[PDF][PDF] Viscous fingering in porous media
GM Homsy - Annual review of fluid mechanics, 1987 - njit.edu
" Viscous fingering" generally refers to the onset and evolution of insta bilities that occur in
the displacement of fluids in porous materials. In most but not all cases, the mechanism of …
the displacement of fluids in porous materials. In most but not all cases, the mechanism of …
Pattern selection in fingered growth phenomena
A variety of non-equilibrium growth processes are characterized by phase boundaries
consisting of moving fingers, often with interesting secondary structures such as …
consisting of moving fingers, often with interesting secondary structures such as …
Viscous fingering in Hele-Shaw cells
PG Saffman - Journal of Fluid Mechanics, 1986 - cambridge.org
The phenomenon of interfacial motion between two immiscible viscous fluids in the narrow
gap between two parallel plates (Hele-Shaw cell) is considered. This flow is currently of …
gap between two parallel plates (Hele-Shaw cell) is considered. This flow is currently of …
Plane Stokes flow driven by capillarity on a free surface
RW Hopper - Journal of Fluid Mechanics, 1990 - cambridge.org
The free creeping viscous incompressible plane flow of a finite region, bounded by a simple
smooth closed curve and driven solely by surface tension, is analysed. The shape evolution …
smooth closed curve and driven solely by surface tension, is analysed. The shape evolution …
A review of one-phase Hele-Shaw flows and a level-set method for nonstandard configurations
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …
Growth of radial viscous fingers in a Hele-Shaw cell
JD Chen - Journal of Fluid Mechanics, 1989 - cambridge.org
A series of experiments are performed in a Hele-Shaw cell, consisting of two parallel closely
spaced glass plates. A liquid (oil or water, both of viscosity of 1.0 cP) is injected at a constant …
spaced glass plates. A liquid (oil or water, both of viscosity of 1.0 cP) is injected at a constant …
Complex variable methods in Hele–Shaw moving boundary problems
SD Howison - European Journal of Applied Mathematics, 1992 - cambridge.org
We discuss the one-phase Hele–Shaw problem in two space dimensions. We review exact
solutions in the zero-surface-tension case, giving a unified account of the Schwarz function …
solutions in the zero-surface-tension case, giving a unified account of the Schwarz function …
[图书][B] Conformal and potential analysis in Hele-Shaw cells
B Gustafsson, A Vasil'ev - 2006 - books.google.com
This monograph presents recent and new ideas arising from the study of problems of planar
fluid dynamics, and which are interesting from the point of view of geometric function theory …
fluid dynamics, and which are interesting from the point of view of geometric function theory …
Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
J Casademunt - Chaos: An Interdisciplinary Journal of Nonlinear …, 2004 - pubs.aip.org
We review recent results on dynamical aspects of viscous fingering. The Saffman–Taylor
instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis …
instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis …
The Saffman–Taylor instability: From the linear to the circular geometry
The Saffman–Taylor fingers are studied in cells that have the form of sectors of a disk. The
less viscous fluid can be injected at the apex (divergent flow) or at the periphery (convergent …
less viscous fluid can be injected at the apex (divergent flow) or at the periphery (convergent …