Directional stability of foils and swimming performance measures
Bill Schultz, University of Michigan


Abstract:

This will be an informal conversation about ongoing and proposed future experiments and analyses of swimming.  As such, it will raise more questions than answers. Among those questions are: How can we best determine the directional stability of (rigid and swimming) foils?  How much of swimming stability can be captured by a 2D potential flow analysis of a Joukowsky airfoil? What constraints does this make on experiments?  Can a Floquet-type analysis  be performed for a periodically deforming (swimming) foil? To what extent can an energetics analysis measure swimming performance in replacement of Froude-efficiency arguments?  Answering these questions will determine if fish can sleep while migrating and how they might optimize burst and coast gaits.