WebSAFFMAN-TAYLOR INSTABILITY. In 1950, Taylor pointed out that when two superposed immiscible fluids of differing densities and small viscosities are accelerated in a direction … 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
Hydrodynamic instabilities in miscible fluids - IOPscience
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 … WebWelcome to IST Information Services and Technology to whom executive power is vested
The Saffman–Taylor instability: From the linear to the circular ...
WebAug 8, 2024 · In this paper, a numerical solution for Saffman–Taylor instability of immiscible nonlinear viscoelastic-Newtonian displacement in a Hele–Shaw cell is presented. Here, a nonlinear viscoelastic fluid pushes a Newtonian fluid and the volume of fluid method is applied to predict the formation of two phases. The Giesekus model is considered as … 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. WebFeb 1, 1998 · We study the Saffman-Taylor instability of a non-Newtonian fluid in a Hele-Shaw cell. Using a fluid model with shear-rate dependent viscosity, we derive a Darcy{close_quote}s law whose viscosity depends upon the squared pressure gradient. This yields a natural, nonlinear boundary value problem for the pressure. powerball with 3 numbers