Propulsion Nozzle Design: dual_bell

De Laval (converging-diverging) rocket nozzle design parameters — expansion ratio (Ae/At), exit Mach number, pressure ratio (pe/pc), vacuum and optimum thrust coefficient (CF), discharge coefficient (Cd), divergence efficiency (lambda), and Isp correction factor by nozzle type (conical 15-deg, bell 80%, bell optimum/Rao, plug/aerospike, dual-bell) and gamma (1.20/1.25/1.30). Isentropic relations per Sutton & Biblarz RPE 9th Ed; nozzle efficiency corrections per NASA SP-8120.

Aerospace Engineeringnozzle_type: dual_bell2 rows
nozzle typerecord idIsp correction factor (dimensionless)discharge coeff cd (dimensionless)divergence efficiency lambda (dimensionless)exit mach (dimensionless)expansion ratio (dimensionless)gamma ref (dimensionless)notespressure ratio pe pc (dimensionless)thrust coeff cf opt (dimensionless)thrust coeff cf vac (dimensionless)
dual_belldualbell_er40_g1250.9810.9910.9923.683401.25Dual bell; inner contour ER=16 for sea level; outer contour ER=40 for altitude; switchover at nozzle lip flow separation; CF_vac = 1.9314*0.992*0.991*0.9940.007021.7481.907
dual_belldualbell_er80_g1250.9810.9910.9924.237801.25Dual bell ER=80 outer; avg CF trajectory gain 3-6% vs fixed-contour bell; J-2X technology demonstration program0.002781.7871.935

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