NUMERICAL SIMULATION OF TIME-DEPENDENT NON-NEWTONIAN NANOPHARMACODYNAMIC TRANSPORT PHENOMENA IN A TAPERED OVERLAPPING STENOSED ARTERY

Nanofluids are becoming increasingly popular in novel hematological treatments and in advanced nanoscale biomedical devices. Motivated by recent developments in this area, a theoretical and numerical study of heat and mass transport through a tapered stenosed artery in the presence of nanoparticles is described for unsteady pulsatile flow. An appropriate geometric expression is employed to simulate the overlapping stenosed arterial segment. The Sisko non-Newtonian model is employed for hemodynamic rheology. Buongiorno's formulation is employed to model nanoscale effects. The two-dimensional nonlinear, coupled equations are simplified for the case of mild stenosis. An explicit forward time central space (FTCS) finite difference scheme is employed to obtain a numerical solution of these equations. Validation of the computations is achieved with another numerical method, namely, the variational finite element method (FEM). The effects of various emerging rheological, nanoscale, and thermofluid parameters on flow and heat/mass characteristics of blood are shown via several plots and are discussed in detail. The circulating regions inside the flow field are also investigated through instantaneous patterns of streamlines. The work is relevant to nanopharmacological transport phenomena, a new and exciting area of modern medical fluid dynamics which integrates coupled diffusion, viscous flow, and nanoscale drug delivery mechanisms.