Saffman–taylor instability
WebThe 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 flow). As in the linear geometry, at large velocities, a unique finger tends to occupy a well determined fraction λ of the cell angular width. This fraction is a function of the angle of … WebAn experiment on the Saffman– Taylor instability with wetting fluids is presented that explores a greater range of capillary numbers than did the original experiment of Saffman and Taylor. It turns out that no clear one-half plateau for the finger size is observed, and that the ensemble of experiments cannot be analysed in terms of a single control parameter.
Saffman–taylor instability
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WebAug 1, 2024 · 1. Introduction. When a low viscosity fluid displaces a high viscosity fluid in a porous medium, there is a hydrodynamic instability at the interface, classically known as the Saffman-Taylor instability or “viscous fingering”. WebApr 23, 2024 · Abstract— The paper is devoted to the simulation of oil displacement by water and the formation of the Saffman–Taylor instability. The problem is solved in two …
Web2024. TLDR. The results indicated that by increasing the anisotropic permeability ratio, the fingers arrive later to the end of the front, instability decrease and more stable flow is obtained, and decreasing the thermal lag coefficient causes to the thermal front stays behind the flow front and increasing the stability of the flow field. 1. PDF. WebAug 1, 2024 · 1. Introduction. When a low viscosity fluid displaces a high viscosity fluid in a porous medium, there is a hydrodynamic instability at the interface, classically known as …
WebFeb 6, 2004 · We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor … The Saffman–Taylor instability, also known as viscous fingering, is the formation of patterns in a morphologically unstable interface between two fluids in a porous medium, described mathematically by Philip Saffman and G. I. Taylor in a paper of 1958. This situation is most often encountered during drainage … See more The Saffman–Taylor instability is usually seen in an axisymmetric context as opposed to the simple planar case derived above. The mechanisms for the instability remain the same in this case, and the selection of the … See more • Kelvin–Helmholtz instability • Darcy's law See more
WebOct 13, 2015 · The Saffman-Taylor instability in a Hele Shaw cell resulted from dyed milk (blue, then yellow) injected into a clear liquid detergent. May 23, 2015. FlowVis@CU. 0. 2015, 2015 Team First, Flow Categories, Flow Vis Techniques, Images, Marked Area, Media, Saffman-Taylor Instability, z Class & Assignment.
Webis unstable if V>V c = (ρ2 −ρ1)g ³ µ1 k1 −µ2 k2 ´ (6.3.29) Too high an extraction rate causes instability which marks the onset of fingers. If the water layer is on top of the oil layer, … the making of the lion king 1994WebJan 23, 2013 · A variant of the classic Saffman-Taylor instability problem is reported, in which the surface tension at the fluid-fluid interface depends on the interfacial curvature. tidewater orange beach for saleWebJan 1, 2024 · In this study, the effect of anisotropy of porous media on Saffman–Taylor instability (viscous fingering instability) of viscoelastic fluids is investigated for the first time. The Oldroyd-B model is used as the constitutive equation of viscoelastic phase. In linear stability analysis, the quasi-steady state approximation and six order ... tidewater orange beach flWebJun 4, 1998 · 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 … tidewater orthopaedic associates incWebDepending on the characteristics of soil particles, their packing and porosity, the boundary of a saturated zone can be stable or instable, exhibiting fingering patterns known as Saffman–Taylor instability. Predicting the onset of stable vs. unstable drainage fronts is of some importance in modelling phreatic zone boundaries. the making of the jungle bookWebJan 1, 2024 · In this study, the effect of anisotropy of porous media on Saffman–Taylor instability (viscous fingering instability) of viscoelastic fluids is investigated for the first time. The Oldroyd-B model is used as the constitutive equation of viscoelastic phase. In linear stability analysis, the quasi-steady state approximation and six order ... the making of the italian jobWebFeb 1, 2024 · The paper studies the influence of initial shape of liquid interface in Hele-Shaw cell on the development of Saffman–Taylor instability. The impact of perturbation parameters of interface is ... tidewater orange beach