Instability of a viscous liquid of variable density in a vertical Hele-Shaw cell
- 1 April 1960
- journal article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 7 (4) , 501-515
- https://doi.org/10.1017/s0022112060000256
Abstract
Approximate equations of motion, continuity and mass transport are given for a viscous liquid of variable density moving very slowly between vertical and impermeable parallel planes. These equations are used to calculate approximate stability criteria when the liquid is at rest under a vertical density gradient. The results are applicable to the problem of the stability of a viscous liquid of variable density to two-dimensional disturbances in a porous medium.Keywords
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