A numerical analysis is carried out for the marine propellers in open water conditions to investigate the effect of the wall treatments in model and full scale. The standard wall function to apply the low of the wall and the two layer zonal model to calculate the whole boundary layer for a transition phenomenon are used with one turbulence model. To determine an appropriate distance of the first grid point from the wall when using the wall function, a formula based on Reynolds number is suggested, which can estimate the maximum ${\text{y}}^{+}$ satisfying the logarithmic law. In the model scale, it is confirmed that a transition calculation is required for a model scale propeller with low Reynolds number that the transient region appears widely. While in the full scale, the wall function calculation is recommended for efficient calculations due to the turbulence dominant flow for large Reynolds number.

在开阔水域条件下对船用螺旋桨进行了数值分析，以研究模型和全尺寸壁处理的效果。一个湍流模型使用了标准墙函数来应用墙的低处，并使用两层分区模型来计算过渡现象的整个边界层。为了在使用墙函数时确定第一个网格点到墙的适当距离，建议使用基于雷诺数的公式，该公式可以估计最大${\text{ÿ}}^{+}$ 满足对数律。在模型规模中，已经确认对于低雷诺数的模型规模螺旋桨需要过渡计算，过渡区域广泛出现。在满量程下，由于大雷诺数的湍流占主导地位，建议将壁函数计算用于高效计算。