The deformation of a ferrofluid drop under a uniform magnetic field

This paper investigates axisymmetric shapes of a ferrofluid drop immersed in a uniform magnetic field. Approximate solutions are constructed for the governing nonlinear boundary value problem using the domain perturbation method. Bifurcation and turning points are located by applying a special type of Hermite–Padé approximation. •The deformation of a ferrofluid drop under a uniform magnetic field has been studied.•The domain perturbation method has been used to determine equilibrium configurations.•Bifurcation and turning points has been performed using a special Hermite–Padé approximation.