Nanoparticles analysis on the blood flow through a tapered catheterized elastic artery with overlapping stenosis
Department of Mathematics, Quaid-i-Azam University 45320, 44000, Islamabad, Pakistan
Accepted: 16 October 2014
Published online: 18 November 2014
This paper is concerned with the analysis of blood through an annulus, bounded between an arterial stenosis and a uniform catheter. The nature of blood through coaxial tubes is considered as that of a nano viscous fluid. The mild stenosis approximation and corresponding boundary conditions are used to obtain analytic expressions for axial velocity, temperature distribution, nanoparticle volume fraction, wall shear stress and resistance impedance to flow. The model is also used to study the consequence of thermophoresis, Brownian motion, local nanoparticle Grashof and local temperature Grashof numbers on the flow by plotting graphs and streamlines. The variation with different flow parameters through tables is also discussed to understand the effects of stenosis height in constricted annular regions.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014