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A spatial-fractional thermal transport model for nanofluid in porous media

机译:纳米流体在多孔介质中的空间分数热输运模型

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摘要

In this paper, a spatial fractional-order thermal transport equation with the Caputo derivative is proposed to describe convective heat transfer of nanofluids within disordered porous media in boundary layer flow. This equation arises naturally when the effect of anomalous migration of nanoparticles on heat transfer is considered. The numerical results show that local Nusselt numbers of four different kinds of nanofluids are all inversely proportional to the fractional derivative exponent β. Based on this finding, it is concluded that the anomalous diffusion of nanoparticles improves the convective heat transfer of nanofluids and the space fractional thermal transport equation may serve as a candidate model for studying nanofluids. Additionally, the effects of other involved physical parameters on temperature distribution and Nusselt number are presented and analyzed.
机译:本文提出了一种具有Caputo导数的空间分数阶热输运方程,以描述边界层流中无序多孔介质内纳米流体的对流传热。当考虑纳米颗粒的异常迁移对传热的影响时,自然会产生该方程。数值结果表明,四种不同纳米流体的局部Nusselt数均与分数导数指数β成反比。基于这一发现,可以得出结论,纳米粒子的异常扩散改善了纳米流体的对流传热,空间分数热传递方程可以作为研究纳米流体的候选模型。此外,还介绍并分析了其他涉及的物理参数对温度分布和Nusselt数的影响。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2018年第1期|622-634|共13页
  • 作者单位

    School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China;

    School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China,Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science, University of Science and Technology Beijing, Beijing 100083, China;

    School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia;

    School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;

    School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fractional calculus; Nanofluids; Caputo derivative; Random walks; Levy flights;

    机译:小数演算;纳米流体;Caputo衍生物;随机散步;征费航班;

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