Diffusion Processes at Nanoscale

It is well-known that many properties of nanoparticles, such as luminescence, photostability, optical radiation efficiencies and electric properties among others, are size dependent. Hence, the ability to create nanoparticles of a specific size is crucial. Starting from a mathematical description of the nanoparticle growth process and guidelines for efficient growth strategies, I will show a specific practical application of nanoparticles, namely targeted drug delivery. The physical situation modelled involves the motion of a non-Newtonian nanofluid subject to an external magnetic field and an advection–diffusion equation for the concentration of the nanoparticles in the fluid. The ultimate goal is to determine strategies to maximise drug delivery to a specific site.