We derive a set of equations for the dynamics of evolving fluid membranes, such as cell membranes, in the presence of bulk fluids. We model the membrane as a surface endowed with a director field, which describes the local average orientation of the molecules on the membrane. A model for the elastic energy of a surface endowed with a director field is derived using liquid crystal theory. This e...

This paper studies a solid film lying on a liquid layer, which in turn lies on a solid substrate. It is well known that, subject to a compressive membrane force, the solid film wrinkles, dragging the liquid underneath to flow. When the solid film is very thin, the ratio between the number of atoms at the surface and that in the bulk becomes significant, so that surface stress contributes to the...

in this project, eggshell membrane was used as a solid phase extraction sorbent for extraction of morphine followed by hplc analysis. at first, raw eggshell membrane was used and then, because of low adsorption of morphine on untreated eggshell membrane (

the present paper concerns on the selective and very efficient transport of thorium(iv) ions from aqueous solutions through an emulsion liquid membranes composed by paraffin and a surfactant, without carrier requirement. the influence of ph of the external aqueous phase, the surfactant concentration in the membrane phase, the type, and concentration of the acid used in the receiving phase, the ...

this paper focuses on the effects of the addition of an ionic liquid, 1-allyl-3-butylimidazilium bis(trifluoromethane sulfonyl)imide ([abim]tfsi), which has a high affinity for benzene, into the poly(vinyl chloride) (pvc) membrane on the pervaporation characteristics of the removal of benzene from aqueous solutions of dilute benzene. when aqueous solutions of 100～500 ppm benzene were permeated ...

traditional systems for olefin/paraffin separation, like low-temperature distillation, are expensive and very energy consuming, and therefore, alternative separation methods are desired. facilitated transport membranes are new tools for this separation to be substituted in large scale separation of olefin-paraffin mixtures. to design a membrane process for olefin-paraffin separation, equilibriu...

The performance of an optimized tree-type cylindrical-shaped nanoporous fltering membrane proposed in the former study is analytically investigated for varying operational parameter values. Across the membrane thickness, this membrane has two-leveled tree-structured pores including one trunk pore and the multiple branch pores. The physical properties of the surfaces of ...

General contact conditions are developed for lipid membranes interacting with curved substrates along their edges. These include the anchoring conditions familiar from liquid-crystal theory and accommodate non-uniform membranes and non-uniform adhesion between a bulk fluid or membrane and a rigid substrate. The theory is illustrated through explicit solutions and numerical simulations.