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

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equations. Equation (4-10) was <strong>the</strong>n used to calculate <strong>the</strong> initial gas density. However, pressure,<br />

temperature, and density were all subject to change as gas flowed out <strong>of</strong> <strong>the</strong> CGSE. These changes were<br />

modeled with a set <strong>of</strong> differential equations based on a model originally written by Alessandro Golkar, a<br />

student who had worked on TALARIS in <strong>the</strong> fall 2008 and spring 2009 design classes. The Golkar model<br />

was not written <strong>for</strong> TALARIS, but ra<strong>the</strong>r <strong>for</strong> <strong>the</strong> pressurant gas tank <strong>of</strong> a liquid propellant rocket.<br />

However, <strong>the</strong> pressurant tank experienced temperature and pressure ranges very similar to those <strong>of</strong> <strong>the</strong><br />

TALARIS CGSE, so <strong>the</strong> <strong>the</strong>rmodynamics <strong>of</strong> both cases were comparable in many ways. A full derivation <strong>of</strong><br />

this model is available in [42], but a condensed outline <strong>of</strong> it is also presented here.<br />

The Golkar model was based on <strong>the</strong> Redlich-Kwong equation <strong>of</strong> state, which is a more complex but <strong>of</strong>ten<br />

more accurate way <strong>of</strong> describing real gas behavior than using <strong>the</strong> compressibility factor

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