On generalized scaling procedures for liquid-fuel rocket engines

The scaling procedures of Penner and Tsien, of Crocco and of Barrère have been generalized by using the assumption that the mean drop size is proportional to the product of powers of the Weber number and the Reynolds number, together with the hypothesis that the total conversion time varies as a power (usually the second) of the drop diameter. The results obtained for the steady aero thermochemistry and for unstable motor operation (low-frequency and high-frequency oscillations) are shown to reduce to previously published rules when suitable simplifying assumptions are made