Abbas Khan Aamir, Naveed Khan Muhammad, Ahammad Nandalur Ameer, Ashraf Muhammad, Guedri Kamel, Galal Ahmed M
Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
J Appl Biomater Funct Mater. 2022 Jan-Dec;20:22808000221089782. doi: 10.1177/22808000221089782.
This article mainly focuses on the influence of heat and mass transportation of micropolar second grade nanofluid toward porous medium of an exponentially stretched surface. The significance of activation energy and viscous dissipation with magnetic effect are taken into deliberated. Furthermore, to analyze the heat and mass transport scrutiny the concentration and thermal slip boundary conditions are assessed on the surface of the sheet. The convenient similarity variables are adopted to transfer the non-linear governing PDEs into the dimensionless ODEs and their corresponding boundary conditions also transformed. The nonlinear coupled ODEs are numerically solved by the usage of BVP4C MATLAB technique. The obtained numerical estimations are displayed graphically to display the significance of the various parameters against the velocity, temperature, microrotation, concentration distributions. It is noticed that larger estimations of micropolar and second grade parameter improves the fluid velocity consequently, while opposite trend is found for the higher estimation of porous medium parameter. Further, it is observed that the skin friction rate is boosted by the increment of and , whereas opposite trend is noted against the mass transfer rate and heat transfer rate.
本文主要关注微极二级纳米流体的热质传递对指数拉伸表面多孔介质的影响。考虑了活化能和粘性耗散与磁效应的重要性。此外，为了分析热质传递，在薄板表面评估了浓度和热滑移边界条件。采用方便的相似变量将非线性控制偏微分方程转换为无量纲常微分方程，其相应的边界条件也进行了转换。使用MATLAB中的BVP4C技术对非线性耦合常微分方程进行数值求解。以图形方式显示获得的数值估计，以展示各种参数对速度、温度、微旋转、浓度分布的重要性。可以注意到，微极参数和二级参数的较大估计值会相应地提高流体速度，而对于多孔介质参数的较高估计值则发现相反的趋势。此外，观察到表面摩擦率随着 和 的增加而提高，而对于传质率和传热率则发现相反的趋势。
