Title: Flows in films and over flippers
Description: Three topics in fluid mechanics are dealt with in this dissertation, namely (i) reactive spreading and recoil of oil on water, (ii) free film formation theory and experiment, and (iii) how humpback whale flippers delay stall. Reactive spreading of an oil droplet on water is described in Chapter 1. Small amounts of acid and base were added to the oil and water respectively, such that a surfactant was produced at the interface between the oil and the water, greatly enhancing spreading rates. After the oil drop spreads out to some maximum radius, the drop recoils on a timescale that is indicative of a diffusive process redistributing the surfactant over the entire volume of water. In Chapter 2, the theory of soap film formation by withdrawal from a bath of soapy liquid is reviewed, and the assumptions supporting Frankel's law are challenged. Stress balances that describe film evolution in either extensional or shear flow are rigorously derived and we find that the strength of surface stress terms pick the resulting flow type. With this background in mind, we describe in Chapter 3 how films were made using aqueous solutions of poly(ethylene oxide) or PEO with and without surfactant. The initial thickness of these films agrees well with existing data in the literature for overlapping ranges of the capillary number C a . For larger C a numbers, we observe that (i) the addition of SDS results in thinner films, (ii) films can be made that are thicker than the wire thickness, and (iii) films swell in thickness when the withdrawal process stops. Some potential mechanisms are described to explain the novel swelling phenomenon.

Finally, in Chapter 4, we model the bumpy flipper of a humpback whale as a perturbed elliptic wing with Joukowski profiles of varying chord length, and combine this with lifting line theory as well as experimental stall characteristics of smooth wings. This model shows that the perturbations rearrange the downwash distribution on the wing, smoothing the transition to stall. Bump amplitude dominates the smoothing, while the wavelength of the bumps plays only a small role.