本文引用映象平面,建立了轴流式S_2流面A型和B型杂交气动命题的两族变分原理,并进而考虑了子午面流区为复连通的情况(例如图3的包曼透平级)。为了利于边界条件的处理,文中力图充分发挥“自然界面条件”与“人工分界面”的有力作用。本文旨在为叶轮机气动设计提供一些更广泛、灵活的途径,并为有限元法等变分直接解法建立更完密的理论基础。 In this paper, the two-family variational principle for the aerodynamic propositions of A-type and B-type hybrids of axial flow S_2 flow surface is established, and then the meridian flow area is considered as a complex connectivity (for example, same level). In order to facilitate the handling of the boundary conditions, the paper attempts to give full play to the “natural interface conditions” and “manual interface” a powerful role. The purpose of this paper is to provide some more extensive and flexible approaches for the aerodynamic design of impeller and to establish a more complete theoretical basis for variational direct solutions such as finite element method.