Simple analytical model for parametric studies of hypersonic waveriders

An analytical, power-law-derived hypersonic waverider model is developed using a three-dimensional wedge based flowfield with viscous effects. The model is designed for simple parametric tradeoffs and understanding of more complex optimization results. This analytical model is validated against a viscous optimized conical waverider created using an inverse design technique. Off design performance of the analytical model at varying Mach numbers and angles of attack is validated using an optimized shock-defined waverider (which itself has been validated with a computational Euler calculation). Both the variable-wedge-angle waverider and shock-defined waverider calculations had the same magnitude of error in comparison to the lift-to-drag ratios of the computational Euler validation of the shock-defined waverider (maximum of 2% difference). The variable-wedge-angle method is shown to calculate the same aerodynamic and geometric properties of higher-order methods in orders of magnitude less time.