Sonic and Shock Lines in Transonic Flow past a Wavy Wall

抄録

An approximate analysis of the nonlinear, mixed-type differential equation for inviscid transonic flows past a sinusoidal wall is made using the nonlinear correction theory, which was proposed by Hosokawa to improve the linearized transonic flow theory. In order to execute analysis for the flow far from the wall, the nonlinear correction theory (considered to be valid only near the wall) is applied for a streamline near the wall considered as a new wall to calculate the flow farther than that and continue this process successively to obtain many streamlines which clarify the entire flow field past the original wall. This method gives a good survey of various transonic flows past the sinusoidal wall, including periodic appearance of sonic and shock lines in the flow field which define supersonic pockets in subsonic main flows as well as subsonic pockets in supersonic main flows.