منابع مشابه
Control of viscous fingering patterns in a radial Hele-Shaw cell.
We study numerically and experimentally the dynamics and control of viscous fingering patterns in a circular Hele-Shaw cell. The nonlocality and nonlinearity of the system, especially interactions among developing fingers, make the emergent pattern difficult to predict and control. By controlling the injection rate of the less viscous fluid, we can precisely suppress the evolving interfacial in...
متن کاملSimulation of Hierarchical Viscous Fingering Pattern in Lifting Hele-Shaw Cell
Viscous fingers in the lifting Hele-Shaw cell form a hierarchical pattern due to competition between growing fingers in a converging geometry. If the defending fluid is visco-plastic, a permanent three-dimensional pattern is formed, which is usually approximated as quasi-two-dimensional. We present here a Monte-Carlo simulation which attempts to reproduce the real 3-dimensional pattern in recta...
متن کاملAnalytical approach to viscous fingering in a cylindrical Hele-Shaw cell.
We report analytical results for the development of the viscous fingering instability in a cylindrical Hele-Shaw cell of radius a and thickness b. We derive a generalized version of Darcy's law in such cylindrical background, and find it recovers the usual Darcy's law for flow in flat, rectangular cells, with corrections of higher order in b/a. We focus our interest on the influence of the cell...
متن کاملImperfect Hele - Shaw cells
2014 The covering surfaces of a Hele-Shaw cell may be roughened mechanically, or modified by random chemical patches which change the wetting properties. We discuss first the quasi-static injection of a single fluid (with a finite contact angle 03B8e) in an imperfect cell. The shape of the injected region depends critically on a dimensionless number i (ratio of the boundary energy 03C4 over the...
متن کاملInterfacial elastic fingering in Hele-Shaw cells: a weakly nonlinear study.
We study a variant of the classic viscous fingering instability in Hele-Shaw cells where the interface separating the fluids is elastic, and presents a curvature-dependent bending rigidity. By employing a second-order mode-coupling approach we investigate how the elastic nature of the interface influences the morphology of emerging interfacial patterns. This is done by focusing our attention on...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 1986
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112086001088