Transition characteristics of lifting force in case of aperiodic motion of thin profile in limited compressible fluid

Abstract

The non-stationary problem of aperiodic motion of a profile in the limited flow of ideal compressible fluid is considered. The action of compressible flow on the thin profile is described by models of vortical layers. Using the Fourier and Laplace transforms, the mathematical problem formulated is reduced to a singular integral equation. The kernel of the equation is calculated by the theory of residues. The discrete vortex method is applied for the numerical solution of a singular equation. The transmission function of lifting force of the profile is constructed in the space of Laplace images, and then this function is converted into a transition characteristic by inverse Laplace transformation.