Related Experiment Video
Updated: Aug 17, 2026

The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress
Published on: October 31, 2016
A simple model for shear stress mediated lumen reduction in blood vessels
1Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA.
Abstract:
The goal of this paper is to qualitatively describe the dominant flow characteristics associated with shear stress mediated lumen reduction due to atherosclerotic plaque growth. The approach is to develop rate equations for the reduction of the lumen as a function of the shear stress near the intima wall. Elementary, qualitative, models for fully developed laminar and turbulent flows are employed, leading to nonlinear ordinary differential equations. The model provides a qualitative description of one aspect of the long-term reduction, perhaps taking years, of the lumen due to wall growth. This is useful because of the extreme complexity of long-term experiments.
Related Concept Videos
Structure of Blood Vessels
Shearing Stress
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
Thin-Walled Hollow Shafts
Stresses under Combined Loadings
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
Steady, Laminar Flow Between Parallel Plates
Applications of Integration to Find Blood Flow

