Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Vinayaka Nagar, Ballari, Karnataka, 583 105, India.
Bhaskaracharya Study Chair, Karnataka State Akkamahadevi Women's University, Vijayapura, Karnataka, India.
Biomech Model Mechanobiol. 2021 Jun;20(3):1047-1067. doi: 10.1007/s10237-021-01430-y. Epub 2021 Mar 3.
The mathematical modelling of biological fluids is of utmost importance due to its applications in various fields of medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. The current paper emphasizes on the MHD peristalsis of Jeffrey nanofluid flowing through a vertical channel when subjected to the combined heat/mass transportation. The equations for the current flow scenario are developed with relevant assumptions for which the perturbation technique is followed to simulate the solution. The expressions of velocity, temperature and concentration are obtained, and the solutions of skin-friction coefficient, Nusselt number and Sherwood number at the wall are acquired. Further, the influence of relevant parameters on various physical quantities for both non-Newtonian Jeffery and viscous fluid is graphically analyzed. The outcomes are deliberated in detail Further, it is renowned that the current study has many biomechanical applications such as the movement of chyme motion in the gastrointestinal tract and during the surgery to take control of the flow of blood by adjusting the magnetic field intensity.
由于其在医学的各个领域中的应用,生物流体的数学建模至关重要。蠕动机制在理解许多生物流动中起着关键作用。本文重点研究了在垂直通道中流动的 Jeffrey 纳米流体的磁流体动力学蠕动,该流动同时受到热/质量传输的影响。针对当前的流动情况,提出了相关的假设,随后通过摄动技术对其方程进行了模拟。得到了速度、温度和浓度的表达式,并获得了壁面处的摩擦系数、努塞尔数和舍伍德数的解。此外,还以图形方式分析了非牛顿型 Jeffrey 流体和粘性流体的相关参数对各种物理量的影响。进一步详细讨论了这些结果。此外,众所周知,当前的研究具有许多生物力学应用,例如胃肠道中食糜的运动以及通过调整磁场强度来控制血液流动的手术。