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首页> 外文期刊>International Journal of Heat and Mass Transfer >Magneto convection in a nanofluid layer
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Magneto convection in a nanofluid layer

机译：纳米流体层中的磁对流

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The paper presents a linear stability analysis for the onset of convection in a nanofluid layer with magnetic field. The nanofluid layer incorporates the effect of Brownian motion along with thermophoresis. System of nanofluid layer in which nanoparticles concentrate near the bottom of the layer has been considered. The density gradient caused by such a bottom heavy nanoparticle distribution competes with the density variation caused by heating from the bottom as a result of which the mode of instability is oscillatory rather than stationary convection. It is established that the instability is almost purely a phenomenon due to buoyancy coupled with the conservation of nanoparticles. It is independent of the contribution of Brownian motion and thermophoresis to the thermal energy equation. Rather, the Brownian motion and thermophoresis enter to produce their effects directly into the equation expressing the conservation of nanoparticles so that the temperature and particle density are coupled in a particular way, and that results in the thermal and concentration buoyancy effects being coupled in the same way. Both stationary and oscillatory convection are investigated using normal mode technique. It is found that instability sets in as oscillatory motions rather than stationary convection. The effects of the Lewis number (Le), Concentration Rayleigh number (Rn), Modified diffusivity ratio (N_A), magnetic field (Q) on the stability of the system has been investigated. Magnetic field is found to stabilize the nanofluid layer for both the cases: the stationary convection and the oscillatory motions. The effect of various parameters on thermal Rayleigh number has been presented graphically.
机译：本文针对具有磁场的纳米流体层中对流的开始进行了线性稳定性分析。纳米流体层结合了布朗运动和热泳的作用。已经考虑了纳米流体层系统，其中纳米颗粒集中在该层的底部附近。由这种底部重的纳米颗粒分布引起的密度梯度与由底部加热引起的密度变化相抗衡，其结果是不稳定模式是振荡的而不是平稳的对流。已经证实，不稳定性几乎完全是由于浮力和纳米颗粒的守恒引起的现象。它与布朗运动和热泳对热能方程的贡献无关。相反，布朗运动和热泳直接将其影响产生到表示纳米颗粒守恒性的方程中，从而使温度和颗粒密度以特定方式耦合，从而导致热浮力和浓度浮力效应以相同的方式耦合。道路。稳态和振荡对流都使用普通模式技术进行了研究。发现不稳定性以振荡运动而不是平稳对流引起。研究了路易斯数（Le），浓度瑞利数（Rn），修正扩散率（N_A），磁场（Q）对系统稳定性的影响。在这两种情况下，发现磁场都能稳定纳米流体层：固定对流和振荡运动。各种参数对热瑞利数的影响已用图形表示。

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