𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Linear Stability of a Circular Drop Translating in a Hele–Shaw Cell

✍ Scribed by Nivedita R Gupta; Ali Nadim; Hossein Haj-Hariri; Ali Borhan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
51 KB
Volume
218
Category
Article
ISSN
0021-9797

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Stability of the Shape of a Viscous Drop
Stability of the Shape of a Viscous Drop under Buoyancy-Driven Translation in a Hele-Shaw Cell
✍ Nivedita R. Gupta; Ali Nadim; Hossein Haj-Hariri; Ali Borhan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 134 KB

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

Numerical simulations of interfacial ins
Numerical simulations of interfacial instabilities on a rotating miscible droplet in a time-dependent gap Hele–Shaw cell with significant Coriolis effects
✍ Chen-Hua Chen; Ching-Yao Chen 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 260 KB

## Abstract Interfacial instability of a rotating miscible droplet with significant Coriolis force in a Hele–Shaw cell is simulated numerically. The influences of the relevant control parameters are first discussed qualitatively by fingering patterns. More vigorous fingerings are found at higher ro