纳米流体在伸/缩楔体上的MHD流动数值研究

对纳米流体在伸/缩楔体上的磁流体(MHD)流动进行了数值研究。首先,通过相似变换将控制偏微分方程转化为非线性常微分方程组;然后,利用Matlab软件,借助打靶法,结合四阶五常龙格库塔迭代方案进行数值求解;最后,详细讨论了各控制参数对无量纲速度、温度、浓度、表面摩擦系数、局部Nusselt数和局部Sherwood数的影响。结果表明,楔体在拉伸情况下只有唯一解,理论上不会出现边界层分离;而在一定收缩强度范围内存在双解,边界层流动在壁面处可能会出现边界层分离,壁面抽吸会使边界层分离推迟;楔体在拉伸情况下,磁场参数对表面摩擦系数的影响较大,对局部Nusselt数和局部Sherwood数的影响较小。

Numerical study on MHD flow of a nanofluid over a stretching/shrinking wedge

Numerical study on Magneto-Hydro Dynamics (MHD) flow of a nanofluid over a stretching/shrinking wedge is carried out in this paper.The governing partial differential equations are first converted into a set of non-linear ordinary differential equations by similarity transformations,and then solved numerically using a shooting method coupled with the fourth-fifth-order Runge-Kutta integration technique.The whole calculation process is completed by the program code written in MATLAB language.The effects of the governing parameters on the dimensionless velocity,temperature,concentration,skin friction coefficient,local Nusselt number and local Sherwood number are graphically presented and discussed in detail.The results show that in the stretching case,the solution is unique and theoretically there is no separation in the boundary layer flow.While dual solutions exist for a certain range of shrinking strength and separation may occur in the boundary layer flow on the wall.The outcomes indicate that suction delays the separation.The paper also concludes that the effect of the magnetic parameter on the skin friction coefficient is greater than that of the local Nusselt number and local Sherwood number in the stretching case.