幂律速度运动表面上磁流体在驻点附近的滑移流动

从理论上研究了具有非线性延伸表面的磁流体在滑移流区的动量传输问题.通过Lie群变换把控制方程组转化为常微分方程组,利用同伦分析方法求得了问题的近似解析解.获得的级数解与文献中的数值解吻合得较好.另外,利用级数解分析滑移参数、磁场强度、速度比率参数、吸入喷注参数和幂律指数对流动的影响.结果显示这些参数对壁剪切力和边界层内流场有较大的影响.

Effect of the Slip Condition on the MHD Stagnation-Point Flow Over a Power-Law Stretching Sheet

The steady two-dimensional magnetohydrodynamic stagnation flow towards a nonlinear stretching surface was studied. The no slip condition on the solid boundary was replaced by the partial slip condition. A scaling group of transformations was applied to get the invariants. Using the invariants, a third order ordinary differential equation corresponding to the momentum was obtained. The analytical solution was obtained in the series form with the help of homotopy analysis method. The reliability and efficiency of series solutions were illustrated by good agreement with numerical results in the literature.Besides, the effects of the slip parameter, the magnetic field parameter, velocity ratio parameter, suction velocity parameter and the power law exponent on the flow were investigated. Results show that the velocity and shear stress profiles are greatly influenced by these parameters.