ИСТИНА

We report the derivation of a dispersion equation of linear inviscid surface waves on a deep ferrofluid of nonlinear magnetization submitted to a tilted magnetic field. Using the obtained dispersion equation we introduce some auxiliary function of wave vector components . The components of magnetization vector, the gravity acceleration and physical properties of the considered ferrofluid are parameters of this function. Modular surface is symmetrical about the coordinate planes . In contrast to [1], the calculation of critical wave number of Rosensweig instability is reduced to searching the point of minimum of . Making use of , and applying the magnetization law a nonlinear algebraic equation for is derived. Numerical calculations in the case of Langevin’s magnetization curve show an essential stabilizing effect due to longitudinal component of the field.