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Development of a Cold Gas Propulsion System for the ... - SSL - MIT

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The o<strong>the</strong>r new variables in equation (4-21) are <strong>the</strong> partial derivatives <strong>of</strong> specific enthalpy with respect to<br />

pressure and temperature. The Golkar model was written <strong>for</strong> a pressurant tank using helium gas, <strong>for</strong><br />

which <strong>the</strong>se derivatives were constant over <strong>the</strong> range <strong>of</strong> pressures and temperatures experienced [42].<br />

However, <strong>the</strong>se partial derivatives were not constant <strong>for</strong> nitrogen over <strong>the</strong> range <strong>of</strong> conditions expected<br />

in <strong>the</strong> TALARIS CGSE tanks. This difference is illustrated in Figure 4-1.<br />

Figure 4-1. Enthalpy relations <strong>for</strong> helium and nitrogen.<br />

(a) Helium specific enthalpy vs. pressure [42]. (b) Nitrogen specific enthalpy vs. pressure.<br />

(c) Helium specific enthalpy vs. temperature [42]. (d) Nitrogen specific enthalpy vs. temperature.<br />

In Figure 4-1(a), <strong>the</strong> plots <strong>of</strong> specific enthalpy vs. pressure <strong>for</strong> helium are all linear with <strong>the</strong> same slope<br />

regardless <strong>of</strong> temperature, which shows that

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