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Effects of homogeneous-heterogeneous reactions and thermal radiation on magneto-hydrodynamic Cu-water nanofluid flow over an expanding flat plate with non-uniform heat source

均相和非均相反应和热辐射对 Cu-水纳米流体在非均匀热源平板上磁流体力学的影响

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Abstract

This study presents the effect of non-uniform heat source on the magneto-hydrodynamic flow of nanofluid across an expanding plate with consideration of the homogeneous-heterogeneous reactions and thermal radiation effects. A nanofluid’s dynamic viscosity and effective thermal conductivity are specified with Corcione correlation. According to this correlation, the thermal conductivity is carried out by the Brownian motion. Similarity transformations reduce the governing equations concerned with energy, momentum, and concentration of nanofluid and then numerically solved. The influences of the effective parameters, e.g., the internal heat source parameters, the volume fraction of nanofluid, the radiation parameter, the homogeneous reaction parameter, the magnetic parameter, the heterogeneous parameter and the Schmidt number are studied on the heat and flow transfer features. Further, regarding the effective parameters of the present work, the correlation for the Nusselt number has been developed. The outcomes illustrate that with the raising of the heterogeneous parameter and the homogeneous reaction parameter, the concentration profile diminishes. In addition, the outcomes point to a reverse relationship between the Nusselt number and the internal heat source parameters.

摘要

考虑均相和非均相反应和热辐射效应, 研究了非均匀热源对纳米流体在膨胀板上流动的影响。 用Corcione 关系式描述了纳米流体的动力黏度和有效热导率的关系。根据这个关系式得出, 导热是由 布朗运动进行的。通过相似变换减少了与纳米流体的能量、动量和浓度有关的控制方程, 并进行数值 求解。研究了内热源参数、纳米流体的体积分数、辐射参数、均相反应参数、磁场参数、非均相参数 和Schmidt 数等对热和流体流动的影响。最后, 考虑研究中的有效参数, 改进了Nusselt 数的关系式。 结果表明, 随着非均相参数和均相反应参数的变大, 浓度曲线变稀。结果表明, Nusselt 数与内部热源 参数之间存在反向关系。

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Authors and Affiliations

  1. Department of Mechanical Engineering, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran

    A. S. Dogonchi, M. Hashemi-Tilehnoee & S. M. Seyyedi

  2. Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar, 31952, Saudi Arabia

    Ali J. Chamkha

  3. RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box, 10021, Ras Al Khaimah, United Arab Emirates

    Ali J. Chamkha

  4. Department of Electrical Engineering, Bahria University, Islamabad, Pakistan

    Rizwan-Ul-Haq

  5. Mechanical Engineering Department, Babol Noshirvani University of Technology, Babol, Iran

    D. D. Ganji

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  1. A. S. Dogonchi
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  3. M. Hashemi-Tilehnoee
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Dogonchi, A.S., Chamkha, A.J., Hashemi-Tilehnoee, M. et al. Effects of homogeneous-heterogeneous reactions and thermal radiation on magneto-hydrodynamic Cu-water nanofluid flow over an expanding flat plate with non-uniform heat source. J. Cent. South Univ. 26, 1161–1171 (2019). https://doi.org/10.1007/s11771-019-4078-7

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