On the stability of two rigidly rotating magnetic fluid columns in zero gravity in the presence of mass and heat transfer.

摘要: The stability of two rigidly rotating magnetic fluids separated by a cylindrical interface and stressed timely oscillating axial field is investigated. Only axisymmetric disturbances are considered. admits both mass heat transfer. Weak viscous effects on the taken into account so that their contributions demonstrated in boundary conditions. solution value problem leads to transcendental differential equation. It includes periodic coefficient together with modified Bessel functions operators involved as arguments. In absence rotation under assumption small amplitude harmonic field, characteristic equation analyzed means Whittaker's perturbation technique determine transition curves which separate stable from unstable solutions. While presence rotation, method multiple-time scales adopted investigate necessary sufficient conditions for stability. analysis results resonance cases well nonresonance cases. order simplify analysis, solutions only Therefore, discussed through marginal state. Furthermore, considered small. analytical numerically confirmed.