Red blood cells during their motion through the vascular system show different dynamic shapes such as slipper, croissant, tank-treading etc.  These dynamic shapes make the simulations of RBC motion and the related phenomena very complicated. In this project, we prepare a HPC code for 3D finite volume method on unstructured mesh to study the species transport in the blood flow. Figure shows different shapes of RBC and computational features such as mesh deformation, supermesh construction and species transport through RBC.

A layer of Polyelectrolytes grafted on the walls of the channel is called as Polyelectrolyte layer. This layer increases the thickness of the electric double layer (EDL) in comparison to the walls without the grafting of such layer. The increased EDL thickness is beneficial for the number of phenomena which depend on electroosmotic flow or streaming potential. One such important phenomenon is electroosmotic mixing. In this project, we test the influence of polyelectrolyte layer on the electroosmotic mixing in different applications. One application is the rotating channel flow and the other one is channel grafted with patterned polyelectrolyte layers. For the first study, we implemented the Variational Calculus approach and for the later one, we used the numerical solution of stream-function/vorticity formulation.