Numerical evaluation of interfacial area concentration using the immiscible lattice gas Original Research Article

The phase separation in a Couette flow and the mixing of two phases in a cavity flow are simulated numerically using the immiscible lattice gas, which is one of the discrete methods of using particles to simulate two-phase flows. The interface is defined as the lattice sites between two phases, and the interfacial area concentration is evaluated in the steady state. In the Couette flow, the interfacial area concentration increases slightly with an increase in the wall speed. It is shown in the cavity flow that the interfacial area concentration increases largely with an increase in the wall speed. Macroscopic velocity fields in the two flows are in good agreement with analytical or numerical solutions of the Navier–Stokes equations. The interfacial area concentration is found to be correlated with the wall speed for the two flows, and the applicability of particle simulation methods to the numerical evaluation of the interfacial area concentration is indicated.