Stability of obliquely driven cavity flow

The linear stability of the incompressible flow in an infinitely extended cavity with rectangular cross-section is investigated numerically. basic driven by a lid which moves tangentially, but at yaw respect to edges cavity. As result, superposition classical recirculating two-dimensional lid-driven orthogonal wall-bounded Couette flow. Critical Reynolds numbers computed analysis are found be significantly smaller than data previously reported literature. This finding confirmed independent nonlinear three-dimensional simulations. critical number as function angle discussed for representative aspect ratios. Different instability modes found. Independent angle, dominant mechanism based on local lift-up process, i.e. amplification streamwise perturbations advection momentum perpendicular sheared For small angles, centrifugal, similar spanwise component velocity becomes dominant, vortex structures mode become elongated direction bounded process becoming even more important. In this case made possible residual part providing feedback between vortices and (streaks) they promote. limit when approaches increases very strongly.