Mathematical modeling and numerical simulations of the motion of nanoparticles in straight tube

Abstract

Nanotechnology is a very important field in science and technology, and research projects in this domain attract considerable funding. The existing research works in nanotechnology deal with chemical, physical, and biological issues or a combination of these fields, but very small number of works has been undertaken on mathematical modeling. Mathematical models can greatly reduce the time involved in experimentation, which in turn reduces the research cost. In this article, we consider the mathematical modeling of the motion of nanoparticles in a viscous flow inside straight tube. Illustrative simulations of the model are provided.