The effect of exit pressure and temperature on a turbine

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SUMMARY

The discussion focuses on the interplay between exit pressure and temperature in turbine performance, particularly in the context of full flow staged combustion cycles in rocket engines. Participants highlight the unique thermodynamic conditions where downstream fluid exhibits lower pressure but higher temperature compared to upstream fluid. The conversation explores the implications of reducing the piping length between the turbine and the combustion chamber, questioning whether the turbine can still produce power under these altered conditions. A diagram was suggested to clarify the scenarios being discussed.

PREREQUISITES
  • Understanding of thermodynamics, particularly in turbomachinery
  • Familiarity with full flow staged combustion cycles in rocket engines
  • Knowledge of pressure and temperature relationships in fluid dynamics
  • Basic principles of turbine operation and performance metrics
NEXT STEPS
  • Research the thermodynamic principles governing turbine performance in rocket engines
  • Study the effects of pressure and temperature variations on fluid dynamics
  • Explore full flow staged combustion cycle designs and their efficiencies
  • Investigate the impact of piping length on turbine and combustion chamber interactions
USEFUL FOR

Aerospace engineers, rocket propulsion specialists, and students studying thermodynamics and turbomachinery performance will benefit from this discussion.

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I still struggle with the interchangeability of pressure and temperature and how they affect the performance of various bits of turbomachinery. Microscopically they're very interconnected, in that the measure of pressure is the result of the confinement of the measure of temperature, however macroscopically they are often treated as independent (albeit coupled) quantities.

I have been thinking about full flow staged combustion cycles in rocket engines and can't reconcile a couple of hypotheticals, so I was hoping for a bit of insight. These turbines can present a unique thermodynamic scenario, where fluid downstream of a turbine is at a lower pressure but much higher temperature than upstream fluid.

A typical staged combustion cycle might consist of some kind of pre-burner that burns some amount of fuel and oxidant before expanding the products over a turbine, which then flow into a combustion chamber and nozzle to produce thrust. There is some amount of piping between the turbine exit and the final combustion chamber, so immediately after the turbine, both the pressure and temperature of the fluid drops as you would expect.

What happens if you start to shorten that length of piping until your turbine is sitting adjacent to the final combustion chamber? In one extreme limit, fluid from the preburner expands directly into the main combustion chamber. The pressure upstream of the turbine is higher than the downstream pressure, however the temperature gradient is reversed due to the large amount of heat added in the main combustion chamber. Will the turbine still produce power?
 
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I have a hard time imagining what you are asking about. At first, it sounded like a turbojet. Then a jet with the compressor stage replaced by a preburner, but then merging the stages. Is it a ramjet?

Maybe you can draw a diagram.
 
Sorry. I should have made that more clear. It is a rocket engine which has a full flow turbine to drive a pump for propellants. I made a crude diagram of the two scenarios.

staged%20combustion%20diagram.png
 

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