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Engine sizing can seem somewhat complex, much of this is due to the berth of prerequisite knowledge that is needed to fully grasp the formulas, concepts, and processes. The reality is that the engine sizing approach used by many collegiate teams benefits from, but does not require, advanced knowledge of fluid mechanics, gas dynamics, or propulsion. Again, engine sizing may seem complex and while it can be the basics can be grasped without an extensive technical background.
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In reality, the process is straightforward, not simple, but straightforward. Figure 2 shows the process RPL used to size its CPLC engine.
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The propellant combination is one of the most significant factors in engine sizing. Nitrous Oxide, N2O is our oxidizer, and Isopropyl Alcohol, IPA is our fuel. IPA was selected as fuel due to its low cost and accessibility.
Three main variables constrain engine sizing,
, thrust, and . We used a Simulink simulation to decide on an of and metallurgy and COTS valve/fitting pressure ratings to arrive at a of or . Using NASA CEA. We input
,, and for our N2O oxidizer and IPA fuel. CEA allows you to simulate various mass fractions. We chose 4.0 as it gives the best ISP performance, this burns hot but not as hot as a more OX-rich mix. CEA outputs the , (equivalent to Eazy math inline |
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body | \frac {C_{p}} {C_{v}} |
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), Eazy math inline |
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body | \frac {A_{e}} {A_{t}} |
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, , and .The following parameters are fed into a Matlab script:
, , , , and (L* is somewhat arbitrary and selected) as well as chemical properties. m_dot is adjusted! We chose an L* of 1 m, and m_dot 1.1 kg/s. That yields V_c. We pick 0.15 m L which gives a D_c of 7.73cm and exit diameter of 6.3 cm and a throat diameter of 2.99 cm.
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