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首页> 外文期刊>International Journal of Heat and Mass Transfer >Buoyancy driven convection of nanofluids in an infinitely long channel under the effect of a magnetic field
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Buoyancy driven convection of nanofluids in an infinitely long channel under the effect of a magnetic field

机译：磁场作用下无限长通道中纳米流体的浮力驱动对流

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摘要

In this paper, we have proposed a theoretical analysis to investigate buoyancy driven convection of nanofluids in an infinitely long channel under superimposed magnetic field. We derive closed form analytical solutions for the magnetohydrodynamic flow and temperature field under two distinctive wall boundary conditions. Proceeding further ahead, we also present an analysis for the total entropy generation due to magnetohydrodynamic fluid friction and heat transfer irreversibilities. Utilizing water based Al_2O_3 nanofluids, results are shown for the following range of conditions as 0 ≤ Ha ≤ 50, 0 ≤ φ ≤ 4% and 10~3 ≤ Gr≤ 10~5. It is revealed that magnetohydrodynamic effect reduces flow strength. Likewise the case of the velocity profiles, magnetic effect reduces the magnitude of temperature distribution. Total entropy generation shows decreasing trend when the volume fraction of the nanofluids is increased. Increasing nanoparticle size results in increasing total entropy generation and the Bejan number.
机译：在本文中，我们提出了理论分析来研究在叠加磁场下无限长通道中纳米流体的浮力驱动对流。我们导出了在两种不同的壁边界条件下磁流体动力流和温度场的封闭形式解析解。进一步前进，我们还对由于磁流体动力流体摩擦和传热不可逆性而产生的总熵进行了分析。使用水基Al_2O_3纳米流体，在以下条件范围内显示结果：0≤Ha≤50、0≤φ≤4％和10〜3≤Gr≤10〜5。揭示了磁流体动力学效应降低了流动强度。同样，在速度分布的情况下，磁效应会降低温度分布的幅度。当纳米流体的体积分数增加时，总熵产生显示出减小的趋势。纳米粒子尺寸的增加导致总熵的产生和Bejan数的增加。

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