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具有达西-福希海默多孔介质的碳纳米管三维旋转流

Three-dimensional rotating flow of carbon nanotubes with Darcy-Forchheimer porous medium.

作者信息

Hayat Tasawar, Haider Farwa, Muhammad Taseer, Alsaedi Ahmed

机构信息

Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan.

Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

出版信息

PLoS One. 2017 Jul 7;12(7):e0179576. doi: 10.1371/journal.pone.0179576. eCollection 2017.

DOI:10.1371/journal.pone.0179576
PMID:28686643
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5501399/
Abstract

Here we are concerned with the Darcy-Forchheimer three-dimensional flow of carbon nanotubes in a rotating frame. Flow is generated by stretching of the surface. Xue model is adopted for nanofluid transport mechanism. Results for single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes are achieved and compared. Flow saturating porous space obeys Darcy-Forchheimer expression. Boundary layer approximations are invoked to simplify governing partial differential system. Optimal homotopy analysis method (OHAM) is utilized for solutions of governing model. The optimal values of auxiliary parameters are computed. Plots have been displayed in order to analyze how the velocities and temperature fields get affected by various flow parameters. Skin-friction coefficients and local Nusselt number are presented through numerical data for both SWCNTs and MWCNTs. Moreover the skin-friction coefficients and local Nusselt number are enhanced for larger values of nanoparticles volume fraction.

摘要

在此，我们关注旋转坐标系中碳纳米管的达西 - 福希海默三维流动。流动由表面拉伸产生。采用薛模型描述纳米流体传输机制。获得并比较了单壁碳纳米管（SWCNT）和多壁碳纳米管的结果。充满多孔空间的流动服从达西 - 福希海默表达式。采用边界层近似来简化控制偏微分方程组。利用最优同伦分析法（OHAM）求解控制模型。计算辅助参数的最优值。绘制图表以分析各种流动参数如何影响速度场和温度场。通过SWCNT和MWCNT的数值数据给出了表面摩擦系数和局部努塞尔数。此外，对于较大的纳米颗粒体积分数值，表面摩擦系数和局部努塞尔数会增大。

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