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复杂波状渠道中微游动体与横流交叉流体在倾斜 MHD 效应下的生物相互作用。

Biological interactions between micro swimmers and cross fluid with inclined MHD effects in a complex wavy canal.

机构信息

Department of Mathematics and Statistics, Hazara University, Manshera, Pakistan.

Department of Mathematics, Government College Mansehra, Mansehra, 21300, Pakistan.

出版信息

Sci Rep. 2023 Mar 22;13(1):4712. doi: 10.1038/s41598-023-31853-9.

DOI:10.1038/s41598-023-31853-9
PMID:36949228
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10033656/
Abstract

The significance of studying biological interactions of micro swimmers in a complex wavy canal with MHD effects lies in its potential to provide insight into the behavior and dynamics of microorganisms in natural environments that contain complex fluid flow and magnetic fields. Current investigation explores the biological interactions between micro swimmers and Cross fluid with inclined MHD effects in a complex wavy canal. There are several factors of medium for micro swimmers like nature, magnetic field, liquid rheology and position. These interactions are hereby witnessed by utilizing the Cross fluid along with Taylor swimming sheet model under the influence of porous and inclined magnetic effect. Furthermore, two-dimensional complex wavy cervical canal is being utilized at inclined angle. By help of lubrication assumption, reduction of momentum equation is made and hence fourth-order differential equation associated with boundary conditions is obtained. Bvp4c command in Matlab is utilized for this boundary value problem. Obtained bvp4c solution is verified with finite difference method and found smooth agreement. Magnetic force enhances the swimming speed and reduction is seen for the power dissipation and effective role is seen for swimming motion with cross fluid rheology. The channel walls (peristaltic nature) and porous medium can be utilized as alternative factors to control the speed of the propeller.

摘要

研究微游动生物在具有磁流体力学效应的复杂波状通道中的生物相互作用的意义在于，它能够深入了解自然环境中微生物的行为和动力学，因为自然环境中包含复杂的流体流动和磁场。目前的研究探讨了在复杂波状通道中存在倾斜磁流体力学效应时，微游动生物与 Cross 流体之间的生物相互作用。微游动生物的介质有几个因素，如性质、磁场、液体流变性和位置。这些相互作用通过利用 Cross 流体和 Taylor 游动片模型在多孔和倾斜磁场的影响下得到了见证。此外，还利用二维倾斜复杂宫颈管。通过润滑假设，对动量方程进行了简化，从而得到了与边界条件相关的四阶微分方程。Matlab 中的 Bvp4c 命令用于解决这个边值问题。用有限差分法验证了 bvp4c 解，发现吻合良好。磁场力增强了游动速度，减少了功率耗散，Cross 流体流变性对游动运动起到了积极的作用。通道壁（蠕动性质）和多孔介质可以作为控制螺旋桨速度的替代因素。

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