TY - JOUR

T1 - The pulsatile flow of Oldroyd-B fluid in a multi-stenosis artery with a time-dependent wall

AU - Javadzadegan, A.

AU - Fakhimghanbarzadeh, B.

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this study, the fundamental problem of unsteady blood flow in a tube with multi-stenosis is studied. An appropriate shape of the time-dependent multi-stenosis which is overlapping in the realm of formation of arterial narrowing is constructed mathematically. Blood is considered as a viscoelastic fluid characterized by the Oldroyd-B model. For the numerical solution of the problem, which is described by a coupled, non-linear system of partial differential equations (PDEs), with appropriate boundary conditions, the finite difference scheme is adopted. The solution is obtained by the development of an efficient numerical methodology based on the predictor-corrector method. The effects of parameters such as pulsatility, non-Newtonian properties and the flow time on the velocity components, the rate of flow, and the wall shear stress are investigated through their graphical representations quantitatively at the end of the paper in order to validate the applicability of the present improved mathematical model under consideration.

AB - In this study, the fundamental problem of unsteady blood flow in a tube with multi-stenosis is studied. An appropriate shape of the time-dependent multi-stenosis which is overlapping in the realm of formation of arterial narrowing is constructed mathematically. Blood is considered as a viscoelastic fluid characterized by the Oldroyd-B model. For the numerical solution of the problem, which is described by a coupled, non-linear system of partial differential equations (PDEs), with appropriate boundary conditions, the finite difference scheme is adopted. The solution is obtained by the development of an efficient numerical methodology based on the predictor-corrector method. The effects of parameters such as pulsatility, non-Newtonian properties and the flow time on the velocity components, the rate of flow, and the wall shear stress are investigated through their graphical representations quantitatively at the end of the paper in order to validate the applicability of the present improved mathematical model under consideration.

UR - http://www.scopus.com/inward/record.url?scp=77951680780&partnerID=8YFLogxK

U2 - 10.1243/09544062JMES1810

DO - 10.1243/09544062JMES1810

M3 - Article

VL - 224

SP - 915

EP - 923

JO - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

SN - 0954-4062

IS - 4

ER -