Spatial instability of flow in a semiinfinite cylinder with fluid injection through its porous walls

✍ Scribed by Jérôme Griffond; Grégoire Casalis; Jean-Philippe Pineau

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 369 KB
• Volume: 19
• Category: Article
• ISSN: 0997-7546
• DOI: 10.1016/s0997-7546(00)00105-9

✦ Synopsis

In this article, the stability of incompressible pipe flows induced by wall injection is investigated. A local linear spatial theory is applied with a special treatment near the axis due to the choice of the cylindrical coordinates. It shows that the flow is stable near the headwall until it reaches a critical axial position. The flow becomes unstable downstream for a range of frequencies which increases with the distance to the headwall. Unstable two-dimensional and also three-dimensional modes are exhibited. Comparison with the available experimental results confirms the existence of amplified instability waves and the presence of at least some of the predicted modes.