The effect of exit pressure and temperature on a turbine

AI Thread Summary
The discussion centers on the interplay between pressure and temperature in turbomachinery, particularly in rocket engines using full flow staged combustion cycles. The author seeks clarity on how these factors influence turbine performance when the distance between the turbine and combustion chamber is minimized. In scenarios where the turbine's downstream fluid is at lower pressure but higher temperature, questions arise about the turbine's ability to generate power. The conversation explores the complexities of thermodynamic behavior in this context, with comparisons to turbojets and ramjets. Overall, the dynamics of pressure and temperature in relation to turbine function remain a critical area of inquiry.
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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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