On the linear stability of a circular drop translating in a Hele-Shaw cell

Nivedita R. Gupta; Ali Nadim; Hossein Haj-Hariri; Ali Borhan

doi:10.1006/jcis.1999.6375

On the linear stability of a circular drop translating in a Hele-Shaw cell

Nivedita R. Gupta, Ali Nadim, Hossein Haj-Hariri, Ali Borhan

Chemical Engineering

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5 Scopus citations

Abstract

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 circular shape is linearly stable.

Original language	English (US)
Pages (from-to)	338-340
Number of pages	3
Journal	Journal of Colloid And Interface Science
Volume	218
Issue number	1
DOIs	https://doi.org/10.1006/jcis.1999.6375
State	Published - Oct 1 1999

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Biomaterials
Surfaces, Coatings and Films
Colloid and Surface Chemistry

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10.1006/jcis.1999.6375

Cite this

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abstract = "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 circular shape is linearly stable.",

author = "Gupta, \{Nivedita R.\} and Ali Nadim and Hossein Haj-Hariri and Ali Borhan",

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AU - Nadim, Ali

AU - Haj-Hariri, Hossein

AU - Borhan, Ali

N1 - Funding Information: This work was supported by NASA Grant NAG. 3-1916.

PY - 1999/10/1

Y1 - 1999/10/1

N2 - 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 circular shape is linearly stable.

AB - 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 circular shape is linearly stable.

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On the linear stability of a circular drop translating in a Hele-Shaw cell

Abstract

All Science Journal Classification (ASJC) codes

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