Mathematical models of bubble evolution in a Hele-Shaw Cell
Description
This thesis concerns the mathematical model of moving fluid interfaces in a Hele-Shaw cell: an experimental device in which fluid flow is studied by sandwiching the fluid between two closely separated plates. Analytic and numerical methods are developed to gain new insights into interfacial stability and bubble evolution, and the influence of different boundary effects is examined.
In particular, the properties of the velocity-dependent kinetic undercooling boundary condition are analysed, with regard to the selection of only discrete possible shapes of travelling fingers of fluid, the formation of corners on the interface, and the interaction of kinetic undercooling with the better known effect of surface tension. Explicit solutions to the problem of an expanding or contracting ring of fluid are also developed.
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ID Code: | 63701 |
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Item Type: | QUT Thesis (PhD by Publication) |
Supervisor: | McCue, Scott & Simpson, Matthew |
Additional Information: | Recipient of 2013 Outstanding Doctoral Thesis Award. |
Keywords: | Hele-Shaw, free boundary problem, Saffman-Taylor instability, kinetic undercooling, bubble extinction, ODTA |
Divisions: | Past > QUT Faculties & Divisions > Science & Engineering Faculty Current > Schools > School of Mathematical Sciences |
Institution: | Queensland University of Technology |
Deposited On: | 31 Oct 2013 02:17 |
Last Modified: | 22 Sep 2017 14:42 |
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