Ullah Imran, Khan Ilyas, Shafie Sharidan
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM, Johor Bahru, Johor, Malaysia.
Basic Sciences Department, College of Engineering, Majmaah University, Majmaah, 11952, Saudi Arabia.
Nanoscale Res Lett. 2016 Dec;11(1):527. doi: 10.1186/s11671-016-1745-6. Epub 2016 Nov 28.
In the present work, the effects of chemical reaction on hydromagnetic natural convection flow of Casson nanofluid induced due to nonlinearly stretching sheet immersed in a porous medium under the influence of thermal radiation and convective boundary condition are performed numerically. Moreover, the effects of velocity slip at stretching sheet wall are also examined in this study. The highly nonlinear-coupled governing equations are converted to nonlinear ordinary differential equations via similarity transformations. The transformed governing equations are then solved numerically using the Keller box method and graphical results for velocity, temperature, and nanoparticle concentration as well as wall shear stress, heat, and mass transfer rate are achieved through MATLAB software. Numerical results for the wall shear stress and heat transfer rate are presented in tabular form and compared with previously published work. Comparison reveals that the results are in good agreement. Findings of this work demonstrate that Casson fluids are better to control the temperature and nanoparticle concentration as compared to Newtonian fluid when the sheet is stretched in a nonlinear way. Also, the presence of suspended nanoparticles effectively promotes the heat transfer mechanism in the base fluid.
在本工作中，对浸没在多孔介质中的非线性拉伸薄板在热辐射和对流边界条件影响下引起的卡森纳米流体的磁流体自然对流流动中的化学反应效应进行了数值研究。此外，本研究还考察了拉伸薄板壁处速度滑移的影响。通过相似变换将高度非线性耦合的控制方程转化为非线性常微分方程。然后使用凯勒盒法对变换后的控制方程进行数值求解，并通过MATLAB软件获得速度、温度和纳米颗粒浓度以及壁面剪应力、热传递和质量传递速率的图形结果。壁面剪应力和热传递速率的数值结果以表格形式给出，并与先前发表的工作进行比较。比较结果表明两者吻合良好。本工作的研究结果表明，当薄板以非线性方式拉伸时，与牛顿流体相比，卡森流体在控制温度和纳米颗粒浓度方面表现更好。此外，悬浮纳米颗粒的存在有效地促进了基液中的热传递机制。
