Indian Journal of Science and Technology

Abstract

Objectives: This article presents the results of simulations that describe the simultaneous effect of tangential stresses and volumetric stresses, in the generation of velocity profiles in a ferrofluid. Methods: The system of ferrohydrodynamic equations was solved by means of finite differences for both the dynamic and the magnetic problem, separately. For the present case, the flow was considered in a channel of square cross-section, under the effect of a rotating magnetic field of high magnitude and frequency. Findings: The results obtained show that the tangential stresses are more representative than the volumetric stresses in the flow generation. Likewise, it was observed that the lateral walls of the geometry generate counter-rotation in the translational velocity profiles, reaching saturation with the increasing of the magnetic field intensity, situation reported in the literature for experimental measurements. Applications: A complete understanding of this process will facilitate the design of new ferrofluid systems under the effect of rotating magnetic fields.

Keywords: Ferromagnetic Fluids, Rotative Magnetic Fields, Spin Theory, Spin Viscosity, Volumetric Stresses