Effect of slip on the linear stability of the rotating disk boundary layer

The linear stability of the rotating disk boundary layer with surface roughness is investigated. Surface modeled using slip conditions [M. Miklavčič and C. Y. Wang, Z. Angew. Math. Phys. 55, 235–246 (2004)], which establish concentric grooves, radial isotropic roughness. effect on stationary crossflow Coriolis instabilities analyzed by applying to undisturbed flow disturbances. This analysis builds work Cooper et al. [Phys. Fluids 27, 014107 (2015)], who effects base but applied no-slip condition perturbations. Neutral curves critical parameter settings for linearly unstable behavior are computed several azimuthal length settings. application disturbances has a significant impact stability. In particular, instability undergoes considerable destabilization in instance grooves (i.e., slip) sufficiently large lengths. addition, destabilize when small. Moreover, roughness, stabilizing markedly less than observations (2015)]. Finally, an energy undertaken ascertain physical mechanisms brought about