正弦变形可渗透和不可渗透弯曲管之间环形间隙中蠕动电磁流体力学蠕动推进的数学建模

P. Yadav, Muhammad Roshan
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摘要

本研究探讨了在外部施加的电场和磁场影响下,粘性流体在形状相似的正弦变形可渗透和不可渗透弯曲管之间的环形间隙中的蠕动推进问题。在该模型中,具有可渗透壁面的外管假定满足萨夫曼滑移条件。通过估算与外管半径相比较大的波长,简化了流动方程。通过计算软件 MATHEMATICA 获得了轴向速度的解析解。通过图形分析,探索了壁面剪应力、速度、压升、摩擦力和流函数随不同突发参数的变化,从而深入了解了流动现象的基本物理原理。哈特曼数和电场强度对流经具有弯曲结构的可变形管之间的间隙的影响的研究,对包括机械和生物医学工程在内的各种工程应用具有重要意义。通过绘制流线来讨论流体截留问题,并直观显示粘性流体在弯曲环形域内的流动模式。在流线等值线图的帮助下,对正弦波、三角波、梯形波和方波引起的流体传输进行了比较分析。此外,还讨论了三种不同模型中压力梯度的比较,以深入了解流体与结构之间的相互作用。本文讨论的结果填补了近期发表的文献中的空白。
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Mathematical modeling of creeping electromagnetohydrodynamic peristaltic propulsion in an annular gap between sinusoidally deforming permeable and impermeable curved tubes
The present work investigates the creeping peristaltic propulsion of viscid fluid in an annular gap between sinusoidally deforming permeable and impermeable curved tubes of similar shape under the influence of an externally imposed electric and magnetic field. In this model, the outer tube with a permeable wall surface is supposed to satisfy the Saffman slip condition. The flow equations are simplified by the estimation of a large wavelength in comparison with the radius of the external tube. An analytical solution for the axial velocity is obtained in the computational software MATHEMATICA. Graphical analyses are conducted to explore the variations in wall shear stress, velocity, pressure rise, frictional force, and stream function with respect to different emergent parameters, providing insight into the underlying physics of the flow phenomena. An investigation of the effects of the Hartmann number and electric field strength on the flow through a gap between deformable tubes with curved structures has important implications for a variety of engineering applications, including mechanical and biomedical engineering. The streamlines are plotted to discuss fluid trapping and visualize the flow pattern of the viscid fluid inside the curved annular domain. A comparative analysis of fluid transport induced by sinusoidal, triangular, trapezoidal, and square wave shapes is encountered with the help of streamlined contour diagrams. The comparison of pressure gradients in three different models is also discussed to gain insight due to fluid–structure interaction. A gap in the body of recently published literature is filled by the results discussed in this paper.
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