一种叶轮机三维叶型黏性反问题方法

A viscous inverse problem method for turbomachinery three-dimensional blade profile

提出了一种应用于叶轮机三维叶片气动设计的黏性反问题方法,该方法将叶片表面边界视为是运动的壁面,通过建立并求解壁面法向动量方程,从而可根据给定的压力分布或压力面与吸力面之间的压力差分布直接求解叶型几何.结果表明:该方法可与定常雷诺平均Navier-Stokes(RANS)模拟配合进行求解,鲁棒性强、计算耗时短,且符合真实黏性流动环境,无需对叶型进行黏性修正.算例验证结果显示,该方法在单排和多排叶片环境下都能获得反问题解,计算稳定性和收敛性良好.

A viscous inverse problem method used in turbomachinery blade aerodynamic design was presented.The proposed method could be used to directly solve the blade geometry according to the given objective surface pressure distribution or pressure difference distribution from pressure side to suction side.In the proposed method,the blade surface was considered as movable wall,and the movement of the blade wall was evaluated on the basis of the solution of the momentum equation along the normal direction of blade wall.Result shows that,the proposed method is quite robust and needs less computational resources because it is based on the steady RANS（Reynolds-averaged Navier-stokes）simulation,and it does not need viscous correction since the simulation itself is in the real viscous flow environment.Examples using the developed inverse problem method were presented.Verification results show that the proposed method can achieve the desired target in both single blade row and multi-blade row environment,and computational process has good stability and convergence.