An analytical approach to identify fluid flow separation and re-attachment in a collapsible channel

The performance of a one-dimensional model that describes the dynamic behavior of a collapsible channel is tested for low Reynolds number flow. Systems of this type are of interest because of their similarity to physiological fluid flow in veins and arteries. Criteria to locate the points of flow separation and flow re-attachment under certain fluid flow conditions are introduced and a numerical approach to provide an approximate analytical solution is demonstrated.