This study investigates the influence of back pressure on the mass ejection coefficient (u) of low-pressure methane-air ejectors through a combined approach of one-dimensional mathematical modeling and computational fluid dynamics (CFD) simulations. By establishing a quadratic relationship between u and back pressure (hc), we reveal three distinct operational regimes: a slow growth phase, a rapid escalation phase, and a critical degradation phase. CFD results validate the theoretical model with a coefficient of determination (R2) of 0.9941 in the quadratic region. A key finding is the identification of a linear correlation between the critical back pressure (hc,crit) and nozzle pressure (hn), expressed as hc,crit = - 0.0629 hn + 0.8966 Pa. This work provides actionable guidelines for optimizing ejector geometry and operating conditions in residential gas appliances.
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