Effects of heat and chemical reaction on Jeffrey fluid model with stenosis

Abstract

In this article, we have studied a non-Newtonian fluid model for blood flow through a tapered artery with a stenosis by assuming blood as Jeffrey fluid. Heat and mass transfer phenomena have been taken into account by giving temperature ₀ and concentration ₀ to the upper wall of the arteries, while at the centre we have considered symmetry condition for both temperature and concentration. Perturbation method is used to solve the resulting equations. The effects of non-Newtonian nature of blood on velocity profile, temperature field and concentration, wall shear stress, shearing stress at the stenosis throat, and impedance of the artery are discussed. The results for Newtonian fluid are obtained as a special case from this model. Trapping phenomena have been discussed at the end of this article.

Keywords:

• Jeffrey two constant fluid
• blood flow
• tapered artery
• stenosis
• analytical solution
• heat and mass transfer

AMS Subject Classification::

• 76A05

Acknowledgement

The second author (as a visiting Professor) gratefully acknowledges the Kind Saud University for the financial support during his visit under KSU-VPP-103.