Mathematical modelling of differential permeability of carbon nanotubes

We study permeability of a porous element in a carbon filter - the carbon nanotube, as well as the possibility of applying this structure in the process of natural gas components separation. The filtering effect is based on intermolecular interaction between the carbon nanotube elements and molecules and atoms of various substances in a gaseous state. With respect to these graphene structures we study the internal dynamics of hydrogen, oxygen, helium, and methane molecules. The geometrical dimensions of the tubes providing differential gas permeability of components are found.