Abstract
Waveriders have a high lift-to-drag ratio in hypersonic states, while the flexibility of design methods must still be improved because of some deficiencies such as unsatisfactory off-design performance and stability. In this paper, a geometric relationship in the osculating-cone method is derived and expressed by a differential equation set including five equations. Then the equation set is simplified into a nonhomogeneous ordinary differential equation set with two variables using the trigonometric identities. Using numerical methods to solve the differential equation set, the planform of a waverider can be predefined, improving the flexibility of waverider design significantly. Two types of configurations aided with cubic polynomials and discrete points were generated to validate the expression. Some novel configurations, such as double swept and with dihedral wings, can be generated. Irregular solutions are also discussed, suggesting that some irregularity of the inlet capture curve is permitted in the osculating-cone method.
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