Nonlinear magneto-vortex dynamo in an obliquely rotating ternary hybrid nanofluid driven by a small-scale non-helical force

We develop a nonlinear theory of magneto-vortex dynamo in an obliquely rotating ternary hybrid nanofluid (Galinstan/Ag (silver)/CNT (carbon nanotubes)/graphene) driven by a small-scale non-helical force. Using multiscale asymptotic expansions in the small Reynolds number R≪1, we derive closed nonlinear equations for the large-scale vortex and magnetic fields. The effective dimensionless parameters, such as the rotation parameter D, Chandrasekhar number Q, magnetic Prandtl number Pm, solutal Rayleigh number RC, and Lewis number Le, are expressed analytically through the nanoparticle volume fractions and morphology-dependent mixture ratios A, B, and S. Linear analysis identifies two coupled instabilities: a hydrodynamic α-effect and a magnetohydrodynamic αH-effect, whose competition produces two distinct dynamo regimes controlled by nanoparticle composition. In the nonlinear stationary limit, the magnetic subsystem supports two types of structures: spatially localized kinks and nonlinear periodic waves, whose existence and spatial scales are predicted within the present effective-medium model.