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Features of Darcy-Forchheimer flow of carbon nanofluid in frame of chemical species with numerical significance

碳纳米流体的 Darcy-Forchheimer 流体特征在化学物质框架中的数值意义

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Abstract

Present work reports chemically reacting Darcy-Forchheimer flow of nanotubes. Water is utilized as base liquid while carbon nanotubes are considered nanomaterial. An exponential stretchable curved surface flow is originated. Heat source is present. Xue relation of nanoliquid is employed to explore the feature of Cnts (single and multi-wall). Transformation technique is adopted in order to achieve non-linear ordinary differential systems. The governing systems are solved numerically. Effects of involved parameters on flow, temperature, concentration, heat transfer rate (Nusselt number) with addition of skin friction coefficient are illustrated graphically. Decay in velocity is noted with an increment in Forchheimer number and porosity parameter while opposite impact is seen for temperature. Moreover, role of Mwcnts is prominent when compared with Swcnts.

摘要

本文对碳纳米管中发生的Darcy-Forchheimer 流体化学反应进行了研究。当碳纳米管被认为是 纳米材料时, 使用水作基液, 由于指数拉伸弯曲表面流动的产生而出现热源。采用纳米液体的薛氏关 系式研究了碳纳米管(单壁、多壁碳纳米管)的特性。利用变换技术得到非线性常微分方程, 对控制系 统进行数值求解。用图示说明所涉及的参数在增加表面摩擦系数的情况下, 对流动、温度、浓度、热 传递速率(Nusselt 数)的影响。速度随着 Forchheimer 数和孔隙度的增大而减慢, 但温度则呈相反的趋 势。与单壁碳纳米管相比, 多壁碳纳米管的作用更显著。

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University, Islamabad, 44000, Pakistan

    Tasawar Hayat & Khursheed Muhammad

  2. Nonlinear Analysis and Applied Mathematics (Naam) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat & Muhammas Farooq

  3. Department of Mathematics, Riphah International University, Islamabad, 44000, Pakistan

    Ahmed Alsaedi

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  1. Tasawar Hayat
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Correspondence to Khursheed Muhammad.

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Hayat, T., Muhammad, K., Alsaedi, A. et al. Features of Darcy-Forchheimer flow of carbon nanofluid in frame of chemical species with numerical significance. J. Cent. South Univ. 26, 1260–1270 (2019). https://doi.org/10.1007/s11771-019-4085-8

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