Abstract
The unsteady flow of blood through stenosed artery, driven by an oscillatory pressure gradient, is studied. An appropriate shape of the time-dependent stenoses which are overlapped in the realm of the formation of arterial narrowing is constructed mathematically. A msathematical model is developed by treating blood as a non-Newtonian fluid characterized by the Oldroyd-B and Cross models. A numerical scheme has been used to solve the unsteady nonlinear Navier-stokes equations in cylindrical coordinate system governing flow, assuming axial symmetry under laminar flow condition so that the problem effectively becomes two-dimensional. Finite difference technique was used to investigate 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 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.
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This paper was recommended for publication in revised form by Associate Editor Yang Na
Ashkan Javadzadegan received his B.S. in Mechanical Engineering from University of Tabriz, Iran, in 2006. He then received his M.S. degree from University of Tehran, Iran in 2008. His research interests include rheology, heat transfer and Biomass.
Mostafa Esmaeili received his B.S. in Mechanical Engineering from University of Buali Sina Hamadan, Iran, in 2006. He then received his M.S. degree from University of Tehran in 2008. He has been accepted into the Ph.D program at Sharif University of Technology in 2009. His research interests include Biofluidics, rheology, micro and nanofluidics and MHD flow.
Sahand Majidi received his B.S. in Mechanical Engineering from Khaje Nasir Toosi University of Technology (K.N.T.U), Tehran, Iran, in 2006. He then received his M.S. degree from the University of Tehran in 2008. His research interests include rheology, heat transfer and porous media.
Babak Fakhimghanbarzadeh received his B.S. in Mechanical Engineering from University of Tabriz, Iran, in 2006. He then received his M.S. degree from Sharif University of Technology in 2008. His research interests include Exergoeconomics, Biomass.
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Javadzadegan, A., Esmaeili, M., Majidi, S. et al. Pulsatile flow of viscous and viscoelastic fluids in constricted tubes. J Mech Sci Technol 23, 2456–2467 (2009). https://doi.org/10.1007/s12206-009-0713-9
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DOI: https://doi.org/10.1007/s12206-009-0713-9