Abstract Here we deliberate a new class of nano-material with two different types of nanoparticles which immensely magnify the thermo-physical properties and thermal transport proficiency of nano-liquid. Prandtl number exhibits a primitive role in regulating thermal or momentum boundary layer regions. Therefore, keeping such comprehensive spectrum in view we contemplated MHD natural convection flow of steady, 2D, incompressible nanoliquids of gamma alumina-water and gamma alumina-EG towards a solid heated sphere. Viscosity is supposed to be temperature dependent. Governing non-linear PDEs are formed. To renovate the PDEs into system of ODEs a felicitous transformation has been employed. The converted non-linear equations are executed numerically via BVP4C. The numerical conclusions derived for velocity and thermal distributions are perceived through graphs for two different cases, effective Prandtl number and without effective Prandtl number. A careful consideration of preceding dissertation discloses that, the significance of an empirical based Prandtl number model on the boundary layer flow of gamma alumina-water and gamma alumina-EG on a solid sphere with temperature dependent viscosity is not examined yet. A comparison reveals that gamma alumina-EG offers better thermal transfer enhancement than gamma alumina-water. Entropy generation number N s is the ratio of local volumetric entropy generation rate to the characteristic entropy generation rate. Entropy generation analysis is also perceived and the behavior of G r number relative to entropy generation number N s is also presented. A parametric analysis of the substantial parameters such as magnetic field parameter M , nanoparticle volume fraction parameter ω temperature parameter θ r and G r number are ascertained and representative set of numerical examination for thermal and velocity distributions are depicted graphically to present the influential features of the solutions.

中文翻译：

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γ氧化铝-水和γ氧化铝-EG纳米流体在固体球附近流动的简要比较研究

摘要 在这里，我们研究了一类具有两种不同类型纳米颗粒的新型纳米材料，它们极大地放大了纳米液体的热物理特性和热传输效率。普朗特数在调节热或动量边界层区域方面发挥着原始作用。因此，考虑到如此全面的光谱，我们考虑了稳定的、二维的、不可压缩的γ氧化铝-水和γ氧化铝-EG纳米液体的MHD自然对流流向固体加热球。粘度应该与温度有关。形成了控制非线性偏微分方程。为了将 PDE 更新为 ODE 系统，我们采用了适当的转换。转换后的非线性方程通过 BVP4C 以数字方式执行。速度和热分布的数值结论可以通过两种不同情况的图表来理解，有效普朗特数和没有有效普朗特数。对先前论文的仔细考虑表明，基于经验的普朗特数模型对具有温度相关粘度的固体球体上 γ 氧化铝-水和 γ 氧化铝-EG 边界层流动的重要性尚未研究。比较表明伽马氧化铝-EG 提供比伽马氧化铝-水更好的热传递增强。熵生成数 N s 是局部体积熵生成率与特征熵生成率的比值。还可以感知熵生成分析，并且还介绍了 G r 数相对于熵生成数 N s 的行为。