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Numerical simulation for Darcy-Forchheimer 3D rotating flow subject to binary chemical reaction and Arrhenius activation energy

基于二元化学反应和 Arrhenius 活化能的 Darcy-Forchheimer 流体三维旋转数值模拟

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Abstract

Three-dimensional Darcy-Forchheimer nanoliquid flow in the presence of rotating frame and activation energy is inspected. Flow is developed through linearly stretching of the surface. Convection of heat and mass exchange is given due consideration. The novel characteristics in regards to Brownian dispersion and thermophoresis are retained. The variation in partial differential framework (PDEs) to nonlinear ordinary differential framework (ODEs) is done through reasonable transformations. Governing differential frameworks have been computed in edge of NDSolve. Discussion regarding thermal field and concentration distribution for several involved parameters is pivotal part. Physical amounts like surface drag coefficients, transfer of heat and mass rates are portrayed by numeric esteems. It is noticed that impacts of porosity parameter and Forchheimer number on the thermal and concentration fields are quite similar. Both temperature and associated thermal layer thickness are enhanced for larger porosity parameter and Forchheimer number. Temperature and concentration fields exhibit similar trend for the higher values of rotational parameter. Effects of thermal and concentration Biot numbers on the temperature and concentration fields are qualitatively similar. Higher Prandtl and Schmidt numbers correspond to stronger temperature and concentration fields. Larger nondimensional activation energy, temperature difference parameter and fitted rate constant yield weaker concentration field. Brownian motion parameter for temperature and concentration has reverse effects while similar trend is observed via thermophoresis parameter.

摘要

研究了旋转框架和活化能存在下的三维Darcy-Forchheimer 纳米流动。考虑了热对流和质量交换, 保留了布朗色散和热泳的新特征。通过合理的变换实现了偏微分系统(PDES)向非线性常微分系统(ODES)的转换。选择 NDSolve 的边界条件, 计算了控制差分方程。重点讨论了几个相关参数下的热场和浓度分布。用数值来描述表面阻力系数、热量传递和质量交换率等物理量。结果表明, 孔隙度和 Forchheimer 数对热场和浓度场的影响是相似的。随着孔隙度的增大和 Forchheimer 数的增加, 温度升高和相应的热层厚度增大。温度场和浓度场随着旋转角的增大而呈现相似的变化趋势。热和浓度 Biot数对温度场和浓度场的影响在本质上是相似的。较高的 Prandtl 和 Schmidt 数对应较强的温度场和浓度场。较大的无量纲活化能、温差和拟合速率常数对应较弱的浓度场。布朗运动参数对温度和浓度的作用是相反的, 而热泳参数的作用是相似的。

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Authors and Affiliations

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

    Tasawar Hayat & Arsalan Aziz

  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

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Correspondence to Arsalan Aziz.

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Hayat, T., Aziz, A., Muhammad, T. et al. Numerical simulation for Darcy-Forchheimer 3D rotating flow subject to binary chemical reaction and Arrhenius activation energy. J. Cent. South Univ. 26, 1250–1259 (2019). https://doi.org/10.1007/s11771-019-4084-9

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