Author(s)

L. N. Ikpakyegh¹, G. T. Okedayo², T. Aboiyar¹, E. S. Onah¹

¹Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria.
²Department of Mathematical Sciences, Ondo State University of Science and Technology Okitipupa, Ondo State, Nigeria.

In this research, we modeled MHD third grade blood flow in a stenosed artery. The blood viscosity and the density have been modeled into the shear thinning/thickening parameters, the most important rheological properties of blood. We used regular perturbation method and obtained the flow characteristics such as the flow velocity, the volume flow rate, the shear stress and the resistance to the flow considering a single layered stenosed artery. The results however showed that there is significant increase in volume flow rate and the velocity with increase in the magnetic field intensity H and the shear thinning Λ and reduces with increase in the shear thickening Ω.

Third Grade Fluid, Magnetohydrodynamics (MHD), Shear Thinning/Thickening

Ikpakyegh, L. , Okedayo, G. , Aboiyar, T. and Onah, E. (2018) Analysis of Pulsatile Magnetohydrodynamic (MHD) Third Grade Blood Flow in a Stenosed Artery. American Journal of Computational Mathematics, 8, 78-95. doi: 10.4236/ajcm.2018.81007.