本文在分析了针对充分发展湍流模型建立的k方程湍流模型模拟转捩流动的能力之后，构筑了一种新的Fμ函数及相应的k方程湍流模型．将该模型应用于数值求解NS方程，模拟了中等来流湍流度下零压力梯度平板捩报流动，并将部分计算结果与实验结果及经验关系进行了比较． In this paper, a new Fμ function and corresponding k-equation turbulence model are constructed after analyzing the ability of turbulence model established by fully developed turbulence model to simulate turbulent flow. The model was applied to the numerical solution of NS equations, and the flow of zero pressure gradient plate was simulated under medium turbulence flow rate. Some calculated results were compared with the experimental results and empirical relationships.