NEUTRAL STABILITY OF THE FLOW IN A TOROIDAL PIPE etc15 Tracking Number 416Presentation: Session: Instability and Transition 6 Room: Room A Session start: 15:00 Thu 27 Aug 2015 Jacopo Canton jcanton@mech.kth.se Affifliation: Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden Ramis Orlu ramis@mech.kth.se Affifliation: Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden Philipp Schlatter pschlatt@mech.kth.se Affifliation: Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, Stockholm, Sweden Topics: - Instability and transition Abstract: This work is concerned with the numerical investigation of the linear stability properties of the viscous, incompressible flow inside a toroidal pipe. A Hopf bifurcation is found and tracked in phase space, showing that the flow is modally unstable even at extremely low curvatures. The bifurcation and the eigenfunctions associated with it are analysed as a function of the two parameters governing the flow, i.e. the Reynolds number, Re, and the curvature, δ. For all curvatures, the critical Reynolds number is found to be about 3000. |