考虑法向压力梯度的三维旋转边界层计算

THREE-DIMENSIONAL ROTATING BOUNDARY LAYER CALCULATION WITH NORMAL PRESSURE GRADIENTS

本文以量级分析为基础,建立了一般曲线坐标系上的三维旋转边界层方程。对旋转在边界层中的影响进行分析之后,提出了一个能够处理壁面法向压力梯度不为零问题的压力梯度迭代方法。在传统的Box法的基础上发展了一套完整的求解三维旋转边界层的方法和程序,并对螺旋面、压气机转子叶面以及圆柱面上的旋转边界层进行了计算,与他人的计算和实验的对比分析表明,该方法和程序是正确的,可用于求解任意几何物面上的三维旋转边界层。

The N-S equations have been reduced to a set of three-dhnensional boundarylayer equations in an arbitrarily non-orthogonal-curvilinear rotating coordinate system by means of the order-of-magnitude analysis, and the effects of rotation on boundary layer are analyzed. A new pressure gradient iteration method is proposed to deal with the problem caused by nonzero normal pressure gradients. On the basis of BOX method, a numerical scheme and corresponding FORTRAN program are developed for solving the three-dimensional boundary layer with rotation. Three kinds of flow fields are calculated-rotating plate, helical blade, and compressor rotor blade. The results are compared with other researcher's calculation and experimental data. The comparison shows that the numerical method and program proposed in this paper are good, and can be used to simulate the three dimensional laminar and turbulent boundary layers on arbitrary objects with or without rotation. Finally, the authors have also investigated the effects of rotation (especially the normal pressure gradients) on boundary layer behavior on a rotating cylinder surface. The results indicate that the rotation effect is very important under certain conditions.