Abstract
Objectives: The work is to learn the impingement of tangential periodic magnetic field on the interface in the middle of two superposed ferrofluids with the rotation through a nonlinear perturbation analysis. Methods or Statistical Analysis: A nonlinear instability due to streaming superposed ferrofluids stressed by rotation and a periodic tangential magnetic field is examined by employing the mode of multiple scales. The fluids are taken to be incompressible. Using the boundary conditions, the solutions of the linearized equations of motion lead to the linear dispersion equation. Findings: From this work, it is clearly seen the unfolding of amplitude of waves was influenced by an equation of nonlinear Schrodinger. Applications or Improvements: The rotation and a periodic tangential magnetic field have enormous important effects over the stability of the system. Keywords: Dispersion Relation and Schrodinger Equation, Ferrofluids, Linear Dispersion Relation, Method of Multiple Scales, Rotation
Highlights
IntroductionFerrofluids (called magnetic fluids) are stable colloidal cessation of magnetic nanoparticles
Ferrofluids are stable colloidal cessation of magnetic nanoparticles
The electrical conductivity of a ferrofluid was in the same order as that of the liquid carrier, which is typically quite small
Summary
Ferrofluids (called magnetic fluids) are stable colloidal cessation of magnetic nanoparticles. Brownian motion maintains the particles from settling and their surface is coated with a dispersant in order to stop them from sticking together. An applied magnetic field yields a new external parameter that can be stabilize or destabilize the fluid interface producing hydrodynamic instabilities.The liquid carrier in commericially produced ferrofluids are kerosene, toluene, water or one of several other fluids. The electrical conductivity of a ferrofluid was in the same order as that of the liquid carrier, which is typically quite small. The Brownian motion keeps the tiny magnets randomly oriented so the ferrofluid has no natural magnetic moment. Magnetic fluids are used in vacuum which seals around the rotating shafts and in loudspeakers to keep them cool and to damp vibrations. Experiments of magnetic fluids with rotation and magnetic field have shown in a wide range of interesting phenomena
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