Global stability and transient growth in physiological-type flows
Hugh Blackburn
Monash University, Australia
Abstract:
Motivation for this work stems from the need to understand flow dynamics in pulsatile flows in the human arterial system, starting from an understanding of canonical flows and their stability properties. The formulation of global stability and of optimal transient growth problems is introduced with regard to methods suitable for flows with general geometries. These methods are then applied to pulsatile flows in both straight and stenosed tubes. It is shown that such flows can be globally unstable at parameter values appropriate to the human arterial system, and also that exceptionally large transient growth of suitable initial disturbances is possible, leading to bypass transition to turbulence within a single pulse period.