Effect of Slip velocity on Blood Flow in Catheterized Tapered Artery

Geeta Prajapati; S.U. Siddiqui

Geeta Prajapati Department of Mathematics, Harcourt Butler Technological University, Kanpur- 208002, India
S.U. Siddiqui Department of Mathematics, Harcourt Butler Technological University, Kanpur- 208002, India

Keywords: Newtonian fluid, Blood, Catheterization, Tapered artery, Slip velocity.

Abstract

Effect of slip velocity on blood flow through an arterial stenosis which is developed along a tapering wall is studied here. A uniform catheter is inserted in a stenosed tube. Blood is assumed to behave like Newtonian fluid. No slip as well as slip condition is taken in the present paper, at the arterial wall a velocity slip condition is employed and a no slip at the catheter boundary. Analytic expressions are obtained for different flow parameters and their behavior discussed through graphs. For the numerical solution of the problem, which is described by Navier-Stokes equations with appropriate boundary conditions, the Perturbation method is adopted. It is found that due to the introduction of an axial slip velocity and flow rate increases but wall shear stress decreases. The effect of tapering is also seen in the present model.

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