Prediction of Degree of Mixing for Insoluble Solution with Vortex Index in a Passive Micromixer

The `Mixing Index()` is used as a conventional guidance measuring the degree of mixing for multiphase flows. For the case when insoluble solutions flow in a passive micromixer, a new method to calculate is proposed. The `Vortex Index()` is suggested and formulated. We infer that relates to the degree of chaotic advection. Various arbitrary shaped microchannels were tested to calculate the , and then a simple algebraic equation, $D_I