Mondal Sabyasachi, Haroun Nageeb A H, Sibanda Precious
University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville, Pietermaritzburg 3209, South Africa.
PLoS One. 2015 Sep 28;10(9):e0138355. doi: 10.1371/journal.pone.0138355. eCollection 2015.
In this paper, the magnetohydrodynamic (MHD) axisymmetric stagnation-point flow of an unsteady and electrically conducting incompressible viscous fluid in with temperature dependent thermal conductivity, thermal radiation and Navier slip is investigated. The flow is due to a shrinking surface that is shrunk axisymmetrically in its own plane with a linear velocity. The magnetic field is imposed normally to the sheet. The model equations that describe this fluid flow are solved by using the spectral relaxation method. Here, heat transfer processes are discussed for two different types of wall heating; (a) a prescribed surface temperature and (b) a prescribed surface heat flux. We discuss and evaluate how the various parameters affect the fluid flow, heat transfer and the temperature field with the aid of different graphical presentations and tabulated results.
本文研究了具有与温度相关的热导率、热辐射和纳维滑移的非稳态、导电不可压缩粘性流体的磁流体动力学（MHD）轴对称驻点流动。流动是由一个在其自身平面内以线速度轴对称收缩的收缩表面引起的。磁场垂直于薄板施加。通过使用谱松弛方法求解描述这种流体流动的模型方程。这里，针对两种不同类型的壁面加热讨论了传热过程；（a）规定表面温度和（b）规定表面热通量。借助不同的图形展示和列表结果，我们讨论并评估了各种参数如何影响流体流动、传热和温度场。
