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其中α_∞是自由气流的音速,M_∞是自由气流的马赫数,T_(t∞)是自由气流的滞止温度,ΔT是由于燃烧增加的总温。比冲的表达式(1)是众所周知的,而且当由于燃烧而增加的ΔT给定时,I_(sp)作为马赫数M_∞的函数得到一个最大值,这也是众所周知的。同样,对于材料限制的情况,即规定最高温度T_(max)时,比冲I_(sp)作为M_∞的函数得到一最大值也是众所周知的,此处,T_(max)=T_(t∞)=ΔT。本文的目的是推导出一些确定M_∞数值的简单代数表达式,使比冲I_(sp)在燃料和材料有限制的情况下获得最大值。
Where α_∞ is the sound velocity of the free stream, M_∞ is the Mach number of the free stream, T_ (t∞) is the stagnation temperature of the free stream, and ΔT is the total temperature due to the increase of the combustion. The specific impulse expression (1) is well known, and it is also well-known that I sp value gets a maximum as a function of the Mach number M_∞ given an increased ΔT due to combustion. Similarly, it is also well-known that the specific impulse I_ (sp) attains a maximum value as a function of M_∞ for a material-limited situation, ie, a maximum temperature T_max, where T_max = T_t∞, = ΔT. The purpose of this paper is to derive some simple algebraic expressions that determine the M_∞ value such that the specific impulse I_ (sp) gets the maximum value with limited fuel and material.