Shear stress in arterial stenoses : a momentum integral model

Reese, Jason and Thompson, David S. (1998) Shear stress in arterial stenoses : a momentum integral model. Journal of Biomechanics, 31 (11). pp. 1051-1057. ISSN 0021-9290

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Abstract

A mathematical model is developed to investigate blood flow in arterial stenoses up to Reynolds numbers of 1000. The approach is based on Thwaites' method, normally used to treat laminar boundary layer development over a body in a freestream. The model is applicable to any axisymmetric stenosis geometry in all laminar physiological flow regimes, has a minimum of externally input parameters and is implemented as a short program on a personal computer. Maximum bounds on the expected errors are derived by comparison with known results from Poiseuille flow in a pipe. Agreement with shear stresses reported by other researchers using computational fluid dynamics is within 13% rms. The method has been specifically designed to be a useful predictive tool for biomedical investigators.

Creators(s): Reese, Jason ORCID logoORCID: https://orcid.org/0000-0001-5188-1627 and Thompson, David S.;
Item type:Article
ID code:36495
Keywords:wall shear stress, stenoses, momentum intetgral method, blood flow, mathematical model , arterial stenoses , Mechanical engineering and machinery, Physiology, Bioengineering, Biomedical Engineering, Rehabilitation, Orthopedics and Sports Medicine, Biophysics
Subjects:Technology > Mechanical engineering and machinery
Science > Physiology
Technology > Engineering (General). Civil engineering (General) > Bioengineering
Department:Faculty of Engineering > Mechanical and Aerospace Engineering
Depositing user: Pure Administrator
Date deposited:19 Dec 2011 15:35
Last modified:03 Aug 2020 01:17
Related URLs:
URI:https://strathprints.strath.ac.uk/id/eprint/36495
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