Investigation into the stability of a stationary cylindrical column of magnetizable liquid

Shape effect in the magnetostriction of ferromagnetic composite

“…This idea was already known for a spherical drop of magnetized fluid in a homogeneous field [6]; that spherical drop turns into an elongated ellipsoid to decrease the demagnetizing energy. A conducting sphere in an electric field also behaved in the same ways [7].…”

Travelling wave solutions on an axisymmetric ferrofluid jet

“…The system is contained inside a fixed cylindrical container of radius D (see figures 1 and 2). We note that in the experiments of Arkhipenko et al [3] and Bourdin et al [8], the fluids were contained in a rectangular box. However, since axisymmetric interfaces were witnessed, the box must have been of a su cient size to not destroy the axisymmetry of the problem.…”

“…Ferrofluids are used in a variety of industrial applications, such as measuring the acceleration and inclination of oil drills, and sealing pump shafts (Raj et al 1995). Since the analytic work and experiments of Bashtovoi & Krakov [4] and Arkhipenko et al [3], it has been known that magnetic fields can stabilize the Plateau-Rayleigh instability when considering a column of ferrofluid. This is done by coating a copper wire with ferrofluid and passing a current through the wire, inducing an azimuthal magnetic field.…”

“…The problem is characterised by a magnetic Bond number B, defined in section 2, which comes from a ratio of magnetic to capillary forces. Arkhipenko et al [3] show that when B > 1, the Rayleigh-Plateau instability is stabilized for all wavelengths. This formulation is of particular interest since it allows for axisymmetric solitary wave solutions.…”

Experiments on breakups of a magnetic fluid drop through a micro-orifice

“…On the other hand, studies regarding the breakup dynamics of a ferrofluid drop under the influences by an external field are less comprehensive. Several researchers [17][18][19][20][21][22] calculated the static shape of a magnetic fluid drop in a homogeneous magnetic field by different theoretical approaches. They studied the stretched shape [17][18][19][20] or the breakup [21,22] of a magnetic fluid drop under the influence of an applied magnetic field as well as the interactions and deflections of two magnetic functional fluid drops in a magnetic field.…”