Calculation of the Unsteady Pressure Distribution on an Oscillating Cascade with Thick Profiles and Steady Turning Angle

摘要

A method based on Martensen's theory of vorticity layers on a surface in steady flow is derived to calculate the unsteady pressure distribution on a harmonically oscillating plane cascade with an arbitrary profile shape in incompressible flow. After linearizing the basic equations of the initial boundary value problem, which is generally nonlinear, a Fredholm integral equation is developed for the pressure distribution on oscillating blades. Among other characteristic parameters, this equation describes the interaction of steady and unsteady flow. Pressure distributions and aerodynamic coefficients are given for a special case in order to examine the influence of parameters.