Mathematical model of the process of mixing and separation in a microfluid channel with five outlets

Abstract

Abstract The article presents the results of mathematical modeling in a two-dimensional formulation of the mixing process by mutual diffusion and separation of flows of Newtonian fluids in a microfluidic mixing channel with five outlets. Branches are used to separate flows into fractions with a given concentration of one of the components in the mixture. The diffusion process occurs in a laminar flow regime, without chemical and thermal interaction. The mixture flow model was set up in a two-dimensional formulation. One component of the mixture flows through the main channel 1 mm wide, then at a distance of 5 mm from the entry point to the channel perpendicular to it, there are two more entrances also 1 mm wide, through which the second component is fed. At the outlet, there are five taps with dimensions of 0.2 mm to take the mixture of the desired concentration. Four outlets for the intake of the mixture are located opposite each other in pairs. Liquids with the physical characteristics of water and ethyl alcohol were taken as miscible components. The problem was solved using the ANSYS-Fluent software package.