Three-dimensional linear stability analysis of LID-driven MHD cavity flow

We present numerical results of a linear 3-D stability analysis of a square lid-driven cavity flow under the influence of an external magnetic field which is directed parallel to the lid. The Lorentz force has a strong influence on the flow structure, thereby changing number, shape and strength of the eddies inside. Although increasing magnetic fields are able to damp 3-D instability, in a parameter region around Re=3000, several branches of the neutral stabiliy curve do exist. This leads to a non-monotonic behaviour of receptivity to 3-D disturbances as the strength of the magnetic field is increased.