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The linear stability of a shear layer in a highly diffusive stably stratified atmosphere has been investigated. This study completes and extends previous works by Dudis (1974) and Jones (1977). We show that: (i) an asymptotic regime is…

Astrophysics · Physics 2007-05-23 F. Lignieres , F. Califano , A. Mangeney

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

The intrinsic uncertainty of fluid properties, including the equation of state, viscosity, and thermal conductivity, on boundary layer stability has scarcely been addressed. When a fluid is operating in the vicinity of the Widom line…

Fluid Dynamics · Physics 2025-02-07 Jie Ren , Yongxiang Wu , Xuerui Mao , Cheng Wang , Markus Kloker

Characterizing the boundary layer transition to turbulence around realistic hypersonic vehicles is a challenging task due to the numerous parameters that affect the process. To address this challenge, the cone-cylinder-flare (CCF) geometry…

Fluid Dynamics · Physics 2023-03-30 Clément Caillaud , Mathieu Lugrin , Sébastien Esquieu , Cédric Content

We examine the linear stability of an isothermal filamentary cloud permeated by a perpendicular magnetic field. Our model cloud is assumed to be supported by gas pressure against the self-gravity in the unperturbed state. For simplicity,…

Astrophysics of Galaxies · Physics 2017-10-11 Tomoyuki Hanawa , Takahiro Kudoh , Kohji Tomisaka

The flow past a bullet-shaped blunt body moving in a pipe is investigated through global linear stability analysis (LSA) and direct numerical simulation (DNS). A cartography of the bifurcation curves is provided thanks to LSA, covering the…

Fluid Dynamics · Physics 2022-09-21 P. Bonnefis , D. Fabre , C. Airiau

In this short review it is suggested that the relationship between third- and fourth-order moments of turbulence in the atmospheric boundary layer depends on stability. This can explain some differences among datasets, and provides a key…

Atmospheric and Oceanic Physics · Physics 2020-01-29 Alberto Maurizi

This is the first paper in a series where we study collisions of nucleated bubbles taking into account the effects of small initial (quantum) fluctuations in a fully 3+1-dimensional setting. In this paper, we consider the evolution of…

High Energy Physics - Theory · Physics 2017-11-09 Jonathan Braden , J. Richard Bond , Laura Mersini-Houghton

We study the linear differential equation x' = Lx in 1:1 resonance. That is, x in R^4 and L is a 4 by 4 matrix with a semi-simple double pair of imaginary eigenvalues (ib,-ib,ib,-ib). We wish to find all perturbations of this linear system…

Dynamical Systems · Mathematics 2010-02-27 I. Hoveijn , O. N. Kirillov

The incompressible boundary layer in the axial flow past a cylinder has been shown Tutty et. al.(\cite{tutty}) to be stabler than a two-dimensional boundary layer, with the helical mode being the least stable. In this paper the secondary…

Fluid Dynamics · Physics 2008-07-25 N. Vinod , Rama Govindarajan

The gravitation interaction between particles is taken into account in central configuration model. After that, the resonance perturbation of the particle of the central configuration by distant satellite is considered in the restricted…

Dynamical Systems · Mathematics 2007-05-23 A. E. Rosaev

The traditional approach in the study of hydrodynamic stability of stratified fluids includes the stick boundary conditions between layers. However, this rule may be violated in polymer systems and as a consequence various instabilities may…

Fluid Dynamics · Physics 2015-06-10 Stanislav Patlazhan

In this paper we study the nonlinear stability of a shear layer profile for Navier Stokes equations near a boundary. This question plays a major role in the study of the inviscid limit of Navier Stokes equations in a bounded domain as the…

Analysis of PDEs · Mathematics 2023-03-30 Dongfen Bian , Emmanuel Grenier

Instabilities of fluid-fluid interfaces are ubiquitous in passive soft matter. Adding activity to the interface or either fluid can dramatically change the stability of the interface. Using experiment and theory, we investigate the…

Soft Condensed Matter · Physics 2026-02-04 Bennett C. Sessa , Federico Cao , Robert A. Pelcovits , Thomas R. Powers , Guillaume Duclos

Wall cooling has substantial effects on the development of instabilities and transition processes in hypersonic boundary layers (HBLs). A sequence of linear stability theory, two-dimensional and non-linear three-dimensional DNSs is used to…

Fluid Dynamics · Physics 2021-04-07 S. Unnikrishnan , Datta V. Gaitonde

The aim of this work is to study the dynamics and stability of soft shape-morphing configurations and specifically the modes of interaction between the front and rear airfoil segments. Initially we present several steady-state solutions,…

Fluid Dynamics · Physics 2018-05-08 Netanel Hassan , Shai B. Elbaz , Amir D. Gat

This work presents an analytical investigation of anomalous diffusion and turbulence in a dusty plasma monolayer, where energy transport across scales leads to the spontaneous formation of spatially disordered patterns. Many-body…

We consider the three-dimensional instability of a layer of horizontal magnetic field in a polytropic atmosphere where, contrary to previous studies, the field lines in the initial state are not unidirectional. We show that if the twist is…

Solar and Stellar Astrophysics · Physics 2015-03-20 B. F. N. Favier , L. Jouve , W. Edmunds , L. J. Silvers , M. R. E. Proctor

The low-frequency modal and non-modal stability characteristics of an incompressible, pressure-gradient-induced turbulent separation bubble (TSB) are investigated with the objective of studying the mechanism responsible for the…

Fluid Dynamics · Physics 2024-11-20 C. Cura , A. Hanifi , A. V. G. Cavalieri , J. Weiss

Shock buffet on wings encountered in edge-of-the-envelope transonic flight remains an unresolved and disputed flow phenomenon, challenging both fundamental fluid mechanics and applied aircraft aerodynamics. The question of global…

Fluid Dynamics · Physics 2018-06-20 Sebastian Timme
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