A. J. Morrow(^1), L. Chen(^2) (^1)Department of Aerospace Engineering, Stanford University (^2)Center for Hypersonics, University of Queensland
Hypersonic, Variable Sweep, Area Rule, Morphing Structures, Wave Drag, Multi-Regime Flight 1. Introduction Hypersonic vehicles (Mach > 5) typically sacrifice low-speed performance for high-speed efficiency. Fixed-wing designs suffer from severe wave drag at transonic and supersonic transitions, limiting operational flexibility. Conversely, variable-sweep wings (e.g., B-1, F-14) improve subsonic/supersonic transition but are not designed for hypersonic thermal and pressure loads. Additionally, the classic area rule — which dictates that aircraft cross-sectional area distribution should be smooth to reduce wave drag — is Mach-dependent, yet most airframes are static. hypersonic vst mac
| Mach | Fixed fuselage (C_D_w) | MAC fuselage (C_D_w) | % reduction | |------|---------------------------|--------------------------|--------------| | 0.9 | 0.009 | 0.008 | 11% | | 1.2 | 0.045 | 0.027 | 40% | | 2.5 | 0.031 | 0.021 | 32% | | 6.0 | 0.022 | 0.018 | 18% | 4.2 Aerodynamic Efficiency (L/D) The VST wing improves L/D across all regimes. At Mach 0.8, low sweep (20°) and slight anhedral (-5°) give L/D = 14. At Mach 5.0, sweep 75°, dihedral +20° yields L/D = 5.2 — high for a hypersonic vehicle (typical L/D ~ 3-4). The improvement stems from reduced induced drag via spanwise load redistribution at hypersonic speeds. Conversely, variable-sweep wings (e
Lift coefficient in hypersonic regime (Newtonian theory): At Mach 0.8
[ C_L = 2\sin^2\theta_p \cdot \cos\Lambda ]
Hypersonic VST-MAC: A Variable-Sweep/Tilt Mach-Area Ruled Configuration for Multi-Regime Flight