## Abstract

In many engineering systems operating with a working fluid, the best efficiency is reached close to a condition of flow separation, which makes its prediction very crucial in industry. Providing that wall-based quantities can be measured, we know today how to obtain good predictions for two and three-dimensional steady and periodic flows. In these flows, the separation is defined on a fixed line attached to a material surface. The last case to elucidate is the one where this line is no longer attached to the wall but on the contrary is contained within the flow. This moving separation is probably, however, the most common case of separation in natural flows and industrial applications. Since this case has received less attention during the past few years, we propose in this study to examine some properties of moving separation in two-dimensional, unsteady flows where the separation does not leave a signature on the wall. Since in this framework separation can be extracted by using a Lagrangian frame where the separation profile can be viewed as a hyperbolic unstable manifold, we propose a method to extract the separation point defined by the Lagrangian saddle point that belongs to this unstable manifold. In practice, the separation point and profile are initially extracted by detecting the most attracting Lagrangian coherent structure near the wall, and can then be advected in time for following instants. It is found that saddle points, which initially act as separation points in the viscous wall flow region, remarkably preserve their hyperbolicity even if they are ejected from the wall toward the inviscid region. Two test cases are studied, the creeping flow of a rotating and translating cylinder close to a wall, and the unsteady separation in the boundary layer generated by a planar jet impinging onto a plane wall.

## Full Text

### Topics from this Paper

- Separation Profile
- Lagrangian Saddle Point
- Separation Point
- Framework Separation
- Unsteady Flows + Show 5 more

Create a personalized feed of these topics

Get Started#### Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call### Similar Papers

- Journal of Fluid Mechanics
- Aug 25, 2015

- Journal of Fluid Mechanics
- Jul 23, 2004

- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Aug 1, 2015

- Journal of Fluid Mechanics
- Aug 15, 2017

- Physics of Fluids
- Jul 1, 2010

- Physics of Fluids
- Aug 1, 2021

- Journal of Fluid Mechanics
- Jun 10, 2018

- Mar 31, 2003

- Journal of Fluids and Structures
- Nov 1, 2016

- AIAA Journal
- Aug 1, 2019

- Flow, Turbulence and Combustion
- Jan 1, 2002

- Journal of Fluid Mechanics
- May 10, 2022

- Volume 2D: Turbomachinery
- Jun 13, 2016

- Journal of Fluids and Structures
- Aug 1, 1995

### arXiv: Fluid Dynamics

- arXiv: Fluid Dynamics
- May 13, 2021

- arXiv: Fluid Dynamics
- Apr 27, 2021

- arXiv: Fluid Dynamics
- Apr 22, 2021

- arXiv: Fluid Dynamics
- Apr 11, 2021

- arXiv: Fluid Dynamics
- Apr 7, 2021

- arXiv: Fluid Dynamics
- Mar 31, 2021

- arXiv: Fluid Dynamics
- Mar 31, 2021

- arXiv: Fluid Dynamics
- Mar 30, 2021