A numerical study is performed to investigate nanofluids' flow field and heat transfer characteristics between the domain bounded by a square and a wavy cylinder. The left and right walls of the cavity are at constant low temperature while its other adjacent walls are insulated. The convective phenomena take place due to the higher temperature of the inner corrugated surface. Super elliptic functions are used to transform the governing equations of the classical rectangular enclosure into a system of equations valid for concentric cylinders. The resulting equations are solved iteratively with the implicit finite difference method. Parametric results are presented in terms of streamlines, isotherms, local and average Nusselt numbers for a wide range of scaled parameters such as nanoparticles concentration, Rayleigh number, and aspect ratio. Several correlations have been deduced at the inner and outer surface of the cylinders for the average Nusselt number, which gives a good agreement when compared against the numerical results. The strength of the streamlines increases significantly due to an increase in the aspect ratio of the inner cylinder and the Rayleigh number. As the concentration of nanoparticles increases, the average Nusselt number at the internal and external cylinders becomes stronger. In addition, the average Nusselt number for the entire Rayleigh number range gets enhanced when plotted against the volume fraction of the nanofluid.

进行数值研究以研究纳米流体的流场和由方形和波浪形圆柱体包围的域之间的传热特性。腔体的左右壁处于恒定的低温，而其他相邻壁是隔热的。对流现象的发生是由于内波纹表面的温度较高。超椭圆函数用于将经典矩形外壳的控制方程转换为对同心圆柱有效的方程组。所得方程用隐式有限差分法迭代求解。参数结果以流线、等温线、局部和平均努塞尔数的形式呈现，适用于各种缩放参数，例如纳米颗粒浓度、瑞利数和纵横比。已经在圆柱体的内表面和外表面推导出了平均 Nusselt 数的几个相关性，与数值结果相比，这给出了很好的一致性。由于内圆柱的纵横比和瑞利数的增加，流线的强度显着增加。随着纳米粒子浓度的增加，内圆柱和外圆柱的平均努塞尔数变得更强。此外，当针对纳米流体的体积分数作图时，整个瑞利数范围的平均努塞尔数得到增强。由于内圆柱的纵横比和瑞利数的增加，流线的强度显着增加。随着纳米粒子浓度的增加，内圆柱和外圆柱的平均努塞尔数变得更强。此外，当针对纳米流体的体积分数作图时，整个瑞利数范围的平均努塞尔数得到增强。由于内圆柱的纵横比和瑞利数的增加，流线的强度显着增加。随着纳米粒子浓度的增加，内圆柱和外圆柱的平均努塞尔数变得更强。此外，当针对纳米流体的体积分数作图时，整个瑞利数范围的平均努塞尔数得到增强。