Mabood F, Yusuf T A, Bognár Gabriella
Department of Information Technology, Fanshawe College London, London, ON, N5Y 5R6, Canada.
Department of Mathematics, University of Ilorin, Ilorin, Kwara State, Nigeria.
Sci Rep. 2020 Nov 5;10(1):19163. doi: 10.1038/s41598-020-76133-y.
Numerical analysis is performed for magnetohydrodynamics (MHD) couple stress nanofluid flow over a stretching sheet with melting and nonlinear radiation. The second law of thermodynamics is also incorporated with first-order slip. Nanofluid characteristics for thermophoresis and Brownian moments are encountered. The system that comprises differential equations of partial derivatives is remodeled into the system of differential equations via similarity transformations and then solved numerically through the Runge-Kutta-Fehlberg fourth-fifth (RKF-45) order technique. The physical parameters, which emerges from the derived system are discussed in graphical format. The significant outcomes of the current investigation are that the velocity field decays for a higher magnetic parameter. Another, important outcome of the study is both temperature and concentration are increasing functions of the first-order slip. Nusselt and Sherwood numbers are decreasing with an increase in magnetic strength. Further, Bejan number augment due to enhancement in the first-order slip and couple stress fluid parameters whereas a differing tendency is shown for magnetic and radiation parameters.
对具有熔化和非线性辐射的拉伸片上的磁流体动力学（MHD）耦合应力纳米流体流动进行了数值分析。热力学第二定律也与一阶滑移相结合。考虑了热泳和布朗运动的纳米流体特性。通过相似变换将包含偏微分方程的系统重新建模为微分方程组，然后通过龙格 - 库塔 - 费尔贝格四阶 - 五阶（RKF - 45）技术进行数值求解。以图形形式讨论了从导出系统中出现的物理参数。当前研究的重要结果是，对于较高的磁参数，速度场衰减。此外，该研究的另一个重要结果是温度和浓度都是一阶滑移的增函数。努塞尔数和舍伍德数随着磁场强度的增加而减小。此外，由于一阶滑移和耦合应力流体参数的增强，贝扬数增大，而对于磁参数和辐射参数则表现出不同的趋势。
