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Lagrangian wall shear stress structures and near-wall transport in high-Schmidt-number aneurysmal flows

Published online by Cambridge University Press:  02 February 2016

Amirhossein Arzani ,
Alberto M. Gambaruto ,
Guoning Chen  and
Shawn C. Shadden
Amirhossein Arzani
Affiliation:
Mechanical Engineering, University of California Berkeley, Berkeley, CA 94720, USA
Alberto M. Gambaruto
Affiliation:
Mechanical Engineering, University of Bristol, University Walk, Bristol BS8 1TR, UK
Guoning Chen
Affiliation:
Computer Science, University of Houston, Houston, TX 77204, USA
Shawn C. Shadden*
Affiliation:
Mechanical Engineering, University of California Berkeley, Berkeley, CA 94720, USA
*
†Email address for correspondence: shadden@berkeley.edu
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Abstract

The wall shear stress (WSS) vector field provides a signature for near-wall convective transport, and can be scaled to obtain a first-order approximation of the near-wall fluid velocity. The near-wall flow field governs mass transfer problems in convection-dominated open flows with high Schmidt number, in which case a flux at the wall will lead to a thin concentration boundary layer. Such near-wall transport is of particular interest in cardiovascular flows whereby haemodynamics can initiate and progress biological events at the vessel wall. In this study we consider mass transfer processes in pulsatile blood flow of abdominal aortic aneurysms resulting from complex WSS patterns. Specifically, the Lagrangian surface transport of a species released at the vessel wall was advected in forward and backward time based on the near-wall velocity field. Exposure time and residence time measures were defined to quantify accumulation of trajectories, as well as the time required to escape the near-wall domain. The effect of diffusion and normal velocity was investigated. The trajectories induced by the WSS vector field were observed to form attracting and repelling coherent structures that delineated species distribution inside the boundary layer consistent with exposure and residence time measures. The results indicate that Lagrangian WSS structures can provide a template for near-wall transport.

JFM classification

Biological Fluid Dynamics: Biological Fluid Dynamics Biological Fluid Dynamics: Blood flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 790 , 10 March 2016 , pp. 158 - 172
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Copyright
© 2016 Cambridge University Press 

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