Stability of plane Couette–Poiseuille flow

Abstract

The stability of a two-dimensional Couette-Poiseuille flow is investigated. The primary unidirectional flow is between two infinite parallel plates, one of which moves relative to the other. The results for the case of Poiseuille flow agree with Lin's results and all flows for which the plate velocity exceeds 70% of the maximum velocity of the Poiseuille component of flow are found to be stable for all finite Reynolds numbers. Results of intermediate cases are also obtained.