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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >A hybrid investigation on numerical and analytical solutions of electro-magnetohydrodynamics flow of nanofluid through porous media with entropy generation
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A hybrid investigation on numerical and analytical solutions of electro-magnetohydrodynamics flow of nanofluid through porous media with entropy generation

机译：纳米流体电磁流体动力学流动与熵生成多孔介质的数值和分析解的混合研究

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摘要

Purpose - The purpose of this paper is to present the investigation of the pressure-driven flow of aluminum oxide-water based nanofluid with the combined effect of entropy generation and radiative electro-magnetohydrodynamics filled with porous media inside a symmetric wavy channel. Design/methodology/approach - The non-linear coupled differential equations are first converted into a number of ordinary differential equations with appropriate transformations and then analytical solutions are obtained by homotopic approach. Numerical simulation has been designed by the most efficient approach known homotopic-based Mathematica package BVPh 2.0 technique. The long wavelength approximation over the channel walls is taken into account. The obtained analytical results have been validated through graphs to infer the role of most involved pertinent parameters, whereas the characteristics of heat transfer and shear stress phenomena are presented and examined numerically. Findings - It is found that the velocity profile decreases near to the channel. This is in accordance with the physical expectation because resistive force acts opposite the direction of fluid motion, which causes a decrease in velocity. It is seen that when the electromagnetic parameter increases then the velocity close to the central walls decreases whereas quite an opposite behavior is noted near to the walls. This happens because of the combined influence of electro-magnetohydrodynamics. It is perceived that by increasing the magnetic field parameter, Darcy number, radiation parameter, electromagnetic parameter and the temperature profile increases, and this is because of thermal buoyancy effect. For radiation and electromagnetic parameters, energy loss at the lower wall has substantial impact compared to the upper wall. Residual error minimizes at 20th order iterations.Originality/value - The proposed prospective model is designed to explore the simultaneous effects of aluminum oxide-water base nanofiuid, electro-magnetohydrodynamics and entropy generation through porous media. To the best of author's knowledge, this model is reported for the first time.
机译：目的 - 本文的目的是介绍氧化铝基纳流体纳米流体的压力驱动流动，其熵产生和辐射电磁流体动力学在对称波浪通道内填充多孔介质的综合作用。设计/方法/方法 - 首先将非线性耦合微分方程转换成具有适当变换的多个常微分方程，然后通过同型方法获得分析解决方案。通过最有效的方法已知的基于同型Mathematica封装BVPH 2.0技术设计了数值模拟。考虑到沟道壁的长波长近似。通过曲线图验证了所获得的分析结果以推断最涉及的相关参数的作用，而在数值上呈现并检查传热和剪切应力现象的特征。结果 - 发现速度曲线靠近通道。这是根据物理期望的，因为电阻力与流体运动的方向相反，这导致速度降低。可以看出，当电磁参数增加时，靠近中心壁的靠近中心壁的速度降低，而靠近壁靠近相反的行为。这发生了由于电磁流体动力学的综合影响。通过增加磁场参数，达西数，辐射参数，电磁参数和温度曲线的增加，这是因为热浮力效应。对于辐射和电磁参数，与上墙相比，下壁的能量损失具有显着的影响。剩余误差最小化20次阶段迭代。概述/值 - 拟议的预期模型旨在通过多孔介质探讨氧化铝 - 水基础纳米硫体，电磁流体动力学和熵产生的同时效果。据作者的知识，第一次报告该模型。

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  • 作者

    R. Ellahi; Sadiq M. Sait; N. Shehzad; Z. Ayaz;

  • 作者单位

    Center for Modeling and Computer Simulation Research Institute King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia and Department of Mathematics and Statistics Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI) Islamabad Pakistan;

    Center for Communications and IT Research Research Institute King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia;

    Department of Mathematics and Statistics Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI) Islamabad Pakistan;

    Department of Mathematics and Statistics Faculty of Basic and Applied Sciences (FBAS) International Islamic University Islamabad (IIUI) Islamabad Pakistan;

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  • 正文语种 eng
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  • 关键词

    Thermal radiation; Magnetic field; Nanofluid; Porous media; Entropy generation; Convergence analysis; Mathematica package BVPh 2.0 software;

    机译：热辐射;磁场;纳米流体;多孔介质;熵生成;收敛分析;Mathematica Package Bvph 2.0软件;

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