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Hypersonic boundary layers exhibit diverse transition pathways, influenced by various flow conditions and environments. Non-modal mechanisms, such as the lift-up effect, are recognized as pivotal contributors to transition, particularly…

Fluid Dynamics · Physics 2024-06-04 Clément Caillaud , Guillaume Lehnasch , Eduardo Martini , Peter Jordan

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

This study seeks to characterise the breakdown of the steady 2D solution in the flow around a 180-degree sharp bend to infinitesimal 3D disturbances using a linear stability analysis. The stability analysis predicts that 3D transition is…

Fluid Dynamics · Physics 2017-08-30 Azan M. Sapardi , Wisam K. Hussam Alban Pothérat , Gregory J. Sheard

Here we present a network theory-based approach to investigate the Mack-mode instability signature found in high-speed schlieren data from a Mach 6 laminar boundary layer flow over a $7^\circ$ cone. The data contain instability wave packets…

This study investigates the linear stability of a laminar premixed flame, anchored on a square cylinder and confined inside a channel. Many modern linear analysis concepts have been developed and validated around non-reacting bluff-body…

Fluid Dynamics · Physics 2022-11-11 Chuhan Wang , Lutz Lesshafft , Kilian Oberleithner

A family of compressible exact periodic solutions is reported for the first time in an open cavity flow setup. These are found using a novel framework which permits the computation of such solutions in an arbitrary complex geometry. The…

Fluid Dynamics · Physics 2017-10-10 J. Javier Otero , Ati S. Sharma , Richard D. Sandberg

This paper presents a numerical analysis of the transition from selective withdrawal to viscous entrainment. In our model problem, an interface between two immiscible layers of equal viscosity is deformed by an axisymmetric withdrawal flow,…

Fluid Dynamics · Physics 2007-05-23 Marko Kleine Berkenbusch , Itai Cohen , Wendy W. Zhang

Base-flow computations and stability analyses are performed for a hypersonic wind tunnel nozzle at a Mach number of 6. Isothermal and adiabatic wall boundary conditions are investigated, and moderate stagnation conditions are used to…

Linear stability of supersonic flow over a short compression corner with ramp angles 30 and 42 is investigated using Direct Simulation Monte Carlo (DSMC) and Linear Stability Theory (LST) at Mach number 3, Reynolds number 11,200 and low…

Fluid Dynamics · Physics 2024-05-14 Irmak T. Karpuzcu , Vassilis Theofilis , Deborah A. Levin

High-fidelity numerical simulations of compressible flow past a rapidly rotating cylinder are used to investigate the evolution of aerodynamic loads and flow instability over a wide range of Reynolds numbers (Re = 1000 to 6000). The study…

Fluid Dynamics · Physics 2026-05-27 Sanjeev Kumar , Santosh Kumar , Aditi Sengupta

The extreme heat fluxes characteristic of hypersonic flows significantly limit the flight envelope of hypersonic vehicles. The role of hydrodynamic instability and the onset of laminar to turbulent boundary layer transition is of notable…

Fluid Dynamics · Physics 2026-04-21 L. Boscagli , G. Rigas , O. Marxen , P. J. K. Bruce

The self-excited spanwise homogeneous perturbations arising in shock-wave/boundary-layer interaction (SWBLI) system formed in a hypersonic flow of molecular nitrogen over a double wedge are investigated using the kinetic Direct Simulation…

Fluid Dynamics · Physics 2021-01-12 Saurabh S. Sawant , Ozgur Tumuklu , Vassilis Theofilis , Deborah A. Levin

Hypersonic leading-edge separation is studied towards understanding the varying shock-related unsteadiness with freestream Reynolds number ($1.66 \times 10^5 \leq Re_D \leq 5.85 \times 10^5$) in the newly constructed hypersonic Ludwieg…

Fluid Dynamics · Physics 2023-01-25 S. K. Karthick , Soumya R. Nanda , J. Cohen

This study investigates the origin and sustenance of self induced oscillations of shock structures in a hypersonic flow over a double wedge configuration. Previously, various researchers have considered the double wedge flow configuration…

Fluid Dynamics · Physics 2021-03-11 Gaurav Kumar , Ashoke De

The effect of magnetic shear and shear flow on local gravitationally induced instabilities is investigated. A simple model is constructed allowing for an arbitrary entropy gradient and a shear plasma flow in the Boussinesq approximation. A…

Astrophysics · Physics 2009-11-06 Gregory G. Howes , Steven C. Cowley , James C. McWilliams

Three-dimensional direct numerical simulations of an incompressible open square cavity flow are conducted. Features of the permanent (non-linear) regime together with the linear stability analysis of a two-dimensional steady base flow are…

Fluid Dynamics · Physics 2012-07-30 L. R. Pastur , Y. Fraigneau , F. Lusseyran , J. Basley

We present a symmetry classification of the linearised Navier-Stokes equations for a two-dimensional unbounded linear shear flow of an incompressible fluid. The full set of symmetries is employed to systematically derive invariant ansatz…

Fluid Dynamics · Physics 2013-10-11 Andreas Nold , Martin Oberlack

The influence of surface roughness on transition to turbulence in a Mach 4.5 boundary layer is studied using direct numerical simulations. Transition is initiated by the nonlinearly most dangerous inflow disturbance, which causes the…

Fluid Dynamics · Physics 2023-07-19 Reza Jahanbakhshi , Tamer A. Zaki

We perform direct numerical simulations of laminar separated flows over finite-aspect-ratio swept wings at a chord-base Reynolds number of $Re = 400$ to reveal a variety of wake structures generated for a range of aspect ratios…

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