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MAE 5540 Spacecraft Propulsion, Cornell University

Apollo CSM Propulsion Redesign Trade Study

From helium pressure-fed to turbopump: decoupling chamber pressure from tank pressure

Role
Team of five — I led the feed-system redesign, parametric analysis, and turbopump CAD
Status
Completed
Apollo CSM Propulsion Redesign Trade Study

Headline results

−24.6%
Required propellant mass at 5 MPa chamber pressure
5.5 MPa
Design chamber pressure, up from 0.69 MPa
+6.1%
Specific impulse gain — real, but not the main effect
ε ≈ 62
Nozzle area ratio for ideal expansion
Rocket PropulsionSolidWorksMATLABTrajectory SimulationNozzle Design
01

The baseline and what it costs

The Apollo Command and Service Module's Service Propulsion System used the Aerojet AJ10 — a bipropellant engine burning N₂O₄ and Aerozine-50, rated at 20,500 lbf, responsible for lunar orbit insertion and departure. It was designed to be extremely reliable, and it achieved that reliability partly through a helium pressure-fed architecture.

Pressure-fed systems, though, push tank pressures upward to achieve acceptable chamber pressure, and tank pressure drives tank mass. The pressure budget is unforgiving: tank pressure has to support chamber pressure plus injector and line losses.

P_tank ≳ P_c + ΔP_inj + ΔP_lines t ≈ P_tank·r / (2σ_allow) m_tank ∝ P_tank·r³ / σ_allow

Tank mass grows with pressure and with size, and the helium system adds further dry mass through high-pressure bottles, regulators, and plumbing. Raising chamber pressure to gain performance therefore costs mass twice over in a pressure-fed architecture.

02

The turbopump concept

A turbopump feed system decouples chamber pressure from tank pressure. Tanks can be kept at relatively low pressure — chosen for inlet conditioning and cavitation margin rather than for chamber pressure — while the pumps raise propellant pressure to what the injector and chamber require.

P_out ≈ P_c + ΔP_inj + ΔP_lines ΔP_pump ≈ P_out − P_tank H = ΔP_pump / (ρ·g₀)
03

Parametric results

For a fixed mission Δv, required propellant mass depends on both specific impulse and dry mass. Working through the rocket equation across candidate chamber pressures separates those two contributions.

Δv = g₀·I_sp·ln(m₀ / m_f) m_p = m_f · [ exp(Δv / (g₀·I_sp)) − 1 ]
DesignP_cI_sp (s)%Δu_em_f (kg)m_p (kg)%Δm_p
Baseline (pressure-fed)0.69 MPa3140.0%6,1009,0440.0%
Turbopump + low tank pressure1 MPa3201.9%5,0257,239−19.9%
Turbopump + low tank pressure3 MPa3305.1%5,0256,912−23.6%
Turbopump + low tank pressure5 MPa3336.1%5,0256,819−24.6%
Turbopump + low tank pressure6 MPa3356.7%5,0256,759−25.2%

The result worth reading carefully is the gap between the two percentage columns. Raising chamber pressure by nearly an order of magnitude buys only a few percent in exhaust velocity — that is real but modest. The large propellant saving comes from the dry-mass reduction that low tank pressure enables, dropping final mass from 6,100 kg to 5,025 kg. Attributing the whole 25% to specific impulse would be the easy mistake, and it would be wrong.

We designed to 5.5 MPa chamber pressure, which sits at the knee of the curve: nearly all of the available propellant saving, without pushing pump and chamber requirements further for the last fraction of a percent. The matching nozzle for ideal expansion at that chamber pressure sizes to an area ratio of about 62.

04

CAD and routing

The bipropellant system CAD was built jointly with a teammate: I did the turbopump inclusion and propellant-line routing, and my teammate handled tank resizing. The routing is where the architecture becomes concrete — the pump inlets, the discharge lines to the injector, and the preburner gas path that drives the turbine all have to physically fit within the Service Module envelope.

Figure 1: Internal and external side views of the bipropellant system CAD.
Figure 1: Internal and external side views of the bipropellant system CAD.
Figure 2: Top view of the bipropellant system CAD.
Figure 2: Top view of the bipropellant system CAD.