The aim of this study is to provide the modeling and exact analytic solutions for hydromagnetic oscillatory rotating flows of an incompressible Burgers’ fluid bounded by a plate. The governing time-dependent equation for the Burgers’ fluid is different than those from the NavierStokes’ equation. The entire system is assumed to rotate around an axis normal to the plate. The governing equations f...

Weakly nonlinear stability of regimes of free hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries is considered in the Boussinesq approximation. Perturbations are supposed to involve large spatial and temporal scales. Applying methods for homogenisation of parabolic equations, we derive the system of amplitude equations governing the evol...

Nonlinear hydromagnetic two dimensional steady, laminar, boundary layer flow of a viscous, incompressible, electrically conducting and radiating liquid metal, with nonlinear radiation past a porous plate stretching with power-law velocity is analysed in the presence of a variable magnetic field. The liquid metal is assumed to be a gray, emitting, absorbing but non-scattering medium. Governing n...