Finite element computation of magnetohydrodynamic nanofluid convection from an oscillating inclined plate with radiative flux, heat source and variable temperature effects

Thirupathi Thumma, O. Bég, S. Sheri
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引用次数: 31

Abstract

This work describes finite element computations for radiative magnetohydrodynamic convective Newtonian nanofluid flow from an oscillating inclined porous plate with variable temperature. Heat source/sink and buoyancy effects are included in the mathematical model. The problem is formulated by employing Tiwari–Das nanofluid model, and two water-based nanofluids, copper and alumina, with spherical shaped metal nanoparticles are considered. The Brinkman and Maxwell–Garnetts models are used for the dynamic viscosity and effective thermal conductivity of the nanofluids, respectively. An algebraic flux model, the Rosseland diffusion approximation, is adopted to simulate thermal radiative flux effects. The dimensionless, coupled governing partial differential equations are numerically solved via the finite element method with weak variational formulation by imposing initial and boundary conditions with a weighted residual scheme. A grid independence study is also conducted. The finite element solutions are reduced to known previous solutions in some limiting cases of this investigation and are found to be in good agreement with published work. This investigation is relevant to electromagnetic nano-material manufacturing processes operating at high temperatures where radiation heat transfer is significant.
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具有辐射通量、热源和变温效应的摆动倾斜板磁流体动力对流的有限元计算
本文描述了辐射磁流体动力学对流牛顿纳米流体从一个振荡倾斜多孔板在变温度下流动的有限元计算。在数学模型中考虑了热源/汇效应和浮力效应。采用Tiwari-Das纳米流体模型,考虑了铜和氧化铝两种具有球形金属纳米颗粒的水基纳米流体。Brinkman和Maxwell-Garnetts模型分别用于纳米流体的动态粘度和有效导热系数。采用Rosseland扩散近似的代数通量模型来模拟热辐射通量效应。采用弱变分形式的有限元法,利用加权残差格式施加初始条件和边界条件,对无量纲耦合控制偏微分方程进行了数值求解。本文还进行了网格独立性研究。在本研究的一些极限情况下,有限元解被简化为已知的先前解,并发现与已发表的工作很好地一致。这项研究是有关电磁纳米材料制造工艺在高温下操作,辐射传热是显著的。
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来源期刊
CiteScore
6.00
自引率
1.70%
发文量
24
期刊介绍: Proceedings of the Institution of Mechanical Engineers Part N-Journal of Nanomaterials Nanoengineering and Nanosystems is a peer-reviewed scientific journal published since 2004 by SAGE Publications on behalf of the Institution of Mechanical Engineers. The journal focuses on research in the field of nanoengineering, nanoscience and nanotechnology and aims to publish high quality academic papers in this field. In addition, the journal is indexed in several reputable academic databases and abstracting services, including Scopus, Compendex, and CSA's Advanced Polymers Abstracts, Composites Industry Abstracts, and Earthquake Engineering Abstracts.
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