We investigate unilamellar membranes and vesicles composed of an A/B mixture of partially miscible amphiphiles. Assuming a simple bilinear coupling between relative composition and local curvature, and in the strong segregation limit of the A/B mixture, we show for unilamellar open-shape membranes that the competition between sudace tension and curvature results in a phase with a selected perio...

A horizontal layer containing a miscible mixture of two fluids can produce dissipative solitons when heated from below. The physics of the system is described, and dissipative solitons are computed using numerical continuation for three distinct sets of experimentally realizable parameter values. The stability of the solutions is investigated using direct numerical integration in time and relat...

Miscible density-unstable displacement flows in inclined tube K. Alba,1 S. M. Taghavi,2 and I. A. Frigaard1,3,a) 1Department of Mechanical Engineering, University of British Columbia, 6250 Applied Science Lane, Vancouver, British Columbia V6T 1Z4, Canada 2Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109-2136, USA 3Department of Mathematics, University of Bri...

We propose a simple empirical model to describe the Rayleigh–Taylor RT turbulent mixing of immiscible, miscible and stratified fluids. For immiscible fluids, the rate of momentum loss is an invariant of the flow, whereas the energy dissipation rate increases linearly with time. Turbulent diffusion, accounted for through temperature fluctuations, does not terminate mixing but slows it down signi...

We study the asymptotic behavior, with respect to high Péclet numbers, of the solutions of the nonlinear elliptic-parabolic system governing the displacement of one incompressible fluid by another, completely miscible with the first, in a porous medium. Using compensated compactness techniques, we obtain the existence of a global weak solution to the nonlinear degenerate elliptic-parabolic syst...

Making use of the fact that perfluorohydrocarbon, and hydrocarbon solvents become miscible at high temperatures, highly pure inorganic nanoparticles capped with fluorous labels have been generated in a one-step synthesis. The procedure involves taking the reactants in a hydrocarbon+perfluorohydrocarbon mixture along with a fluorous reagent and carrying out the reaction at elevated temperatures....