Homogenization in scope of reverse osmosis nano-composite membranes

What is it about?

One of the main goals of this paper is to extend some of the mathematical techniques of some previous papers by the authors showing that some very useful phenomenological properties which can be observed to the nano-scale can be simulated and justified mathematically by means of some homogenization processes when a certain critical scale is used in the corresponding framework. Here the motivating problem in consideration is formulated in the context of the reverse osmosis.

Featured Image

Why is it important?

In the work we consider critical relation between size of the particles and strength of chemical processes on the boundary of this particles. Our result proves that the consideration of the critical case of the scale leads to an homogenized formulation which is equivalent to have a global semipermeable membrane, at the whole part of the boundary Γ1, with a “finite permeability coefficient of this virtual membrane” which is the best we can get, even if the original problem involves a set of membranes of any arbitrary finite permeability coefficients.

Perspectives