Simulations not seen before compare turbulent mixing rates for ideal fluids and for real immiscible fluids with experimental values for the surface tension. The simulated real fluid mixing rates lie near the center of the range of experimental values. A comparison to theoretical predictions relating the mixing rate, the bubble width, and the bubble height fluctuations based on bubble merger mod...

In this paper we prove a certain regularity property of configurations of immiscible fluids, filling a bounded container Ω and locally minimizing the interface energy ∑ i<j cij‖Sij‖, where Sij represents the interface between fluid i and fluid j, ‖ · ‖ stands for area or more general areatype functional, and cij is a positive coefficient. More precisely, we show that, under strict triangularity...

We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier–Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes co...

We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As a critical control parameter is surpassed, small amplitude surface waves bifurcate subcritically toward highly nonlinear ones with twice their amplitude. We ...

this paper provides an overview of how the surface properties of ferromagnetic nanoparticles dispersed in fluids is modified by natural and biocompatible polymers. among common magnetic nanoparticles, magnetite (fe3o4) and maghemite (g-fe203) are popular candidates because of their biocompatibility. natural polymeric coating materials are the most commonly used biocompatible magnetic nanopartic...

The rigid-lid approximation is a commonly used simplification in the study of densitystratified fluids in oceanography. Roughly speaking, one assumes that the displacements of the surface are negligible compared with interface displacements. In this paper, we offer a rigorous justification of this approximation in the case of two shallow layers of immiscible fluids with constant and quasi-equal...

Simulated mixing rates of the Rayleigh-Taylor instability for miscible fluids with physical mass diffusion are shown to agree with experiment; for immiscible fluids with physical values of surface tension the numerical data lie in the center of the range of experimental values. The simulations are based on an improved front tracking algorithm to control numerical surface tension and on improved...

The objective of this study was to examine the pore-scale distribution and morphology of organic immiscible liquid in natural porous media containing three immiscible fluids. High-resolution, threedimensional images of an organic liquid (tetrachloroethene) in both three-phase (water–air–organic liquid) and two-phase (water–organic liquid) systems were obtained using synchrotron X-ray microtomog...

An analysis is made for transient Magnetohydrodynamic (MHD) flow of two immiscible fluids thorough a horizontal channel. The flow above the interface is assumed to be electrically conducting while the other fluid and the channel walls are assumed to be electrically insulating. The partial differential equations governing the flow are solved analytically using two-term periodic and non-periodic ...

This paper provides an overview of how the surface properties of ferromagnetic nanoparticles dispersed in fluids is modified by natural and biocompatible polymers. Among common magnetic nanoparticles, magnetite (Fe3O4) and maghemite (g-Fe203) are popular candidates because of their biocompatibility. Natural polymeric coating materials are the most commonly used biocompatible magnetic nanopartic...