机翼和任意族成面叶栅气动正命题的新提法及其变分有限元解法

本文给出了机翼和任意旋成面叶栅流动的正命题（势函数的定解问题）的新提法及其变分有限元解法．将机翼的Ｋｕｔｔａ条件及叶栅主、分流叶片的广义Ｋ－Ｊ条件作为本质边界条件，可以有效地处理机翼和叶栅中分流叶片的割缝条件以及主流叶片的下游周期性条件，避免了传统方法中反复调整机翼及分流叶片环量、叶栅出口气流角以满足Ｋ－Ｊ条件的人工方法，实现了程序自动化，提高了计算速度．

A new proposition of the direct problem and the variational FEM for the portential flow past an airfoil or cascades on an arbitrarystreamsheet of revolution

A new proposition of the direct problem and the variational finite element method for the potential flow past an airfoil or cascades on an arbitrary streamsheet of revolution are presented in this paper. The general K-J condition,as well as the jump conditions on the artificial boundaries and the periodicity conditions on the downstream boundaries of the cascades,is dealt with as an essential boundary condition.The solution can be formulated without adjusting the outlet flow angle and the circulations of splitting blades or airfoil to satisfy the K-J condition.Thus,the computational efficiency is increased rapidly with an automatic program.