Mabood Fazle, Das Kalidas
School of Information Technology, Fanshawe College London, ON, Canada.
Department of Mathematics, Krishnagar Govt. College, Krishnagar, 741101, Nadia, WB, India.
Heliyon. 2019 Feb 8;5(2):e01216. doi: 10.1016/j.heliyon.2019.e01216. eCollection 2019 Feb.
This article focused on framing the features of melting heat transfer on magnetohydrodynamic (MHD) Casson fluid flow in a porous medium influenced by thermal radiation. The present model is employed to simulate the viscoelastic behavior of fluid in the porous regime. Firstly, the governing partial differential equations are converted into ordinary differential equations via suitable similarity transformation and then solved the developed nonlinear equations by using Runge-Kutta Fehlberg-45 order method. A detailed analysis of certain parameters on the velocity, temperature, skin friction coefficient, and reduced Nusselt number are illustrated and examined. The results indicate that enlargement in and decline velocity profile but an opposite trend for temperature. Furthermore, an increment in and results in uphill Nusselt number. The results of the present analysis are compared with the available works in particular situations and more agreement has been observed.
本文聚焦于构建受热辐射影响的多孔介质中磁流体动力学（MHD）卡森流体流动的熔化传热特征。采用本模型来模拟多孔区域内流体的粘弹性行为。首先，通过适当的相似变换将控制偏微分方程转化为常微分方程，然后使用龙格 - 库塔 - 费尔贝格45阶方法求解所得到的非线性方程。阐述并研究了某些参数对速度、温度、表面摩擦系数和约化努塞尔数的详细影响。结果表明，增大 和 会使速度分布下降，但温度呈现相反趋势。此外，增大 和 会导致努塞尔数上升。将本分析结果与特定情况下的现有研究进行了比较，观察到了更多的一致性。
