Using Eulerlets: a new description of Euler flow for manoeuvring bodies, a talk by Edmund Chadwick (University of Salford)
Annual General Meeting of the IMA North West Branch and Invited Lecture
Consider a manoeuvring body in a fluid such as a plane, submarine, ship, fish, or bird. Consider sufficient high Reynolds number that Euler flow is a good approximation. Unfortunately, traditional Euler flow models have significant theoretical drawbacks, in particular D’Alembert’s paradox and non-uniqueness. We introduce a new Euler model that overcomes these deficiencies thereby making it more amenable to modelling next generation flapping and swimming unmanned, robotic air and sea vehicles.
The new model overcomes existing theoretical drawbacks by considering Euler flow as a near-field flow, and matching asymptotically to a far-field viscous Oseen flow.
Then, D’Alembert’s paradox is resolved, insight into the Kutta condition related to uniqueness is provided, and a new Euler wake flow, called the slip Euler wake is obtained.
The theory is partially verified against uniform flow past a circular cylinder and compared against experiment, and a new set of experimental tests is proposed for an aerofoil, which would provide a definitive test, but not performed.
5.30 ‐ 5.45 pm Light Refreshments
5.45 ‐ 6.00 pm Annual General Meeting
6.00 ‐ 7.00 pm Invited Lecture
No charge is made to attend meetings; non-IMA members are welcome.