Jafar Ahmad Banji, Shafie Sharidan, Ullah Imran
Department of Mathematics, Kebbi State University of Science and Technology, Aliero, P.M.B. 1144, Birnin Kebbi, Kebbi State, Nigeria.
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Skudai, Johor Bahru, Malaysia.
Heliyon. 2020 Jun 26;6(6):e04201. doi: 10.1016/j.heliyon.2020.e04201. eCollection 2020 Jun.
In this article, we numerically investigate the influence of thermal radiation and heat generation on the flow of an electrically conducting nanofluid past a nonlinear stretching sheet through a porous medium with frictional heating. The partial differential equations governing the flow problems are reduced to ordinary differential equations via similarity variables. The reduced equations are then solved numerically with the aid of Keller box method. The influence of physical parameters such as nanoparticle volume fraction , permeability parameter , nonlinear stretching sheet parameter , magnetic field parameter , heat generation parameter and Eckert number on the flow field, temperature distribution, skin friction and Nusselt number are studied and presented in graphical illustrations and tabular forms. The results obtained reveal that there is an enhancement in the rate of heat transfer with the rise in nanoparticle volume fraction and permeability parameter. The temperature distribution is also influenced with the presence of , , and . This shows that the solid volume fraction of nanoparticle can be used in controlling the behaviours of heat transfer and nanofluid flows.
在本文中，我们通过数值研究热辐射和热生成对一种导电纳米流体在存在摩擦热的情况下通过多孔介质流过非线性拉伸片材的流动的影响。通过相似变量将控制流动问题的偏微分方程简化为常微分方程。然后借助凯勒盒法对简化后的方程进行数值求解。研究了诸如纳米颗粒体积分数、渗透率参数、非线性拉伸片材参数、磁场参数、热生成参数和埃克特数等物理参数对流场、温度分布、表面摩擦力和努塞尔数的影响，并以图形和表格形式呈现。所得结果表明，随着纳米颗粒体积分数和渗透率参数的增加，热传递速率会增强。温度分布也受到、、和的存在的影响。这表明纳米颗粒的固体体积分数可用于控制热传递和纳米流体流动的行为。
