Kavitha R, Ladu Nyagong Santino David, Ravi S
Department of Mathematics and Statistics, Faculty of Science and Humanities, SRM Institute of Science and Technology, Kattankulathur Campus, Chengalpattu, India.
Department of Mathematics and Physics, Rumbek University of Science and Technology, Rumbek, South Sudan.
Appl Bionics Biomech. 2025 Mar 12;2025:8818822. doi: 10.1155/abb/8818822. eCollection 2025.
This paper investigates the impact of chemical and Soret reactions on magnetohydrodynamic (MHD) oscillatory flow in a porous arteriole. Using appropriate mathematical techniques, a model of a mathematical equation is developed and solved. The flow governing equations are formulated based on certain assumptions. Exact solutions are attained for the profiles of velocity, temperature, and concentration. To highlight the key features, the numerical computations of the physical parameters, Grashof number, Reynolds number, Magnetic number, and Soret number were presented graphically. The present study reveals the viscoelasticity of blood significantly reduces flow velocity. And also illustrates blood flow (BF) in the artery is affected by the Lorentz force, which causes the velocity of the BF to increase as the magnetic field parameter values increase. The obtained outcome may be very useful in controlling BF during the surgical procedure.
本文研究了化学和索雷特反应对多孔小动脉中磁流体动力学（MHD）振荡流的影响。运用适当的数学技巧，建立并求解了一个数学方程模型。基于某些假设制定了流动控制方程。获得了速度、温度和浓度分布的精确解。为突出关键特征，以图形方式给出了物理参数、格拉晓夫数、雷诺数、磁数和索雷特数的数值计算结果。本研究表明血液的粘弹性显著降低了流速。还说明了动脉中的血流（BF）受洛伦兹力影响，随着磁场参数值增加，血流速度增大。所获得的结果在手术过程中控制血流方面可能非常有用。
