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Hematocrit and Slip Velocity Influence on Third Grade Blood Flow and Heat Transfer through a Stenosed Artery

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Document pages: 26 pages

Abstract: A theoretical investigation concerning hematocritand slip velocity influence on the flow of blood and heat transfer by takinginto account the externally applied magnetic field has been carried out. Themathematical models considered in this work treated blood as a non-Newtonianfluid obeying the third grade fluid model. A suitable geometry of the stenosisis taken into account. Galerkin weighted residual and Newton Raphson methodsare used to solve the equations that govern the flow of blood and heattransfer. Analytical expression for the velocity profile, temperature profile,volume flow rate, wall shear stress and resistance to flow were obtained.Graphical representation of results shows that the flow velocity, volumetricflow rate and shear stress increase while resistance to flow and heat transfer ratedecrease when the slip velocity increases. Also, flow velocity and volume flowrate decrease while shear stress, heat transfer rate, and resistance to flow increasewhen the hematocrit parameter increases. Finally, increases in magnetic fieldparameter lead to decrease in flow velocity, flow rate and shear stress butincrease the flow resistance.

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