Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Magnetic instability induced by a current-carrying wire of ferrofluids confined in a Hele-Shaw cell
Submission Author:
Rafael Menezes de Oliveira , RJ , Brazil
Co-Authors:
Fabiano Carlos, Rafael Menezes de Oliveira
Presenter: Fabiano Carlos
doi://10.26678/ABCM.COBEM2023.COB2023-0911
Abstract
We employ numerical simulations to calculate the shape of the interface separating a nonmagnetic fluid droplet surrounded by a ferrofluid confined in a Hele-Shaw cell. The system is subjected to an azimuthal magnetic field generated by a current-carrying wire. The azimuthal field has a destabilizing effect on the interface and pulls the ferrofluid radially inwards. On the other hand, surface tension tends to stabilize interface deformations. The resulting dynamic behavior and morphological shapes are also influenced by the viscosities of both fluids and the magnetic susceptibility of the ferrofluid. In the current work, we employ an accurate boundary integral method based on the vortex-sheet formalism to examine the nonlinear dynamics and determine these interfacial deformations. For the case in which both nonmagnetic and magnetic fluids have the same viscosities, we analyze how the interplay between magnetic effects and surface tension affects the morphology of the interface. We also investigate the influence of different magnetization responses of the magnetic fluid on pattern formation.
Keywords
Ferrofluids, Hele-Shaw cell, Pattern Formation

