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Curved free shear layers emerge in many engineering problems involving complex flow geometries, such as the flow over a backward facing step, flows with wall injection in a boundary layer, the flow inside side-dump combustors, or wakes…

Fluid Dynamics · Physics 2024-03-06 Omar Es-SAhli , Adrian Sescu , Yuji Hattori

This study considers the linear stability of Poiseuille-Rayleigh-B\'enard flows, subjected to a transverse magnetic field to understand the instabilities that arise from the complex interaction between the effects of shear, thermal…

Fluid Dynamics · Physics 2017-09-01 Tony Vo , Gregory J. Sheard , Alban Pothérat

We investigate the linear stability of a sinusoidal shear flow with an initially uniform streamwise magnetic field in the framework of incompressible magnetohydrodynamics (MHD) with finite resistivity and viscosity. This flow is known to be…

Fluid Dynamics · Physics 2022-10-19 Adrian E. Fraser , Imogen G. Cresswell , Pascale Garaud

The Kelvin-Helmholtz (KH) instability occurring in a single shear flow configuration that is embedded in a uniform flow-aligned magnetic field, is revisited by means of high resolution two-dimensional (2D) magnetohydrodynamic (MHD)…

Astrophysics · Physics 2009-11-10 H. Baty , R. Keppens , P. Comte

In this paper, we investigate the incompressible steady Navier-Stokes system with Navier slip boundary condition in a two-dimensional channel. As long as the width of cross-section of the channel grows more slowly than the linear growth,…

Analysis of PDEs · Mathematics 2022-11-23 Kaijian Sha , Yun Wang , Chunjing Xie

We study the convective patterns that arise in a nearly semi-cylindrical cavity fed in with hot fluid at the upper boundary, bounded by a cold, porous semi-circular boundary at the bottom, and infinitely extended in the third direction.…

Fluid Dynamics · Physics 2020-06-26 Abhishek Kumar , Alban Pothérat

We introduce a low Mach number model for moist atmospheric flows that accurately incorporates reversible moist processes in flows whose features of interest occur on advective rather than acoustic time scales. Total water is used as a…

Atmospheric and Oceanic Physics · Physics 2015-05-08 Max Duarte , Ann Almgren , John Bell

We analyse numerically the linear stability of a liquid metal flow in a rectangular duct with perfectly electrically conducting walls subject to a uniform transverse magnetic field. A non-standard three dimensional vector stream…

Fluid Dynamics · Physics 2012-09-26 Jānis Priede , Svetlana Aleksandrova , Sergei Molokov

We analyze the role of the relative phasing in the nonlinear saturation of the unstable Mack modes in a hypersonic parallel flow boundary layer in two dimensions (2D). As the linearly unstable Mack modes extract energy from the mean flow,…

Fluid Dynamics · Physics 2025-02-13 Altaf Ahmed , Joaquim P. Jossy , Prateek Gupta

The present numerical investigation focuses on the leading edge bluntness effects on the double-wedge with varied aft-wedge angles exposed to low enthalpy hypersonic free stream conditions. The bluntness ratio in this study varies, ranging…

Fluid Dynamics · Physics 2023-05-29 Anurag Adityanarayan Ray , Ashoke De

Many transitional wall-bounded shear flows are characterised by the coexistence in state-space of laminar and turbulent regimes. Probing the edge boundary between the two attractors has led in the last decade to the numerical discovery of…

Fluid Dynamics · Physics 2017-10-20 Ashley P. Willis , Yohann Duguet , Oleh Omel'chenko , Matthias Wolfrum

In this paper, we establish the existence of strong solutions to the steady non-isentropic compressible Navier-Stokes system with Dirichlet boundary conditions in bounded domains where the fluid is driven by the wall temperature, and…

Analysis of PDEs · Mathematics 2024-07-24 Feimin Huang , Weiqiang Wang , Yong Wang

This work studies the three-dimensional flow dynamics around a rotating circular cylinder of finite length, whose axis is positioned perpendicular to the streamwise direction. Direct numerical simulations and global stability analyses are…

Fluid Dynamics · Physics 2023-11-15 Yongliang Yang , Chenglei Wang , Rui Guo , Mengqi Zhang

Recent work demonstrated that alternative models to the "no-slip" boundary condition for incipient flow perturbations can produce linear instabilities that do not arise in the classical formulation. The present study introduces a Robin-type…

Fluid Dynamics · Physics 2025-03-25 John O. Dabiri , Anthony Leonard

A modal stability analysis shows that pressure-driven pipe flow of an Oldroyd-B fluid is linearly unstable to axisymmetric perturbations, in stark contrast to its Newtonian counterpart which is linearly stable at all Reynolds numbers. The…

Fluid Dynamics · Physics 2020-12-09 Indresh Chaudhary , Piyush Garg , Ganesh Subramanian , Viswanathan Shankar

A recent experiment showed that cylindrical segments of water filling a hydrophilic stripe on an otherwise hydrophobic surface display a capillary instability when their volume is increased beyond the critical volume at which their apparent…

Fluid Dynamics · Physics 2009-09-16 Raymond L. Speth , Eric Lauga

In this paper, the physics of flow instability and turbulent transition in shear flows is studied by analyzing the energy variation of fluid particles under the interaction of base flow with a disturbance. For the first time, a model…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou

Differential buoyancy surface sources in the ocean may induce a density-driven flow that joins faster flow components to create a multi-scale, 3D flow. Potential temperature and salinity are active tracers that determine the ocean's…

Geophysics · Physics 2022-08-10 Ori Saporta-Katz , Edriss S. Titi , Hezi Gildor , Vered Rom-Kedar

It is increasingly common for models of shallow-layer overland flows to include equations for the evolution of the underlying bed (morphodynamics) and the motion of an associated sedimentary phase. We investigate the linear stability…

Fluid Dynamics · Physics 2021-07-01 Jake Langham , Mark J. Woodhouse , Andrew J. Hogg , Jeremy C. Phillips

Direct numerical simulations at Re = 200 have been conducted of the flow past rows of tandem cylinders. Local stability analysis shows that the wakes of two tandem cylinders are characterised by the formation of a region where the mean flow…

Fluid Dynamics · Physics 2021-02-03 Negar Hosseini , Martin D. Griffith , Justin S. Leontini