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bow-shock-standofflisted

Use when you must estimate the detached bow-shock standoff distance ahead of a blunt nose: compute the standoff ratio Delta over R with the classical Billig-form correlations for a sphere nose and a circular cylinder leading edge at gamma 1.4, convert the ratio to a physical standoff distance for a given nose radius, and report the trend checks that the standoff decreases with Mach and that the cylinder standoff exceeds the sphere standoff at the same Mach. Produces the standoff ratio, the standoff distance and the sanity flags that gate blunt-body nose-radius trades and shock-layer thickness estimates. Trigger: bow shock standoff, billig correlation, stagnation streamline, shock layer thickness, detached shock distance, blunt body nose radius.
ashfordeOU/aero-agent-skills · ★ 0 · AI & Automation · score 78
Install: claude install-skill ashfordeOU/aero-agent-skills
# Bow Shock Standoff Distance (aerodynamics/high-speed/bow-shock-standoff) Use when the task is estimating the detached bow-shock standoff distance on the stagnation streamline ahead of a blunt nose in supersonic and hypersonic flow: the shock stands ahead of a sphere nose or a circular cylinder leading edge rather than attaching to a sharp point, and the shock-layer thickness between the nose and the shock sets the local environment for pressure and heating trades. This leaf implements the classical Billig-form standoff correlations for gamma = 1.4 in pure Python, stdlib only: the sphere form for an axisymmetric nose and the cylinder form for a two-dimensional leading edge, both as an exponential of 1 over the freestream Mach squared. It pairs with aerodynamics/high-speed/hypersonic-flow for the force coefficients of the blunt body behind the shock and with aerodynamics/high-speed/aerodynamic-heating, whose stagnation-point flux scales with the same nose radius. The method is the standard engineering estimate for the shock-layer geometry, not a CFD replacement. ## Domain quick reference - Sphere standoff ratio (axisymmetric nose): Delta / R = 0.143 * exp(3.24 / M^2), with M the freestream Mach number, R the nose radius and Delta the standoff distance of the detached shock ahead of the stagnation point. - Cylinder standoff ratio (two-dimensional leading edge): Delta / R = 0.386 * exp(4.67 / M^2). The coefficient is about 2.7 times the sphere coefficient, so at th