GOERTLER VORTICES WITH SYSTEM ROTATION - LINEAR-THEORY

The equations which describe a boundary layer on a curved wall in a ro tating system are derived and a linear stability analysis of a basic B lasius velocity profile is performed. Rotation can be either stabilizi ng or destabilizing corresponding to whether a rotation number is nega tive or positive, respectively. The stability boundaries at different rotation numbers and curves of constant positive growth rates are pres ented. It is shown that the flow is completely stabilized when the rot ation number is less-than-or-equal-to -1 in agreement with an inviscid Rayleigh-type analysis. For the cases examined growth rates increase linearly, in the initial phase, with streamwise distance.