Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanofluids with magnetic induction
Mathematical model for ciliary-induced transport in MHD flow of Cu-H2O nanofluids with magnetic induction
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DOI：
10.1016/j.cjph.2017.03.005
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发表时间：
2017-06-01
影响因子：
5
通讯作者：
Beg, O. Anwar
中科院分区：
文献类型：
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作者：
Akbar, Noreen Sher;Tripathi, Dharmendra;Beg, O. Anwar
在表面修饰、纳米尺度、磁流体力学(MHD)生物医学器件的新发展的推动下，我们从理论上研究了铜-水纳米流体流经平行平板通道时，异时波传播引起的纤毛输运。在生理约束下，考虑了蠕动流动，即与粘性力相比，惯性力较小。对于纤毛诱导的磁流体流动，亚时波长也被认为是非常大的。磁雷诺数足够大，足以引起磁感应效应。物理问题被线性化，并得到了所产生的边值问题的精确解。给出了流函数、压力升、感应磁场函数和温度的闭合表达式。利用数学符号软件对数值结果进行了计算和图示。用图解的方法讨论了物理参数对速度分布、压力梯度和团粒捕集的影响。本文的计算结果适用于纳米磁仿生技术中的流动控制模拟。(三)2017年中国共和国物理学会(台湾)。爱思唯尔出版，版权所有。
Motivated by novel developments in surface-modified, nanoscale, magnetohydrodynamic (MHD) biomedical devices, we study theoretically the ciliary induced transport by metachronal wave propagation in hydromagnetic flow of copper-water nanofluids through a parallel plate channel. Under the physiological constraints, creeping flow is taken into consideration i.e. inertial forces are small compared with viscous forces. The metachronal wavelength is also considered as very large for cilia induced MHD flow. Magnetic Reynolds number is sufficiently large to invoke magnetic induction effects. The physical problem is linearized and exact solutions are developed for the resulting boundary value problem. Closed-form expressions are presented for the stream function, pressure rise, induced magnetic field function and temperature. Mathematica symbolic software is used to compute and illustrate numerical results. The influence of physical parameters on velocity profile, pressure gradient and trapping of bolus are discussed with the aid of graphs. The present computations are applicable to simulations of flow control of in nano-magneto-biomimetic technologies. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.