考虑可压缩与热传导的壁面函数边界条件及其应用

Application of wall function boundary condition considering heat transfer and compressibility

考虑到可压缩和热传导效应的壁面函数边界条件,被耦合到了采用k-ω两方程湍流模型、用有限体积法求解N-S方程的程序中。壁面函数基于耦合的速度和温度型,并且在边界层内的粘性子区和对数区内一致有效。引入壁面函数边界条件后,通过算例验证在y+<100的范围内,得到的物面压力、摩阻、热流与实验结果比较,结果可靠。而无壁面函数边界条件时,要得到相同精度的结果,要求y+≈1。壁面函数的引入,为工程上准确预测飞行器在湍流流动中表面受力与气动热提供了保障。

Wall function boundary condition considering heat trander and compressibility was coupled in N-S codes which use finite volume method and two equations k-ω turbulence model. Wall function base on coupled velocity and temperature profile, valid in both viscous sub-layer and log law region. After using wail function condition, in the range of y ^＋ 〈 100, pressure, skin friction, heat transfer are compared well with experiment result. On other hand, if don＇t use wall function boundary condition, to obtain the same level accuracy result, need y^＋ ≈ 1. Using waft function boundary condition provide an accurate way to predicate force and heat transfer in engineering problems.