Chaturani P, Palanisamy V
Department of Mathematics, Indian Institute of Technology, Powai, Bombay.
Biorheology. 1989;26(4):835-46. doi: 10.3233/bir-1989-26414.
The effects of polar nature of blood and pulsatility on flow through a stenosed tube have been analysed by assuming blood as a micropolar fluid. Linearized solutions of basic equations are obtained through consecutive applications of finite Hankel and Laplace transforms. The analytical expressions for axial and particle angular velocities, wall shear stress, resistance to flow and apparent viscosity have been obtained. The axial velocity profiles for Newtonian and micropolar fluids have been compared. The interesting observation of this analysis is velocity, in certain parts of cycle, for micropolar fluid is higher than Newtonain fluid. Variation of apparent viscosity eta a with tube radius shows both inverse Fahraeus-Lindqvist and Fahraeus-Lindqvist effects. Finally, the resistance to flow and wall shear stress for normal and diseased blood have been computed and compared.
通过将血液假定为微极流体,分析了血液的极性和脉动性对通过狭窄管道的流动的影响。通过连续应用有限汉克尔变换和拉普拉斯变换,得到了基本方程的线性化解。获得了轴向和颗粒角速度、壁面剪应力、流动阻力和表观粘度的解析表达式。比较了牛顿流体和微极流体的轴向速度分布。该分析的有趣发现是,在循环的某些部分,微极流体的速度高于牛顿流体。表观粘度ηa随管道半径的变化呈现出反法厄斯-林德奎斯特效应和法厄斯-林德奎斯特效应。最后,计算并比较了正常血液和病变血液的流动阻力和壁面剪应力。