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Analysis of Pulsatile Magnetohydrodynamic (MHD) Third Grade Blood Flow in a Stenosed Artery
Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
Department of Mathematical Sciences, Ondo State University of Science and Technology Okitipupa, Ondo State, Nigeria
Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
- 1 Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
- 2 Department of Mathematical Sciences, Ondo State University of Science and Technology Okitipupa, Ondo State, Nigeria
- 3 Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
- 4 Department of Mathematics/Statistics/Computer Science, University of Agriculture Makurdi, Benue State, Nigeria
American Journal of Computational Mathematics·Volume 08 (2018)·Pages 78–95·Published 23 February 2018·DOI10.4236/ajcm.2018.81007
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Abstract
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 .
KeywordsThird Grade FluidMagnetohydrodynamics (MHD)Shear Thinning/Thickening
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