[Show abstract][Hide abstract] ABSTRACT: A linear partial differential equation describing the evolution of an initial disturbance of a flat free surface of a thin
layer of a viscous magnetic fluid covering a horizontal plate in the presence of a uniform magnetic field, is derived within
a system of ferrohydrodynamic and magnetostatic equations. The effect of magnetizing the plate on the stability of the flat
free surface is investigated. An estimate is obtained for the minimum value of the tangential component of the magnetization
vector of the fluid sufficient to radically alter the pattern of the final breakup of the continuous layer.
[Show abstract][Hide abstract] ABSTRACT: In the framework of the small amplitude Rayleigh–Taylor instability model, one derives an equation describing an evolution of a free surface shape of a thin layer of a viscous magnetic fluid located on the lower side of a horizontal flat plate under a uniform tangential magnetic field. The analytical expressions for a velocity field and a time-dependent pressure perturbation in the fluid layer are obtained. The influence of the magnetic field upon the Rayleigh–Taylor instability is examined. Obtained theoretical results are compared with the experimental observations of the final stage of the disintegration of the layer.
Journal of Magnetism and Magnetic Materials 08/1999; 202(2-3-202):547-553. DOI:10.1016/S0304-8853(99)00377-7 · 1.97 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We consider a viscous magnetic fluid layer in a uniform horizontal magnetic field. The upper boundary of the layer is a horizontal rigid wall, and the lower boundary is a free surface. It is assumed that at the initial instant the free surface represents a randomly weakly deformed horizontal plane. A dispersion relation for the waves in a layer of arbitrary thickness is obtained within the framework of the linearized system of ferrohydrodynamic equations describing the evolution of spatial perturbations. We investigate theoretically and experimentally the effect of tangential magnetic field on the breakdown of a thin layer.
[Show abstract][Hide abstract] ABSTRACT: The problem of a magnetic liquid which completely fills a vertical cylindrical cavity in an undeformable horizontal layer
of a magnet having the same magnetic properties as the liquid is considered. The entire system is immersed in a uniform vertical
magnetic field. in a linear formulation of the problem an approximate solution in the form of series is obtained for the evolution
of an initial small deviation of the free surface of the liquid from its flat equilibrium shape. An experiment is performed
which shows that the initially flat free surface takes on a stable domed shape as the field strength is increased (from zero)
and that a further increase in the field in a certain restricted range leads to the formation of an annular corrugation. The
structures observed, which are the result of the nonlinear stage in the development of the initial perturbation, are qualitatively
similar to the first two modes of the solution obtained.