CFD Analysis of Supersonic Flow on Aircraft Wing

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Abstract

The revival of sustainable supersonic transport requires wing designs that minimize wave drag while maintaining lift efficiency at cruise conditions. This study conducts a comprehensive parametric CFD analysis of the NACA 66–206 airfoil (6% thickness) in supersonic flow, varying Mach number (M ∞ = 2.0–3.0), angle of attack (α = 0°–8°), and leading-edge sweep (Λ = 0°–60°) at altitudes of 35,000 ft and 45,000 ft. High-fidelity RANS simulations using ANSYS Fluent with the SST k-ω turbulence model capture shock-boundary layer interactions accurately. Results show sweep reduces wave drag by up to 52% at Λ = 60°, with a 25% improvement in lift-to-drag ratio at moderate sweep angles (Λ ≈ 30°–45°). The supersonic similarity parameter K = α √(M∞² – 1) cos Λ collapses force coefficients within 4% scatter for Λ ≤ 45°, but deviations increase at higher sweep due to three-dimensional relief effects and viscous cross-flow. Detailed flow-field analysis reveals non-intuitive shock weakening mechanisms at high sweep, including reduced effective normal Mach number and spanwise pressure relief. These findings extend classical supersonic theory with modern viscous CFD, providing a validated aerodynamic database for preliminary optimization of next-generation supersonic wings.

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