The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. The solution of the governing equations is found using integral transformations (Laplace and finite Hankel transforms). For the semianalytical solution, the inverse Laplace transform is found by means of Stehfest’s and Tzou’s algorithms. The numerical calculations were performed by using Mathcad software. The flow is significantly affected by Hartmann number, inclination angle, fractional parameter, permeability parameter, and pulsatile pressure gradient frequency, according to the findings. It is deduced that there exists a significant difference in the velocity of the flow at higher time when the magnitude of Reynolds number is small and large.

中文翻译：

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广义时-非局域剪应力的磁流体动力脉动血流通过倾斜的多孔圆柱管的研究

本文讨论了在存在横向磁场的情况下脉动压力梯度对通过多孔介质的倾斜锥形圆柱管的不稳定血液流动的影响。分数微积分技术用于提供分数微分的血流数学模型。使用积分变换（拉普拉斯变换和有限汉克尔变换）可以找到控制方程的解。对于半解析解，可通过Stehfest和Tzou的算法找到拉普拉斯逆变换。数值计算是通过使用Mathcad软件进行的。研究结果表明，流动受到哈特曼数，倾角，分数参数，渗透率参数和脉动压力梯度频率的显着影响。