8 - Magnetic nanoparticles transport in porous media

Abstract

This chapter presents the mathematical modeling of magnetic nanoparticle transport with single-phase flow in porous media under the effect of an external magnetic field. We developed a mathematical model for the transport of magnetic nanoparticles in a two-phase flow, followed by the development of a corresponding numerical solution. Finally, we introduce analytical solutions to the single-phase case. The rest of this chapter is organized as follows: Section 8.3 presents the mathematical modeling of the transport of magnetic nanoparticles; while Section 8.4 focuses on the single-phase case, the two-phase case is provided in Section 8.5 with numerical solutions. Finally, analytical solutions are presented in Section 8.6.