In this paper, we present a modification in the standard \(k-\epsilon\) turbulence model, together with a new equation to express \(\mu _t\) as a function of k and \(\epsilon\). In this simplified model, new values of the constants \(c_{\epsilon 1}\), \(c_{\epsilon 2}\) and \(\sigma _{\epsilon }\) are provided. Using this model, we find an algebraic equation to express the viscosity in the wall (\(\mu _w\)) so that the flow remains unchanged throughout the domain. Fitting the numerical solution, we find algebraic equations to approximate the k and \(\epsilon\) profiles. Using periodic boundary conditions to solve k and \(\epsilon\) equations, this model was applied to simulate the pollutant dispersion for the unstable Praire Grass experiments, obtaining a good agreement with the experimental data.

在本文中，我们提出了对标准\(k-\epsilon\)湍流模型的修改，以及将\(\mu _t\) 表示为k和\(\epsilon\)的函数的新方程。在这个简化模型中，提供了常数\(c_{\epsilon 1}\)、\(c_{\epsilon 2}\)和\(\sigma _{\epsilon }\)的新值。使用这个模型，我们找到了一个代数方程来表达壁中的粘度（\(\mu _w\)），以便整个域中的流动保持不变。拟合数值解，我们找到代数方程来近似k和\(\epsilon\)个人资料。利用周期边界条件求解k和\(\epsilon\)方程，将该模型应用于不稳定Praire Grass实验的污染物扩散模拟，与实验数据吻合较好。