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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Magnetic field effect on the unsteady natural convection in a right-angle trapezoidal cavity filled with a nanofluid: Buongiorno's mathematical model
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Magnetic field effect on the unsteady natural convection in a right-angle trapezoidal cavity filled with a nanofluid: Buongiorno's mathematical model

机译：磁场对充满纳米流体的直角梯形腔中非稳态自然对流的影响：Buongiorno数学模型

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Purpose - Unsteady natural convection of water-based nanofluid within a right-angle trapezoidal cavity under the influence of a uniform inclined magnetic field using the mathematical nanofluid model proposed by Buongiorno is presented. The paper aims to discuss these issues. Design/methodology/approach - The left vertical and right inclined walls of the enclosure are kept at constant but different temperatures whereas the top and bottom horizontal walls are adiabatic. All boundaries are assumed to be impermeable to the base fluid and to nanoparticles. In order to study the behavior of the nanofluid, a non-homogeneous Buongiorno's mathematical model is taken into account. The physical problems are represented mathematically by a set of partial differential equations along with the corresponding boundary conditions. By using an implicit finite difference scheme the dimensionless governing equations are numerically solved. Findings - The governing parameters are the Rayleigh, Hartmann and Lewis numbers along with the inclination angle of the magnetic field relative to the gravity vector, the aspect ratio and the dimensionless time. The effects of these parameters on the average Nusselt number along the hot wall, as well as on the developments of streamlines, isotherms and isoconcentrations are analyzed. The results show that key parameters have substantial effects on the flow, heat and mass transfer characteristics. Originality/value - The present results are new and original for the heat transfer and fluid flow in a right-angle trapezoidal cavity under the influence of a uniform inclined magnetic field using the mathematical nanofluid model proposed by Buongiorno. The results would benefit scientists and engineers to become familiar with the flow behavior of such nanofluids, and the way to predict the properties of this flow for possibility of using nanofluids in advanced nuclear systems, in industrial sectors including transportation, power generation, chemical sectors, ventilation, air-conditioning, etc.
机译：目的-利用Buongiorno提出的数学纳米流体模型，提出了在均匀倾斜磁场的影响下，直角梯形腔内的水性纳米流体的非稳态自然对流。本文旨在讨论这些问题。设计/方法/方法-机柜的左垂直壁和右倾斜壁保持恒定但温度不同，而顶部和底部水平壁则是绝热的。假定所有边界对于基础流体和纳米颗粒都是不可渗透的。为了研究纳米流体的行为，考虑了非均匀Buongiorno的数学模型。物理问题由一组偏微分方程以及相应的边界条件数学表示。通过使用隐式有限差分方案，可以对无量纲控制方程进行数值求解。发现-控制参数是瑞利，哈特曼和刘易斯数，以及磁场相对于重力矢量的倾斜角，纵横比和无量纲时间。分析了这些参数对沿热壁的平均Nusselt数以及流线，等温线和等浓度线发展的影响。结果表明，关键参数对流动，传热和传质特性有很大影响。原创性/价值-使用Buongiorno提出的数学纳米流体模型，在均匀倾斜磁场的影响下，直角梯形腔中的传热和流体流动的最新结果是新颖的。该结果将有利于科学家和工程师熟悉此类纳米流体的流动行为，以及预测这种流动特性的方式，从而有可能在先进的核系统，交通运输，发电，化工等工业部门中使用纳米流体，通风，空调等

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