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Study of Entropy Generation and Magnetohydrodynamic (MHD) Natural Convection in a Curved Enclosure Having Various Amplitude and Filled with Cu-TiO2/Water Hybrid Nanofluid

机译:熵的生成和学习磁流体动力(磁流体动力)中自然对流弯曲不同的振幅和外壳充满Cu-TiO2 /水混合Nanofluid

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摘要

We have studied the buoyancy-driven convection enhancement and entropy production in a Cu-TiO2/water (water with copper and titanium dioxide nanoparticles) hybrid nanofluid filled curved enclosure subjected to a uniform magnetic field. The enclosure has a sinusoidally heated right wall, cold left wall, uniformly heated bottom wall, and thermally insulated upper curved wall. The effect of different amplitudes (concave, square, and convex) of the upper curved wall is considered. The non-linear governing equations are non-dimensionalized and written in stream function-velocity formulation. Bi Conjugate Gradient Stabilized (BiCGStab) method is employed followed by a Tri-diagonal matrix algorithm (TDMA) for the numerical simulation. The considered parameters are as follows: Rayleigh number (Ra), Hartmann number (Ha), phase angle (epsilon), the amplitude of the curved wall (a), and nanoparticle volume fraction (phi). The influence of the model parameters on entropy production, fluid flow, and heat transfer phenomenon has been investigated, and the simulated results are displayed in terms of flow fields and temperature fields. According to the studies, increasing the Rayleigh number and volume percentage of nanoparticles has a significant impact on heat transmission and hence dominates the convection effect, whereas increasing the Hartmann number has the opposite effect.
机译:我们已经研究了浮力对流增强和熵产生Cu-TiO2 /水(水与铜和钛二氧化碳纳米粒子)混合nanofluid填满弯外壳均匀磁场字段。右墙,冷左墙,均匀加热下盘,热绝缘上弯曲墙。(凹、广场和凸)的曲线墙被认为是。方程non-dimensionalized和编写的流function-velocity配方。共轭梯度稳定(BiCGStab)方法采用了Tri-diagonal矩阵数值模拟算法(TDMA)。考虑参数如下:瑞利数(Ra),哈特曼数(Ha)阶段弯曲的角(ε),振幅墙(一)和纳米粒子体积分数(φ)。模型参数对熵的影响生产、流体流动和传热现象已经被调查,模拟结果显示在流场和温度场。研究中,增加了瑞利数和纳米颗粒的体积百分率对传热,从而产生巨大的影响主导着对流效应,而增加了哈特曼数相反的效果。

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