Fluid-structure instability

A university course on the instabilities that arise when a fluid flow and a deformable structure interact. (Taught at Cambridge as 4A10, Flow Instability and Fluid-Structure Interaction.)

The HTML and PDF lecture notes may be found at this link.

Here is the learning material:

1. Introduction to stability  
      1.1   Stability in terms of breaking symmetry   (online notes)  
      1.2   The role of positive feedback in symmetry breaking   (online notes)  
      1.3   The state and state variables   (online notes)  
      1.4   Dynamics governing the evolution of state   (online notes)  
      1.5   The steady state   (online notes)  
      1.6   Perturbation of the steady state   (online notes)  
      1.7   Linearization   (online notes)  
      1.8   A word about non-dimensionalization   (online notes)  
      1.9   Normal modes and exponential growth   (online notes)  
      1.10   Sufficient condition for instability   (online notes)  
      1.11   Conclusion   (online notes)  
2. Simple models for structures  
      2.1   Lumped mass-spring-damper   (online notes)  
      2.2   Pitch and heave   (online notes)  
      2.3   A general structure with a finite number of degrees of freedom   (online notes)  
      2.4   A stretched string or a one-dimensional membrane   (online notes)  
      2.5   Euler beam   (online notes)  
      2.6   Conclusion   (online notes)  
3. Simple models for fluids  
      3.1   Parametrization in the viscous and inviscid limit   (online notes)  
      3.2   Simplified versions of Navier-Stokes   (online notes)  
      3.3   Conclusion   (online notes)  
4. Galloping and flutter  
      4.1   Galloping   (online notes)  
      4.2   Flutter   (online notes)  
      4.3   Conclusion   (online notes)  
5. Vortex induced vibrations  
      5.1   Fluid dynamical instability   (online notes)  
      5.2   Vortex-induced vibrations   (online notes)  
      5.3   Mode locking   (online notes)  
      5.4   Response to vortex shed by identical neighbours   (online notes)  
      5.5   Suppressing vortex-induced vibrations   (online notes)  
      5.6   Conclusion   (online notes)  
6. Conduits and channels  
      6.1   An infinite firehose   (online notes)  
      6.2   An infinite channel with flexible walls   (online notes)  
      6.3   Conclusion   (online notes)  
7. Bibliography  

To be continued …

Fluid Mechanics Fluid-structure interaction

These notes come out of the group's research and publications, browsable by topic. If you would like to work on this material rather than only read it, see the openings.