湍流边界层的两层模型积分法

摘要

The Two-Layer Model (TLM) differential method for turbulent boundary layers is rapidly developed over the last decade. However,reliable predictions cannot be expected except for fairly simple configurations at present. In this paper, a new turbulent boundary-layer method, the TLM integral method, is discussed for the flat plate turbulent boundary layers. This method models the inner region with the law of the wall,whereas the outer region uses Clauser's eddy viscosity under the assumption of quadratic parabola distribution for shear stress. Results obtained are compared with the analytic values of the 1/7 power-law One-Layer Model (OLM) and show good agreement.The method can be extended to axisymmetric and three-dimensional turbulent boundary layers if the pressure gradient effect is considered.%湍流边界层的两层模型(TLM)微分法在过去的十几年里得到了迅速发展.然而,目前除了对简单的模型外,还未能得到完全可靠的速度剖面模型.本文针对平板湍流边界层讨论一种新的两层模型积分法,该方法的内层采用壁面率,而外层使用了剪应力呈抛物线分布的Clauser湍流粘性公式.计算结果与1/7幂次律单层模型进行了比较,吻合较好.如果考虑压力梯度的影响,还可以将该方法推广到轴对称和三维湍流边界层中去.