Drop separation by numerical solution of the Navier-Stokes equation

A numerical model of separating drop behavior was constructed and tested by simulation, on a general purpose digital computer, of a hypothetical two-immiscible-phase system. The model used the Marker-and-Cell (MAC) method to solve the unsteady state Navier-Stokes (momentum balance) equation with incompressible flow. Input to the model consisted of fluid parameters (density, viscosity, interfacial tension), initial conditions (interface profile and velocities), and forcing functions. Simulation results consisted of time varying velocity and pressure fields, and all transformations of the interface profile. The test simulation began with a pendant drop possessing the maximum or critical volume. All fluid elements were initially at rest and all pressures were hydrostatic. The equilibrium was disturbed by application of a gravitation pulse. The profile then deformed as the bulk of the drop accelerated into the surrounding medium.