In this paper, spatial linear stability analyses are performed on three flow configurations where rotational effects are present. The first two configurations are the two-dimensional flows along a flat plate and along a curved plate, both with a rotation vector along the spanwise direction. The third configuration is the threedimensional flow over a rotating disk with and without axial inflow. These flows are used as a verification of the extension of the stability analysis code NOLOT to rotating frames. For all these three flows, a perfect matching is observed in comparison with results from the literature for the neutral curves and the eigenfunctions. The present results show that rotation has a considerable effect on the stability of boundary layers. Depending on the intensity and orientation of the rotation vector, stabilization or destabilization of the boundary layer is observed.

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This work is concerned with the numerical study of an unsteady and incompressible flow of an electrically conducting liquid metal inside a pipe of circular cross-section at low Reynolds number. In particular, the aim of this work is to understand better the influence of an external transverse magnetic field on the flow field and the transition between a fully turbulent regime to a fully laminar regime at moderate Reynolds number as the Hartmann increases. For that purpose, direct numerical simulations have been carried out and provide mean velocity profiles, turbulence intensity profiles, physical and numerical dissipation profiles and skin friction data. The obtained results show the damping of turbulence due to the action of the magnetic field and the development of anisotropy in the flow.