Bulletin of the American Physical Society
77th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 24–26, 2024; Salt Lake City, Utah
Session C01: Interact: Geophysical and Astrophysical Fluids
10:50 AM,
Sunday, November 24, 2024
Room: 155 B
Chair: Steven Tobias, University of Leeds
Abstract: C01.00007 : Volcanic fissure localisation: Thermoviscous focussing in non-uniform geometries*
Presenter:
Jesse Taylor-West
(University of Bristol)
Authors:
Jesse Taylor-West
(University of Bristol)
Edward W Llewellin
(Durham University)
These results have demonstrated non-uniqueness of steady-state solutions, and explored the instability of solutions to non-planar perturbations. In this talk I will extend these results to non-uniform fissure width, as is often the case for real-world volcanic fissures. I will show how the inclusion of a sinusoidal perturbation modifies the bifurcation diagram of the system and the conditions for instability, in particular resulting in a stable flow-focussed solution branch on which the system exhibits significant flow localisation above the critical pressure drop for the onset of the thermoviscous fingering instability. I will further consider the behaviour of a rough fissure geometry containing a spectrum of Fourier modes, discussing the implications for the localisation behaviour of volcanic fissure eruptions.
*This work was supported by the Engineering and Physical Sciences Research Council, UK, via the National Fellowship in Fluid Dynamics scheme (EP/X028011/1).
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