Flow structures in physiological conduits

Abstract

The study of topological structures in the case of a peripheral planar bypass graft and a cerebral aneurysm are presented. The Taylor series expansion of the velocity field to first order terms leads to a system of ODEs, the solution to which locally describes the motion of the flow. If the expansion is performed on the wall shear stress, critical points can be identified and the near-wall flow field parallel to the wall concisely described. Furthermore the expansion can be expressed in terms of relative motion and the near-wall convective transport normal and parallel to the wall can be accurately derived on the no-slip domain. © 2011 Springer-Verlag Berlin Heidelberg.