Mansur Syahira, Ishak Anuar, Pop Ioan
Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Parit Raja, Batu Pahat, Johor, Malaysia.
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor, Malaysia.
PLoS One. 2015 Mar 11;10(3):e0117733. doi: 10.1371/journal.pone.0117733. eCollection 2015.
The magnetohydrodynamic (MHD) stagnation point flow of a nanofluid over a permeable stretching/shrinking sheet is studied. Numerical results are obtained using boundary value problem solver bvp4c in MATLAB for several values of parameters. The numerical results show that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique. A stability analysis is performed to determine the stability of the dual solutions. For the stable solution, the skin friction is higher in the presence of magnetic field and increases when the suction effect is increased. It is also found that increasing the Brownian motion parameter and the thermophoresis parameter reduces the heat transfer rate at the surface.
研究了纳米流体在可渗透拉伸/收缩薄板上的磁流体动力学（MHD）驻点流动。使用MATLAB中的边界值问题求解器bvp4c针对多个参数值获得了数值结果。数值结果表明，收缩情况下存在双解，而拉伸情况下解是唯一的。进行了稳定性分析以确定双解的稳定性。对于稳定解，存在磁场时表面摩擦更高，并且当抽吸效应增加时表面摩擦增大。还发现增加布朗运动参数和热泳参数会降低表面的传热速率。
