2020 Volume 76 Issue 2 Pages I_131-I_141
Computations of the two dimensional rectangular container filling are conducted by injecting the highly viscous Newtonian fluids, vertically downward through an aperture on the top boundary. In order to simultaneously calculate the low-viscosity gas surrounding the highly viscous liquid, phase-averaged governing equations are used for two immiscible incompressible fluids with different densities and viscosities. The governing equations are discretized with the finite volume method in the collocated grid system. In particular, the estimation methods of viscosity, density and velocities on computational cell boundaries in the discretized governing equations are investigated and their effectiveness was confirmed through the application to the dam-break flows. As a result of the computations of the container filling with the highly viscous liquid, it was confirmed that the proposed method enables us to reasonably predict flow patterns of the highly viscous liquid, such as steady filling, spreading, splashing and buckling, which arise in the specific relationships between Reynolds number and the ratio H/d, where H is the height of the container and d is the inlet width, as reported in the preceding studies.
