K. Karthick , R. Arun Kumar

A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

Fluid Dynamics · Physics 2010-12-06 B. J. McKeon , A. S. Sharma

A theoretical and numerical analysis of the linear stability of the boundary layer flow under a solitary wave is presented. In the present work, the nonlinear boundary layer equations are solved. The result is compared to the linear…

Fluid Dynamics · Physics 2015-06-17 Joris C. G. Verschaeve , Geir K. Pedersen

The dynamics of transitional flows are governed by an interplay between the non-normal linear dynamics and quadratic nonlinearity in the incompressible Navier-Stokes equations. In this work, we propose a framework for nonlinear stability…

Fluid Dynamics · Physics 2021-04-28 Aniketh Kalur , Peter Seiler , Maziar S. Hemati

We present the stability analysis of a plane Couette flow which is stably stratified in the vertical direction orthogonally to the horizontal shear. Interest in such a flow comes from geophysical and astrophysical applications where…

Fluid Dynamics · Physics 2018-10-17 Giulio Facchini , Benjamin Favier , Patrice Le Gal , Meng Wang , Michael Le Bars

We study the stability of plane Poiseuille flow (PPF) and plane Couette flow (PCF) subject to streamwise system rotation using linear stability analysis and direct numerical simulations. The linear stability analysis reveals two asymptotic…

Fluid Dynamics · Physics 2025-10-31 Geert Brethouwer

We study a turbulent jet issuing from a cylindrical nozzle to characterise coherent structures evolving in the turbulent boundary layer. The analysis is performed using data from a large-eddy simulation of a Mach 0.4 jet. Azimuthal…

Fluid Dynamics · Physics 2021-08-11 Oğuzhan Kaplan , Peter Jordan , André Cavalieri , Guillaume A. Brès

Despite extensive experimental evidence of turbulence in Hagen Poiseuille flow, linear stability analysis has not yet confirmed its instability. One challenge is the singularity introduced by the term 1/r in the center of the pipe, which…

Fluid Dynamics · Physics 2025-10-30 Akash Unnikrishnan , Vinod Narayanan

This work investigates the spatio-temporal evolution of coherentstructures in the wake of a high-speed train. SPOD is used to extract energy spectra and empirical modes for both symmetric and antisymmetric components of the fluctuating flow…

Coherent small-amplitude unsteadiness of the shock wave and the separation region over a canonical double cone flow, termed in literature as oscillation-type unsteadiness, is experimentally studied at Mach 6. The double cone model is…

Fluid Dynamics · Physics 2024-11-20 Gaurav Kumar , Vaisakh Sasidharan , Akshaya G. Kumara , Subrahmanyam Duvvuri
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