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Numerical treatment for Darcy-Forchheimer flow of carbon nanotubes due to an exponentially stretching curved surface

碳纳米管指数拉伸曲面上Darcy-Forchheimer 流动的数值处理

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Abstract

This article gives a numerical report to two dimensional (2D) Darcy-Forchheimer flow of carbon-water nanofluid. Flow is instigated by exponential extending curved surface. Viscous liquid in permeable space is described by Darcy-Forchheimer. The subsequent arrangement of partial differential equations is changed into ordinary differential framework through proper transformations. Numerical arrangements of governing frameworks are set up by NDSolve procedure. Outcomes of different sundry parameters on temperature and velocity are examined. Skin friction and heat transfer rate are also shown and inspected.

摘要

本文对碳水纳米流体的二维流动进行了数值模拟。流体是由指数扩展曲面引起的。本文用 Darcy-Forchheimer方法描述了渗透空间中的黏性液体。通过适当的变换, 将偏微分方程的后续排列转 化为常微分框架。采用NDSolve程序建立了控制框架的数值排布。考察了不同参数对温度和速度的影 响, 并对表面摩擦和传热速率进行监测。

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Authors and Affiliations

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

    Tasawar Hayat & Farwa Haider

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

    Tasawar Hayat & Ahmed Alsaedi

  3. Department of Mathematics, Government College Women University, Sialkot, 51310, Pakistan

    Taseer Muhammad

Authors
  1. Tasawar Hayat
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  2. Farwa Haider
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Correspondence to Taseer Muhammad.

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Hayat, T., Haider, F., Muhammad, T. et al. Numerical treatment for Darcy-Forchheimer flow of carbon nanotubes due to an exponentially stretching curved surface. J. Cent. South Univ. 26, 865–872 (2019). https://doi.org/10.1007/s11771-019-4055-1

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  • DOI: https://doi.org/10.1007/s11771-019-4055-1

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