Das Anfangs-Randwertproblem eines dünnen Profils in kompressibler Unterschallströmung

Summary The initial boundary value problem of a thin profile in a compressible subsonic flow is investigated, being important for the gust problem. Existence and uniqueness of the solution are shown. By a generalizedWiener-Hopf-equation, the solution is reduced to the solution of a system of integro-differential equations for the downwashes in the profile plane. This system can be solved exactly by an iterative calculation of integrals for any value of timet>0. Finally, for smallt>0, the indicial-admittance function for vertical translation is found and is compared with a result given byLomax 6]. The asymptotic case for larget>0 will be investigated in a later paper.