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首页> 外文期刊>Physics of fluids >Flow and heat transfer characteristics of a nanofluid between a square enclosure and a wavy wall obstacle
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Flow and heat transfer characteristics of a nanofluid between a square enclosure and a wavy wall obstacle

机译：方形外壳与波浪壁障碍物之间纳米流体的流动和传热特性

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摘要

A mathematical model for the natural convection flow and heat transfer of a nanofluid in an annulus enclosed by a square cylinder and a wavy wall cylinder is developed. Using vorticity-stream function formulation, we first derive governing equations in the Cartesian coordinates. Then, these equations are transformed utilizing coordinate transformations into a system of equations valid for the present physical domain. The problem is solved using the finite difference method. It is found that for higher values of the volume fraction of nanoparticles, the number of undulations of the wavy wall of the inner cylinder and Rayleigh number, the strength of streamlines significantly increases. However, the amplitude of undulations diminishes the intensity of streamlines. The isotherms are also strongly influenced by these parameters. Contrary to this, the Nusselt number at the inner and outer cylinders is remarkably increased due to the increase of the volume fraction of nanoparticles, amplitude of undulations, and Rayleigh number. For the higher volume fraction of nanoparticles and Rayleigh number, the average Nusselt number at the inner and outer cylinders is higher. The maximum and minimum values of the velocity profile increase with the higher Rayleigh number. Nevertheless, the converse scenario is observed for the larger amplitude of undulation and volume fraction of nanoparticles. The temperature near the inner cylinder noticeably decreases with the increase of the Rayleigh number, whereas it slowly reduces for higher amplitude of undulations. Above all, this investigation might be helpful for the researchers in regard to the approach of making a more complex geometry by using coordinate transformations. Furthermore, the results could provide vital information about the problems in current technological applications. Published under license by AIP Publishing.
机译：开发了由方形圆筒包围的环形载环中纳米流体的自然对流流量和传热的数学模型，以及波浪壁筒。使用Vorticity-Stream功能配方，我们首先导出笛卡尔坐标的控制方程。然后，将这些等式用于将坐标变换转换为对本物理域有效的等式系统。使用有限差分法解决了问题。结果发现，对于纳米颗粒的体积分数的更​​高值，内筒和瑞利数的波浪壁的起伏的数量，流线的强度显着增加。然而，波浪的幅度减小了流线的强度。等温线也受这些参数的强烈影响。与此相反，由于纳米颗粒的体积分数，波形的幅度和瑞利数的增加，内外圆筒处的泡沫数量显着增加。对于纳米颗粒和瑞利数的较高体积分数，内圆柱和外圆柱体处的平均衬布数更高。速度曲线的最大值和最小值随着瑞利数越高的速度。然而，对于纳米颗粒的较大幅度和体积分数的较大幅度观察到逆转场景。随着瑞利数的增加，内筒附近的温度明显降低，而它慢慢减少了更高的起伏幅度。最重要的是，这项调查可能对研究人员有所帮助地通过使用坐标转换来制造更复杂的几何形状的方法。此外，结果可以提供关于当前技术应用中问题的重要信息。通过AIP发布在许可证下发布。

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