Purpose

This study aims to deal with the numerical investigation of ferrofluid flow and heat transfer inside a right-angle triangular cavity in the presence of a magnetic field. The vertical wall is partially heated, whereas other walls are kept cold. The effects of thermal radiation are included in the analysis. The governing equations including continuity, momentum and energy equations are converted to nondimensional form using viable variables.

Design/methodology/approach

Finite element method (FEM)-based simulations are performed using finite element approach to investigate the effects of the volume fraction of ferroparticles (Fe₃O₄), the length of the heating element and the dimensionless numbers including Rayleigh and Hartmann numbers on the streamlines, isotherms and Nusselt number.

Findings

It is demonstrated that both horizontal and vertical velocity components increase with the length of the heating element, whereas the dimensionless temperature decreases the heating domain. It is observed that an increase of 10% in the volume fraction of ferroparticles increases Nusselt number more than 12%, and 20% increase in the volume fraction of ferroparticles increases more than 30%, depending upon the length of the heating element.

Originality/value

This is a new study showing the significance of the magnetic nanoparticles for the enhancement of heat transfer rate in a triangular cavity.

中文翻译：

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部分受热三角腔内水基铁磁流体流动的有限元分析

目的

本研究旨在对存在磁场的直角三角形腔内的铁磁流体流动和传热进行数值研究。垂直壁被部分加热，而其他壁保持冷却。分析中包括了热辐射的影响。使用可行变量将包括连续性、动量和能量方程在内的控制方程转换为无量纲形式。

设计/方法/方法

使用有限元方法进行基于有限元法 (FEM) 的模拟，以研究铁粒子 (Fe ₃ O ₄ )的体积分数、加热元件的长度和无量纲数（包括瑞利数和哈特曼数）对流线的影响、等温线和努塞尔数。

发现

结果表明，水平和垂直速度分量都随着加热元件的长度而增加，而无量纲温度会降低加热域。据观察，铁粒子体积分数增加 10% 会使努塞尔数增加 12% 以上，铁粒子体积分数增加 20% 会增加 30% 以上，这取决于加热元件的长度。

原创性/价值

这是一项新的研究，表明磁性纳米粒子对于提高三角形腔中的传热率的重要性。