Function Airfoil and its Pressure Distribution and Lift Coefficient Calculation

To study the impact of an airfoil shape on performance, a curve expression of airfoil shape was proposed, the analytical formula for the pressure distribution of flow around the airfoil was derived, and the pressure distribution view around airfoil with azimuth as the independent variable was put forward, which can clearly express the details of the pressure distribution curve on airfoil leading edge. Used both the pressure distribution integration method and Blasius theorem, the lift coefficient calculation formulas of ideal fluid flow around the airfoil were derived respectively, and the same results were obtained. Studies have shown that the shape of an airfoil can be expressed by a function, and various types of shapes can be easily obtained by adjusting the constant value in the expression; The pressure distribution and lift coefficient can be calculated by analytical method; For function airfoil, lift coefficient formula could be derived by two methods, and could be verified with each other. The one-to-one relationship exists between the constant values in the airfoil function, airfoil shapes and airfoil performances, and the relationship expression was given in this paper.