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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.

An Explosive Instability of Kelvin-Helmholtz Flows in Ferrofluids: Effect of Periodic Tangential Magnetic Field With Rotation