Nazar Tayyaba, Shabbir Muhammad Shahzad
Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan.
J Biol Phys. 2025 May 29;51(1):19. doi: 10.1007/s10867-025-09684-8.
This study investigates the electromagnetohydrodynamic (EMHD) flow of fractional Maxwell fluids through a stenosed artery, accounting for body acceleration. The flow is considered highly pulsatile. The mathematical model is formulated using differential forms of the conservation of mass and momentum. The governing equations are nondimensionalized and simplified by assuming mild stenosis. Through the application of the Caputo fractional derivative, the classical problem is transformed into its fractional equivalent. Solutions are derived using Laplace and finite Hankel transformations, with the inverse Laplace transform applied afterward. The findings show that blood velocity, flow rate, and shear stress fluctuate continuously over time due to the pulsatile flow and the effects of body acceleration.
本研究考察了分数阶麦克斯韦流体在存在身体加速度情况下通过狭窄动脉的电磁流体动力学（EMHD）流动。该流动被认为是高度脉动的。使用质量和动量守恒的微分形式建立了数学模型。通过假设轻度狭窄，对控制方程进行无量纲化和简化。通过应用卡普托分数阶导数，将经典问题转化为其分数阶等效问题。利用拉普拉斯变换和有限汉克尔变换求出解，随后应用拉普拉斯逆变换。研究结果表明，由于脉动流和身体加速度的影响，血流速度、流量和剪应力随时间不断波动。
