Influence of heat and chemical reactions on the Sisko fluid model for blood flow through a tapered artery with a mild stenosis

Abstract

The present article studies the effects of heat and chemical reactions on the blood flow through tapered artery with a stenosis. The model incorporates Sisko fluid representation for the blood flow through an axially non-symmetrical but radially symmetric stenosis. Symmetry of the distribution of the wall shearing stress and the resistive impedance and their growth with the developing stenosis is another important feature of our analysis. Analytical solutions have been evaluated for the velocity, temperature, concentration, resistance impedance, wall shear stress and shearing stress at the stenosis throat. The graphical results of different type of tapered arteries (i.e. converging tapering, diverging tapering, non-tapered artery) have been examined for different parameters of interest. Stream lines have been plotted at the end of the article.

Keywords: Sisko fluid, blood flow, tapered artery, stenosis, analytical solution, heat and mass transfer

Quaestiones Mathematicae 37(2014), 157–177