| Abstract: | In this paper we derive the equations of the second and third approximations for the stream function of two-dimensional and axisymmetric potential transonic flow of an inviscid gas and find their particular solutions corresponding to certain transonic flows.A similar study concerning the second approximation of subsonic and supersonic flow was made by Van Dyke 1] and Hayes 2]. The second approximation for the velocity potential of transonic flow has been examined in detail by Hayes 3]. Euvrard 4, 5] has investigated the asymptotic behavior of transonic flow far from a body, while Fal'kovich, Chernov, and Gorskii 6] have studied the flow in a nozzle throat.The transonic asymptotic analysis for the stream function is presented in this paper. |
