Perturbation Method applied to Pipe Flow of a Ferrofluid in an Oscillating Magnetic Field Yesyani Setyono
A ferrofluid can respond to a magnetic field. It is frequently made from small, nano-sized particles of magnetite, suspended in an oil with a surfactant added to keep the particles from agglomerating. When such a fluid flows through a tube with an axial magnetic field applied, oscillating in time, the pressure drop increases from that expected for a Newtonian fluid. This has been measured and studied. In the analysis, though, a time-averaged torque is used in order to calculate a time-averaged velocity. The goals of this project are to derive perturbation equations for the time-averaged solution and a small, time-varying solution, to solve it in Comsol, and to compare the results to determine if the time-averaged equations are accurate. |
