Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

Abstract

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as $0.03<{\delta }_l<0.12,2<m<3.5,0.03<Q<2,0<U_{\mathrm{HS}}<3,2<B_r<2.9,0.01<S<0.025$. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter $m$ and flow rate $Q$. The trapping declines in size with incrementing $m$, for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

Keywords: Casson fluid; Electro-osmosis; Joule heating; multiple stenosis.