Haynes_2019_Static.pdf (6.18 MB)
Static capillary structures and their stability
thesisposted on 2023-01-27, 16:06 authored by Matthew Haynes
This thesis examines the static equilibrium shapes and stability of various capillary surfaces. The equilibrium shapes are accurately approximated using asymptotic series solutions in the micro-gravity limit. The stability of two of these capillary surfaces is then examined using an energy functional method and these results corroborated using a linear stability analysis. Finally, a method of improving the stability of a vertical liquid bridge is examined numerically and experimentally. The problems considered in this thesis are motivated by a stent problem described in the rst chapter but, in fact, capillary phenomena are ubiquitous in science, nature and industry and the work here has wide reaching applications.
- Faculty of Science and Engineering
First supervisorBenilov, Eugene
Second supervisorO'Brien, Stephen B.G.
Department or School
- Mathematics & Statistics