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Linear stability analysis of the Hele-Shaw cell with lifting plates

✍ Scribed by S.-Z. Zhang; E. Louis; O. Pla; F. Guinea

Book ID
106259539
Publisher
Springer
Year
1998
Tongue
English
Weight
220 KB
Volume
1
Category
Article
ISSN
1434-6036

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For the buoyancy-driven motion of a drop in a Hele-Shaw cell, a circle is an exact solution for the shape of the drop. The stability of the shape of a circular drop translating in a Hele-Shaw cell under the action of gravity is investigated. It is shown that for nonzero interfacial tension, the circ

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that a circular drop translating in a Hele-Shaw cell under the action of gravity is linearly stable for nonzero interfacial tension. In this paper, we use the boundary integral method to examine the nonlinear evolution of the shape of initially noncircular drops translating in a Hele-Shaw cell. For