从流体力学和非牛顿流体力学的基本方程出发，在未作任何假设的情况下，通过引入合理的相似变量，得出了幂律流体绕流楔形物体时的层流边界层常微分方程及其数值解，该常微分方程及其解在塑性指数ｎ＝１时，与经典流体力学中的方程及解完全相同．讨论了塑性指数ｎ及物体形状指数ｍ对无因次速度分布的影响，给出了边界层内的速度分布、各种边界层厚度及壁面摩擦阻力的表达式 Based on the basic equations of fluid dynamics and non-Newtonian fluid mechanics, without introducing any assumptions, by introducing reasonable similar variables, the laminar-flow boundary layer ordinary differential equations Numerical solution, the ordinary differential equations and their solutions in the plastic index n = 1, exactly the same equations and solutions of classical hydrodynamics. The influence of plastic index n and object shape index m on non-dimensional velocity distribution is discussed. The velocity distribution in the boundary layer, the thickness of boundary layer and the frictional resistance of the wall are given