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

• 作者: A. Jimoh G. T. Okedayo T. Aboiyar
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 物理学
• 关键词: STENOSIS HEMATOCRIT SLIP Velocity Magnetic Field Non-Newtonian FLUID Third Grade FLUID GALERKIN Weighted RESIDUAL Method
• 年，卷（期）: 2019,（3）
• 页码范围: 638-663
• 页数: 26页
• 分类号: O35

摘要

A theoretical investigation concerning hematocrit and slip velocity influence on the flow of blood and heat transfer by taking into account the externally applied magnetic field has been carried out. The mathematical models considered in this work treated blood as a non-Newtonian fluid obeying the third grade fluid model. A suitable geometry of the stenosis is taken into account. Galerkin weighted residual and Newton Raphson methods are used to solve the equations that govern the flow of blood and heat transfer. 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, volumetric flow rate and shear stress increase while resistance to flow and heat transfer rate decrease when the slip velocity increases. Also, flow velocity and volume flow rate decrease while shear stress, heat transfer rate, and resistance to flow increase when the hematocrit parameter increases. Finally, increases in magnetic field parameter lead to decrease in flow velocity, flow rate and shear stress but increase the flow resistance.