Department of Mathematis, College of Science, Princess Nora bint Abdul Rahman University, Riyadh, 11564, Saudi Arabia.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan.
Sci Rep. 2020 May 22;10(1):8488. doi: 10.1038/s41598-020-65278-5.
We considered the magnetized micro polar fluid with hybrid nanomaterial flow over a curved stretching surface. We discussed the effects of single wall carbon nanotube and multiwall carbon nanotube with base fluids (water and propylene glycol). Under the flow assumptions, we developed the mathematical model and applied the boundary layer approximations to reduce the system of partial differential equations. Further, the suitable similarity transformations are applied on the partial differential equations to make dimensionless system. The dimensionless system solved by means of numerical scheme via bvp4c shooting methods. Involving the dimensionless physical parameters effects are highlighted in the form of graphs and tables. Additionally, significant physical quantities i.e. Nusselt number, Couple stress coefficient and Skin friction coefficient are also presented and evaluated numerically. These results are more important which may use in the field of engineering and industrial.
我们考虑了带有混合纳米材料的磁化微极流体在弯曲拉伸表面上的流动。我们讨论了单壁碳纳米管和多壁碳纳米管在基液(水和丙二醇)中的影响。在流动假设下,我们建立了数学模型,并应用边界层近似来简化偏微分方程组。此外,还对偏微分方程应用合适的相似变换,将系统无量纲化。通过 bvp4c 打靶法对无量纲系统进行数值求解。以图表和表格的形式强调了无量纲物理参数的影响。此外,还数值呈现和评估了重要的物理量,即努塞尔数、偶应力系数和表面摩擦系数。这些结果在工程和工业领域可能具有重要的应用价值。