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We study the stability properties of boundary layer-type shear flows for the three-dimensional Navier-Stokes equations in the limit of small viscosity $0<\nu\ll 1$. When the streamwise and spanwise velocity profiles are linearly independent…

Analysis of PDEs · Mathematics 2025-09-09 Cheng-Jie Liu , Mengjun Ma , Di Wu , Zhu Zhang

We derive boundary conditions at interfaces (contact discontinuities) for a class of Lagrangian models describing, in particular, bubbly flows. We use these conditions to study Kelvin-Helmholtz' instability which develops in the flow of two…

Fluid Dynamics · Physics 2008-01-17 Sergey L. Gavrilyuk , Henri Gouin , Vladimir M. Teshukov

We study the linear evolution of small perturbations in self-gravitating fluid systems with magnetic fields. We consider wave-like perturbations to nonuniform filamentary and sheet-like hydrostatic equilibria in the presence of a uniform…

Astrophysics · Physics 2015-06-24 Curtis S. Gehman , Fred C. Adams , Richard Watkins

Laminar separation bubbles around airfoils lead to the growth of instability waves, which enhances to acoustic scattering at the trailing-edge, forming a feedback loop that produces to tonal noise. To reduce the trailing-edge tonal noise,…

For a Mach 4.5 flat-plate adiabatic boundary layer, we study the sensitivity of the first, second Mack modes and streaks to steady wall-normal blowing/suction and wall heat flux. The global instabilities are characterised in frequency space…

Fluid Dynamics · Physics 2023-06-14 Arthur Poulain , Cédric Content , Georgios Rigas , Eric Garnier , Denis Sipp

Turbulent boundary layers over flat walls in the presence of a hill are frequently found in nature and industry. Some examples are the air flows over hills and desert dunes, but also water flows over aquatic dunes inside closed conduits.…

Fluid Dynamics · Physics 2017-06-09 Erick de Moraes Franklin , Guilherme Augusto Ayek

The collapse of a gas or vapour bubble near a non-porous boundary is directed at the boundary due to the asymmetry induced by the nearby boundary. High surface pressure and shear stress from this collapse can damage, or clean, the surface.…

Fluid Dynamics · Physics 2023-05-10 Elijah D. Andrews , David Fernández Rivas , Ivo R. Peters

This study investigates laminar boundary layer separation over a fully porous Gaussian bump using pore-resolved direct numerical simulations. The bump is formed by randomly packed spheres. Compared to a solid bump, the porous surface…

Fluid Dynamics · Physics 2025-05-22 Grace Bridge , Wen Wu

The present study employs a linear global stability analysis to investigate buoyancy-induced flickering of axisymmetric laminar jet diffusion flames as a hydrodynamic global mode. The instability-driving interactions of the buoyancy force…

Fluid Dynamics · Physics 2019-12-10 D. Moreno-Boza , W. Coenen , A. Sevilla , J. Carpio , A. L. Sánchez , A. Liñán

This study presents a detailed investigation of the modulational stability of interfacial wave packets in a two-layer inviscid incompressible fluid with finite layer thicknesses and interfacial surface tension. The stability analysis is…

Fluid Dynamics · Physics 2025-11-20 Olga Avramenko , Volodymyr Naradovyi

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

This paper presents the linear Global stability analysis of the incompressible axisymmetric boundary layer on a circular cone. The base flow is considered parallel to the axis of cone at the inlet. The angle of attack is zero and hence the…

Fluid Dynamics · Physics 2016-08-30 N. Vinod , Ramesh Bhoraniya

Laminar-turbulent transition on a rotating wind turbine blade at a chord Reynolds number of $1 \times 10^5$ and varying angles of attack ($AoA$) is studied with direct numerical simulations and linear stability theory. The rotation effects…

Fluid Dynamics · Physics 2023-08-01 Thales Coelho Leite Fava , Dan Henningson , Ardeshir Hanifi

A flat-plate laminar boundary layer is simulated at Mach 6 and unit Reynolds number of 1.1e7 using the Direct Simulation Monte Carlo (DSMC) method to capture and analyze spontaneous second-mode instability growth. Power spectral density…

Fluid Dynamics · Physics 2025-12-15 Mert Senkardesler , Irmak T. Karpuzcu , Deborah A. Levin , Vassilis Theofilis

A quantitative analysis illustrating salient features of a Laminar Separation Bubble (LSB), its transition forming coherent structures, and associated heat transfer has been performed on a flat plate for varying free stream turbulence (fst)…

Fluid Dynamics · Physics 2023-04-14 Sonalika Srivastava , Subrata Sarkar

We identify a finite wavenumber instability of a 90$^{\circ}$ tilt grain boundary in three dimensional lamellar phases which is absent in two dimensional configurations. Both a stability analysis of the slowly varying amplitude or envelope…

Soft Condensed Matter · Physics 2009-11-10 Zhi-Feng Huang , Jorge Vinals

We theoretically investigate the pattern formation observed when a fluid flows over a solid substrate that can dissolve or melt. We use a turbulent mixing description that includes the effect of the bed roughness. We show that the…

Fluid Dynamics · Physics 2017-11-22 P. Claudin , O. Duran , B. Andreotti

Global stability analysis and direct numerical simulation (DNS) are performed to study boundary layer flows with an isolated roughness element. Wall-attached cuboids with aspect ratios $\eta=1$ and $\eta=0.5$ are investigated for fixed…

Fluid Dynamics · Physics 2022-10-05 Rong Ma , Krishnan Mahesh

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

We present the results of a Direct Numerical Simulation of a particle-laden spatially developing turbulent boundary layer up to Re{\theta} = 2500. Two main features differentiate the behavior of inertial particles in a zero-…