A study of body waves in elastic porous media saturated by two immiscible Newtonianfluids is presented. We analytically show the existence of three compressionalwaves and one rotationalwave in an infinite porous medium. The first and second compressional waves are analogousto the fast and slow compressionalwaves in Biot's theory. The third compressionalwave is associated with the pressure diffe...

We consider the Rayleigh-Taylor instability problem of two initially stationary immiscible viscous fluids positioned with the denser above the less dense in a finite circular cylinder such that their starting fluid-fluid interface is the horizontal midplane of the cylinder. The ensuing linear instability problem has a 5D parameter space defined by the density ratio, the viscosity ratio, the cyl...

This paper presents a conservative numerical method capable of capturing contact line movement for the simulation of capillary dominated flow of two immiscible, incompressible fluids. The interface between the two fluids is represented implicitly by the 0.5–level set of a function varying smoothly from zero to one. The flow of each phase is governed by the incompressible Navier–Stokes equations...

The plate-type coalescer was constructed and tested for the continuous separation of immiscible liquids in micro-scale. Two plates formed the main structure of the coalescer. A flat and rectangular channel was situated between the plates. The material options for the plates were PTFE, stainless steel and glass which formed the contact surfaces for the fluids in the device. The liquid-liquid dis...

This experimental study reveals a counterflow slip at the interface of two immiscible fluids filling sealed vertical cylindrical container whose bottom disk rotates while other walls are stationary. An advanced particle image velocimetry helps us analyze and quantify streamline patterns velocity profiles steady axisymmetric flows both fluids. As angular increases, starting from zero, three chan...

Stirring olive oil and vinegar to make salad dressing creates an emulsion of vinegar droplets in oil. More vigorous stirring gives smaller droplets, while if left to sit the droplets will begin to coalesce and the two fluids will separate. In this vein, Dodd & Ferrante (J. Fluid Mech., vol. 806, 2016, pp. 356–412) present a new analysis of how homogeneous turbulence in a carrier fluid interacts...

We present phenomenology describing the internal structure of a turbulent zone, produced as the result of the push of a heavy fluid into a light one, for the case of immiscible fluids. One finds that the Kolmogorov cascade is realized within a range that grows with time, viz., scales between the mixing zone width, L proportional variant t(2), and the viscous scale, eta proportional variant t(-1...