Nonlinear stability characteristics of the pressure‐gradient driven flow between walls in a rotating system under the influence of the Coriolis force

Abstract

The paper addresses the question of the disturbance propagation when the plane channel flow on a rotating system is under the influence of the Coriolis force. The problem is approached through the method of Stewartson and Stuart (1971) to handle bifurcation characteristics. It starts from solving the linear (eigenvalue) problem and extends the same to handle growing distubances in the vicinity of the neutral surface. Solution for the problem addressed over the range of flow parameters characterised by the dominant physical mechanism affecting transition, viz. the Tollmien-Schlichting mechanism or the Coriolis force mechanism, will be presented..