二阶流体在旋转坐标系中的三维管道流动

就两个水平板构成的旋转系统,在磁场作用下分析二阶磁流体在其间的流动.下表面是一块可伸展的平面,上面是一块多孔的固体平板.选用合适的变换,将质量和动量的守恒方程,简化为耦合的非线性常微分方程组.应用最强大的分析技术,即同伦分析法(HAM),得到该非线性耦合方程组的级数解.结果用图形给出,并详细地讨论了无量纲参数Re,λ,Ha2,α和K2对速度场的影响.

Three Dimensional Channel Flow of Second Grade Fluid in a Rotating Frame

An analysis was performed for hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of magnetic field.The lower sheet was considered to be a stretching sheet and the upper was a porous solid plate.By using suitable transformations the equations of conservation of mass and momentum were reduced to a system of coupled non-linear ordinary differential equations.Series solution of this coupled non-linear system was obtained by using the most powerful analytic technique Homotopy analysis method.The results were presented through graphs and the effects of non-dimensional parameters Re,λ,Ha2,α and K2 on the velocity field were discussed in details.