Passive Scalar Advection in Micro Fluidic Device

The dynamics of passive scalar advection has been modeled with a set of partial differential equations. The study of the passive scalar advection in a micro fluidic device has been observed. Numerical simulation of the scalar advection has been established from the model equation. The advection of the diluted fluid inside the micro-device occurred due to the pressure gradient of the fluid. A set of nonlinear partial differential equations has been solved numerically for the advection process. Splitting based technique has been developed to simulate the passively advected scalar field. The technique has been observed that saves computational time, requires less computer memory and workable with large Peclet number.