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Entropy analysis of SWCNT & MWCNT flow induced by collecting beating of cilia with porous medium

单壁碳和多壁碳纳米管内多孔纤毛脉动诱导流体流动的熵分析

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  • Heat and mass transfer
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Abstract

In this article, we considers the thermodynamics analysis of creeping viscous nanofluid flow in a horizontal ciliated tube under the effects of a uniform magnetic field and porous medium. Moreover, energy analysis is performed in the presence of an internal heat source and thermal radiation phenomena. The thermal conductivity of base fluid water is strengthened by considering the carbon nanotubes (CNTs). Mathematical formulation operated, results in a set of non-linear coupled partial differential equations. The governed differential system is transformed into an ordinary differential system by considering suitable similarity variables. Exact solutions in the closed form are computed for the temperature, momentum and pressure gradient profiles. In this study, special attention is devoted to the electrical conductivity of the CNTs. Streamlines patterns are also discussed to witness the flow lines for different parameters. Thermodynamics analysis shows that entropy of the current flow system is an increasing function of Brinkmann number, magnetic parameter, nanoparticle concentration parameter and Darcy number.

摘要

对均匀磁场和多孔介质作用下水平纤毛管内黏性纳米流体流动的热力学进行分析。另外, 对存 在内部热源和热辐射的情况也进行了能量分析。加入碳纳米管(CNTs)增强了基流水的热导率。通过公 式转换得到一组非线性耦合偏微分方程。通过相似变量的转换, 将控制微分系统转化为一个常微分系 统。计算了温度、动量和压力梯度分布的封闭形式的精确解。本研究主要研究了碳纳米管的导电性, 讨论了不同流线的模式。热力学分析表明, 电流系统的熵随着Brinkmann 数、磁性参数、纳米粒子浓 度参数和Darcy 数的增大而增大。

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Authors and Affiliations

  1. Department of Mathematics, Capital University of Science and Technology Islamabad, Islamabad, Pakistan

    Muhammad N Abrar, Muhammad Sagheer & Shafqat Hussian

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  1. Muhammad N Abrar
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  2. Muhammad Sagheer
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  3. Shafqat Hussian
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Correspondence to Muhammad N Abrar.

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Abrar, M.N., Sagheer, M. & Hussian, S. Entropy analysis of SWCNT & MWCNT flow induced by collecting beating of cilia with porous medium. J. Cent. South Univ. 26, 2109–2118 (2019). https://doi.org/10.1007/s11771-019-4158-8

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