The Stability of Plane Poiseuille Flow in a Finite-Length Channel-Reference-Cited by-同舟云学术

The Stability of Plane Poiseuille Flow in a Finite-Length Channel

Published:2022-01-12 Issue:5 Volume:144 Page:
ISSN:0098-2202
Container-title:Journal of Fluids Engineering
language:en
Short-container-title:

Author:

Xu Lei¹,Rusak Zvi²

Affiliation:

1. Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China

2. Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180

Abstract

Abstract The linear stability of plane Poiseuille flow through a finite-length channel is studied. A weakly divergence-free basis finite element method with streamline upwind Petrov–Galerkin (SUPG) stabilization is used to formulate the weak form of the problem. The linear stability characteristics are studied under three possible inlet–outlet boundary conditions, and the corresponding perturbation kinetic energy transfer mechanisms are investigated. Active transfer of perturbation kinetic energy at the channel inlet and outlet, energy production due to convection and dissipation at the flow bulk provide a new perspective in understanding the distinct stability characteristics of plane Poiseuille flow under various boundary conditions.

Publisher

ASME International

Subject

Mechanical Engineering

Link

https://asmedigitalcollection.asme.org/fluidsengineering/article-pdf/144/5/051302/6820942/fe_144_05_051302.pdf

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4. The Stability or Instability of the Steady Motions of a Perfect Liquid and of a Viscous Liquid. Part II. A Viscous Liquid;Proc. R. Ir. Acad., Sect. A,1907

5. The Stability of Plane Poiseuille Motion,1938

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