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Abstract
A twodimensional foam system comprised of three bubbles is studied via simulations with the viscous froth model. Bubbles are arranged in a so called staircase configuration and move along a channel due to imposed driving back pressure. This flowing threebubble system has been studied previously on the basis that it interpolates between a simpler staircase structure (a simple lens, which breaks up via so called topological transformations if driven at high pressure) and an infinite staircase (which sustains arbitrarily large driving pressure without breaking). Depending on bubble size relative to channel size, different solution branches for the threebubble system were found: certain branches terminate (as for the simple lens) in topological transformations and others reach (as for an infinite staircase) a geometrically invariant migrating state. The methodology used previously was however a purely steady state one, and hence did not interrogate stability of the various branches, nor the role of imposing different driving pressures upon topological transformation type. To address this, unsteady state threebubble simulations are realized here. Stable solution branches without topological transformation exist for comparatively low driving pressures. For sufficiently high imposed back pressures however, topological transformations occur, albeit with imposed pressure now influencing the transformation type.
Original language  English 

Article number  20220487 
Number of pages  24 
Journal  Proceedings of the Royal Society A : Mathematical, Physical and Engineering Sciences 
Volume  478 
Issue number  2267 
DOIs  
Publication status  Published  16 Nov 2022 
Keywords
 viscous froth model
 physics of bubbles
 foam rheology
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 1 Active

Foam Improved Oil Recovery: Effects of Flow Reversal
EPSRC (Engineering and Physical Sciences Research Council)
1/08/21 → 30/09/23
Project: Research