A dynamical systems analysis of vortex pinch-off

Vortex rings constitute the main structure in the wakes of a wide class of swimming and flying animals, as well as in cardiac flows and in the jets generated by some moss and fungi. However, there is a physical limit, determined by an energy maximization principle called the Kelvin-Benjamin principle, to the size that axisymmetric vortex rings can achieve. The existence of this limit is known to lead to the separation of a growing vortex ring from the shear layer feeding it, a process known as `vortex pinch-off', and characterized by the dimensionless vortex formation number. The goal of this thesis is to improve our understanding of vortex pinch-off as it relates to biological propulsion, and to provide future researchers with tools to assist in identifying and predicting pinch-off in biological flows.

To this end, we introduce a method for identifying pinch-off in starting jets using the Lagrangian coherent structures in the flow, and apply this criterion to an experimentally generated starting jet. Since most naturally occurring vortex rings are not circular, we extend the definition of the vortex formation number to include non-axisymmetric vortex rings, and find that the formation number for moderately non-axisymmetric vortices is similar to that of circular vortex rings. This suggests that naturally occurring vortex rings may be modeled as axisymmetric vortex rings. Therefore, we consider the perturbation response of the Norbury family of axisymmetric vortex rings. This family is chosen to model vortex rings of increasing thickness and circulation, and their response to prolate shape perturbations is simulated using contour dynamics. Finally, the response of more realistic models for vortex rings, constructed from experimental data using nested contours, to perturbations which resemble those encountered by forming vortices more closely, is simulated using contour dynamics. In both families of models, a change in response analogous to pinch-off is found as members of the family with progressively thicker cores are considered. We posit that this analogy may be exploited to understand and predict pinch-off in complex biological flows, where current methods are not applicable in practice, and criteria based on the properties of vortex rings alone are necessary.

Studies on hymenopteran parasitism of Drosophila

Studies on Hymenopteran Parasitism of Drosophila

Flies of the genus Drosophila are subject to attack by a number of parasitic forms. Sturtevant (1921) has listed records of parasitism by protozoa (Leptomonas), fungi (Muiaria and Stigmatomyces), nematodes, mites and v~rious hymenoptera. According to Sturtevant, Perkins (1913) has bred at least five species of hymenoptera, belonging to the proctotrupoid, cynipoid and chalcidoid groups, upon Drosophiline flies. H.S. Smith has bred an unidentified proctotrupoid and a chalcidoid, Pachy crepoideus dubius Ashmead* from both Drosophila melanogaster ani D. hydei. Kieffer ( 1913) has described three species of hymenoptera from Africa collected by Silvestri and stated by him to be parasitic on Drosophila, species not given. They are Trichopria (Planopria) rhopalica (Diapriidae), Ashmeadopria drosophilae (Diapriidae), and the insect which forms the subject matter of the present investigation, Eucoila drosophilae (Figitidae).

There are in addition a number of predacious enemies among wasps, spiders, flies and beetles.

The present account is concerned with parasitism of various species of Drosophila by Eucoila drosophilae Kieff. The wasps were found b y Dr. w. P. Spencer who exposed traps in an effort to collect Drosophila at Long Lake, Ohio, in Sept. 1934 . Drosophila larvae from the trap gave a large number of pupae from which wasps emerged in considerable proportions. Since that time stock s have been maintained in culture on Drosophila melanogaster.