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On Darcy-Forchheimer squeezed flow of carbon nanotubes between two parallel disks

机译:关于Darcy-Forchheimer压缩两个平行盘之间的碳纳米管流动

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摘要

Purpose - The purpose of this paper is to construct mathematical model for squeezed flow of carbon-water nanofluid between parallel disks considering Darcy-Forchheimer porous medium. Thermal conductivity of carbon nanotubes is estimated through the well-known Xue model. Such research work is not carried out in the past even in the absence of Darcy-Forchheimer porous space. Forchheimer equation is preferred here to account for both low and high velocity inertia] effects. Researchers also found that dispersion of carbon nanotubes in water elevates the thermal conductivity of resulting nanofluid by 100 per cent. Design/methodology/approach - Homotopy analysis method (HAM) is used for the convergent series solutions of the governing system. Findings - Nusselt number at the lower disk increases when squeezing parameter Sq enlarges. This illustrates that heat transfer rate at the lower wall can be enhanced by increasing the squeezing velocity of the lower disk. The results demonstrate a decreasing trend in temperature profile for increasing volume fraction of carbon nanotubes. Moreover, improvement in heat transfer rate because of existence of carbon nanotubes is also apparent A significant enhancement in temperature profile is depicted when inertial permeability coefficient is enhanced. Skin friction coefficients at the lower and upper disks are higher for MWCNTs in comparison to the SWCNTs. Originality/value - To the best of author's knowledge, no such consideration has been given in the literature yet.
机译:目的-本文的目的是为考虑达西-福希海默(Darcy-Forchheimer)多孔介质的平行盘之间的碳水纳米流体之间的挤压流动建立数学模型。碳纳米管的导热系数是通过众所周知的薛模型估算的。即使没有达西-福希海默多孔空间,过去也没有进行过这样的研究工作。在这里,考虑到低速和高速惯性效应,首选Forchheimer方程。研究人员还发现,碳纳米管在水中的分散将所形成的纳米流体的热导率提高了100%。设计/方法/方法-同质分析方法(HAM)用于控制系统的收敛级数解。结果-压缩参数Sq增大时,下部磁盘的Nusselt数增加。这说明可以通过增加下盘的挤压速度来提高下壁的传热速率。结果表明,随着碳纳米管体积分数的增加,温度曲线呈下降趋势。此外,由于碳纳米管的存在,传热速率的改善也是显而易见的。当惯性磁导率系数提高时,温度分布将显着提高。与SWCNT相比,MWCNT在下盘和上盘的皮肤摩擦系数更高。原创性/价值-就作者所知,文献中还没有考虑过此类因素。

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    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;

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

    Department of Mathematics, Government College Women University, Sialkot, Pakistan;

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

    School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan;

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  • 正文语种 eng
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  • 关键词

    Squeezing flow; CNTs (SWCNTs and MWCNTs); Darcy-Forchheimer porous medium; Parallel disks;

    机译:挤压流CNT(SWCNT和MWCNT);Darcy-Forchheimer多孔介质;并行磁盘;

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