Non-linear effects in a closed rotating radial Hele-Shaw cell

This work reports high precise Computational Fluid Dynamics results for interface patterns for an incompressible binary fluid system in a rotating circular Hele-Shaw cell. In the initial set-up, the fluids with high and low density occupy, respectively, an inner circle and the remaining outer ring centered with the cell. Once the simulations take into account all non-linear terms in the equations of motion, one single three-dimensional model can be implemented to explore quite different flow regimes by an adequate choice of angular velocity and model parameters. Quantitative and qualitative results, obtained with the help of two grids differing only on the mesh length, are compared with those derived from experiments, linearized analytical expressions, and specific purposes numerical codes.