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Quadratic flows have the unique property of uniform strain and are commonly used in turbulence modeling and hydrodynamic analysis. While previous application focused on two-dimensional homogeneous fluid, this study examines the geometric…

Fluid Dynamics · Physics 2017-03-30 Che Sun

Mixing and heat transfer rates are typically enhanced when operating at high-pressure transcritical turbulent flow regimes. The rapid variation of thermophysical properties in the vicinity of the pseudo-boiling region can be leveraged to…

Fluid Dynamics · Physics 2024-09-27 Marc Bernades , Francesco Capuano , Lluis Jofre

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

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

The increased friction caused by turbulence is a significant contributor to energy consumption in the fluid-transport and piping industries. Here we describe a passive approach to reduce friction: we show that a local increase in streamwise…

Fluid Dynamics · Physics 2026-04-28 Eman Bagheri , Stefan Becker , Philipp Schlatter

The influence of flow non-uniformity and unsteadiness on premixed flames is of considerable interest due to its direct relevance to practical combustion systems. The steady counterflow flame has long served as a canonical configuration for…

Fluid Dynamics · Physics 2025-10-30 Jose G Rivera Lizarralde , Aditya Potnis , Abhishek Saha

Rotation significantly influences the stability characteristics of both laminar and turbulent shear flows. This study examines the stability threshold of the three-dimensional Navier-Stokes equations with rotation, in the vicinity of the…

Analysis of PDEs · Mathematics 2024-12-17 Wenting Huang , Ying Sun , Xiaojing Xu

In this paper, we establish linear enhanced dissipation results for the three-dimensional Boussinesq equations around a stably stratified Couette flow, in the viscous and thermally diffusive setting. The dissipation rates are faster…

Analysis of PDEs · Mathematics 2023-09-13 Michele Coti Zelati , Augusto Del Zotto

We study the stability of Couette flow in the 3d Navier-Stokes equations with rotation, as given by the Coriolis force. Hereby, the nature of linearized dynamics near Couette flow depends crucially on the force balance between background…

Analysis of PDEs · Mathematics 2025-01-30 Michele Coti Zelati , Augusto Del Zotto , Klaus Widmayer

In turbulent flows kinetic energy is spread by nonlinear interactions over a broad range of scales. Energy transfer may proceed either toward small scales or in the reverse direction. The latter case is peculiar of two-dimensional (2D)…

Fluid Dynamics · Physics 2015-06-03 Luca Biferale , Stefano Musacchio , Federico Toschi

Opposition flow control is a robust strategy that has been proved effective in turbulent wall-bounded flows. Its conventional setup consists of measuring wall-normal velocity in the buffer layer and opposing it at the wall. This work…

Fluid Dynamics · Physics 2022-02-16 Anna Guseva , Javier Jimenez

Recently, Kami\'nski et al. [1] demonstrated that a two-dimensional streamwise waviness with carefully selected amplitude and period can be effectively used in postponement of a flow separation at high Reynolds number which is out of reach…

Fluid Dynamics · Physics 2025-05-29 Piotr Kamiński , Artur Tyliszczak , Witold Elsner , Paweł Niegodajew

With the aim of providing a first step in the quest for a reduction of the aerodynamic drag on the rear-end of a car, we study the phenomena of separation and reattachment of an incompressible flow focusing on a specific aerodynamic…

Fluid Dynamics · Physics 2019-02-28 Marco Martins Afonso , Philippe Meliga , Eric Serre

The linear stability of stratified two-phase flows in rectangular ducts is studied numerically. The linear stability analysis takes into account all possible infinitesimal three-dimensional disturbances and is carried out by solution of the…

Fluid Dynamics · Physics 2020-04-09 Alexander Gelfgat , Neima Brauner

The optimal control of a globally unstable two-dimensional separated boundary layer over a bump is considered using augmented Lagrangian optimization procedures. The present strategy allows of controlling the flow from a fully developed…

Fluid Dynamics · Physics 2018-03-14 Pierre-Yves Passaggia , Uwe Ehrenstein

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The imposed strain creates a counterflow that stretches…

Fluid Dynamics · Physics 2022-12-14 Jonathan L. Palafoutas , William A. Sirignano

Counter-streaming systems are a canonical model for beam-plasma instabilities, such as the filamentation instability, which is critical in high energy density physics. However, scenarios involving intersecting fast electron beams break the…

Plasma Physics · Physics 2025-07-08 Xu Liu , Dong Wu , Jie Zhang

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

The main objective of this article is to derive a mathematical theory associated with the nonlinear stability and dynamic transitions of the basic shear flows associated with baroclinic instability, which plays a fundamental role in the…

Atmospheric and Oceanic Physics · Physics 2017-05-24 Ming Cai , Marco Hernandez , KiahWah Ong , Shouhong Wang

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot