We scrutinize the approximate analytical solutions by the optimal homotopy analysis method (OHAM) for the flow and mass transfer within the Marangoni boundary layer of power-law fluids over a disk with suction and injection in the present paper. Concentration distribution on the surface of a disk varies in a power-law form. The non-Newtonian fluid flow is due to the surface concentration gradient without considering gravity and buoyancy. According to the conservation of mass, momentum and concentration, the governing partial differential equations are established, and the appropriate generalized Kármán transformation is found to reduce them to the nonlinear ordinary differential equations. OHAM is used to access the approximate analytical solution. The influences of Marangoni the number, suction/injection parameters and power-law exponent on the flow and mass transfer are examined.

中文翻译：

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幂律非牛顿流体在带吸力和注入力的圆盘上的Marangoni流动和传质

在本文中，我们通过最优同伦分析方法（OHAM）仔细研究了幂律流体的Marangoni边界层在具有吸力和注入力的圆盘上的流动和传质过程中的近似解析解。磁盘表面上的浓度分布以幂律形式变化。非牛顿流体流动是由于表面浓度梯度而没有考虑重力和浮力。根据质量，动量和浓度的守恒，建立了支配的偏微分方程，并找到适当的广义Kármán变换将其简化为非线性常微分方程。OHAM用于访问近似分析解决方案。Marangoni数的影响，