利用同调扰动法分析蠕动诱导的蠕变磁流体流经倾斜环面的传热情况

Pramod Kumar Yadav, Muhammad Roshan
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摘要

本研究旨在重点分析在径向变化磁场和恒定旋转的影响下,双粘流体在两根具有不同振幅和相位的同轴柔性管之间的环形区域内的蠕动传热。在该模型中,非牛顿双粘流体流经两根同心倾斜管之间的环形区域。外部的柔性管是可渗透的,并假定满足萨夫曼滑移条件。在蠕动流动和长波长近似的假设下,对所考虑问题的控制方程进行了简化。利用同调扰动法获得了轴向速度和温度曲线的半解析表达式。这里还得到了剪应力和流函数的表达式。在这项工作中,作者讨论了哈特曼数、框架旋转、渗透参数、相位差、内外管振幅比、半径比和倾角等各种流动参数对上述流动变量的影响。此外,还绘制了流线轮廓图,以实现环形内窥镜区域内的流体流动。本研究得出的一个显著结果是,相位差和振幅比分别是降低和提高流动液体温度和轴向速度的原因。本研究还发现,外加磁场强度的增加会增强蠕动传播波的横向波动。此外,还讨论了在蠕动内窥镜情况下正弦波形与各种波形(如三角波、梯形波和方形波)的比较。所提出的模型可为设计新型内窥镜提供启示,并决定此类蠕动内窥镜是否可作为外科手术和机械用途的范例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Heat transfer analysis of a peristaltically induced creeping magnetohydrodynamic flow through an inclined annulus using homotopy perturbation method
The present work aims to focus on the heat transfer analysis of the peristaltic flow of biviscosity fluid in an annular region between two coaxial flexible tubes with different amplitudes and phases under the influence of a radially varying magnetic field and constant rotation. In this model, the non‐Newtonian biviscosity fluid is flowing through the annulus region between the two concentric inclined tubes. The outer flexible tube is permeable and supposed to satisfy the Saffman slip condition. The governing equations for the considered problem are simplified under the assumptions of a creeping flow and long‐wavelength approximations. Semi‐analytical expressions for the axial velocity and temperature profile are obtained using the homotopy perturbation method. Here, the expressions for shear stress and stream function are also obtained. In this work, the authors discussed the impact of various flow parameters like the Hartmann number, rotation of the frame, permeability parameter, phase difference, amplitude ratios of inner and outer tubes, radius ratio, and inclination angle on the above flow variables. The streamline contour plots are also drawn for the realization of the fluid flow inside the annular endoscopic region. A noticeable result which is drawn from the present study is that phase difference and amplitude ratio are responsible for reduction and enhancement in temperature and axial velocity of the moving fluid, respectively. It is also found from the present examination that the rise in the strength of the applied magnetic field enhances the transverse fluctuations of peristaltically propagating waves. The comparison of the sinusoidal waveform with the various types of waveforms, such as triangular, trapezoidal, and square waveforms, in the case of a peristaltic endoscope is also discussed. The proposed model may give insights into designing a novel endoscope and decide whether such types of peristaltic endoscopes have exemplary implementations for surgical and mechanical purposes.
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