Effect of Unsteadiness On Blood Flow
Through A Stenosed Artery Using A Third
Grade Fluid Model With Slip Conditions

Jimoh; A

doi:https://doi.org/10.14445/22315373/IJMTT-V66I4P522

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 4 | Year 2020 | Article Id. IJMTT-V66I4P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I4P522

Effect of Unsteadiness On Blood Flow Through A Stenosed Artery Using A Third Grade Fluid Model With Slip Conditions

Jimoh, A

Citation :

Jimoh, A, "Effect of Unsteadiness On Blood Flow Through A Stenosed Artery Using A Third Grade Fluid Model With Slip Conditions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 4, pp. 177-202, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I4P522

Abstract

Effect of unsteadiness on blood flow through a stenosed artery using a third grade fluid model with slip conditions was investigated in this paper. Externally applied magnetic field was also taken into consideration. The solutions of the steady and unsteady non-linear dimensionless momentum equations are obtained using Galerkin’s Weighted residual, Newton Raphson and Fourth order Runge- Kutta methods. Comparative analysis as regards effects of slip velocity, magnetic field, shear thinning, pressure gradient and Reynold number on the flow characteristics of steady and unsteady third grade blood flow models were carried out and the results were presented graphically. It was reveals from the graphs that, slip velocity and shear thinning increases with velocity profiles, flow rate but reduces resistance to fluid flow for both steady and unsteady blood flow models. Also, magnetic field parameter increases with resistance to fluid flow but reduces velocity profiles and shear stress for both steady and unsteady blood flow models. Other parameters that can influences both steady and unsteady blood flow are pressure gradient and Reynold number. Finally, for the constant values of the parameters such as slip velocity, magnetic field, shear thinning, pressure gradient and Reynold number, the velocity profile of unsteady blood model is higher than that of the steady blood flow model.

Keywords

Steady blood flow, unsteady blood flow, magnetic field, slip conditions, stenosed artery, shear thinning, shear thickening, third grade fluid models and Galerkin’s Weighted residual methods.

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