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On the stability of non-linear convection in a hele-shaw cell

✍ Scribed by Oddmund Kvernvold

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
540 KB
Volume
22
Category
Article
ISSN
0017-9310

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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