Affiliation:
1. Beihang University, 100191 Beijing, People’s Republic of China
Abstract
Leading edge is a primary element that forms waverider configurations. To design waveriders from given leading edges directly and accurately, a new method named the “leading-edge cone method” has been proposed. The leading-edge cone is a conical surface whose tip lies on the leading edge. The shock surface related to the leading edge is the enveloping surface of multiple leading-edge cones. The geometric relationship between leading-edge cones and the shock surface is a particular case of the Apollonius problem in mathematics. Six conditions of leading-edge cones have been discussed, and mathematical expressions of the shock surface are presented. The leading-edge cone method is then established based on these mathematical expressions. Three test cases and three application cases are employed to validate the effectiveness and accuracy of the leading-edge cone method. Results show that all the cases designed by the leading-edge cone method meet the design requirements, and shocks derived from given leading edges coincide well with the shocks generated in numerical simulations.
Funder
National Natural Science Foundation of China
National Key Project
China Postdoctoral Science Foundation
Publisher
American Institute of Aeronautics and Astronautics (AIAA)