Density Distribution of Binary Liquid in Cylindrical Pore Under Influence of External Field

We solve the problem of calculation of the density distribution of binary liquid mix in a cylindrical pore under an influence of an external field. We use the approximation method of slow inhomogeneity for phenomenological representation of the Helmholtz Free energy of a system. This method gives us possibilities to find solutions for systems with different geometries. The cases of homogeneous gravity potential and inhomogeneous wall potential are analyzed. Introduction The behaviour of binary liquid mix essentially depends on an influence of an outside field and a size of the system. For the first time, this idea was presented by Fisher et al. [1971] for systems n critical point. Further, this idea had been father developed by Privman et al, [1990] for the area whi is far from a critical point with the external field influence. We can observe interesting behaviours of the confined liquid system if external special fields are presented. Different binary componen interactions with the external field and different interactions among components within liquid produce non-equilibrium density distribution of the binary system with different spatial effects are not obvious. This problem is very important in medicine for the process of obtaining natural from medicinal plants. We can model an extraction of natural oil from a porous material as binary liquid mixed process of oil and a resolvent. The task of finding a binary density distribution in a pore with a presence of the external field is very important for the development of modern nanomed and nanotechnology. There is no completely analytical solution of this problem and that is a rea why this problem is quite interesting. There are many theoretical approaches for solving one component density distribution in a confined system with a presence of an external potential ear a ch