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Study of Brinkman-Benard nanofluid convection with idealistic and realistic boundary conditions and by considering the effects of shape of nanoparticles

机译：纳米粒子形状效应的理想与现实边界条件Brinkman-Benard纳米流体对流研究

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摘要

This study deals with linear and weakly non-linear stability analyses of Brinkman-Benard convection in nanoliquid-saturated porous enclosures. Water with a dilute concentration of molybdenum dis-ulfide nanoparticles with 0.06 volume fraction and 30% glass fiber-reinforced polycarbonate as a porous medium with porosity 0.88 are considered to be a working medium. The analytical solution is obtained in the present study for idealistic and realistic boundary conditions, and their results are compared. An analytically intractable Lorenz model with quadratic nonlinearities is reduced to a tractable Ginzburg-Landau amplitude equation with cubic nonlinearity using the multiscale method. Nanoparticles with different shapes are considered in the study, and their effects on the onset and heat transfer are discussed in great detail graphically in the presence of other parameters arising in the problem.
机译：该研究涉及在纳米喹吖啶饱和多孔外壳中Brinkman-Benard对流的线性和弱线性稳定性分析。 具有0.06体积分数和30％玻璃纤维增强聚碳酸酯的钼含钼纳米颗粒的水作为多孔介质为0.88，被认为是工作介质。 分析解决方案是在本研究中获得理想化和现实边界条件的研究，并比较它们的结果。 使用多尺度方法将具有二次非线性的分析棘手的Lorenz模型减少到具有立方非线性的贸易林堡 - Landau幅度方程。 在研究中考虑具有不同形状的纳米颗粒，并且它们对发作和传热的影响是在问题的其他参数存在下以图形方式进行详细讨论。

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