Global instability of viscous fingering in a Hele–Shaw cell: formation of oscillatory fingers
1991 ◽
Vol 2
(2)
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pp. 105-132
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This work deals with the global instability mechanism of viscous fingering in a Hele–Shaw cell with the inclusion of surface tension. We investigate the interaction and propagation of travelling waves in the system, and obtain two discrete sets of global wave modes: symmetrical modes and anti-symmetrical modes. We call the instability mechanism determined by these global modes the global trapped wave (GTW) instability. A unique global, neutrally stable state of the system is found; it explains the formation of the narrow, oscillatory fingers discovered by Couder el al. (1986) and by Kopf-Sill & Homsy (1987).
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2017 ◽
Vol 228
(4)
◽
pp. 449-462
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2000 ◽
Vol 409
◽
pp. 273-308
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Keyword(s):
Keyword(s):