AuthorsØ. Evju and K. Mardal
EditorsA. Quarteroni
TitleOn the Assumption of Laminar Flow in Physiological Flows: Cerebral Aneurysms As an Illustrative Example
AfilliationScientific Computing, Center for Biomedical Computing (SFF), Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeBook Chapter
Year of Publication2015
Book TitleModeling the Heart and the Circulatory System
Secondary TitleMS&A
Chapter7
Series Volume14
Pagination177-195
PublisherSpringer International Publishing
Abstract

In physiological fluid flows, except for in the heart and the aorta, the Reynolds numbers are moderate (below 1000). This is far below the typical point of transition in pipe flow, which occurs around Reynolds number 2300. Because of this, laminar flow is commonly assumed in the modelling of these flows, resulting in computational methods tailored for this flow regime.

This chapter presents a critical review of this assumption, and both clinical and numerical evidence of transitional physiological flows are presented. The pulsatility and complex geometries in physiological flow are highlighted as the main reasons for a lower transition point in physiological flows.

Furthermore, we discuss the threshold of transition in a particular case of an aneurysm with respect to resolution, Reynolds number and non-Newtonian viscosity modelling.