Brayton Cycle Thermodynamic Analysis

[Salagon]

Hi! I'd appreciate some help solving the thermodynamic's problem. I am sorry if the problem statement isn't 100% clear, as I've translated it from my native language.

I'd really like if you could help me check my equations/procedure/results.

In the following link both my attempted solutions and problem diagram can be found.
https://drive.google.com/folderview...VLdjRzV19saUtZTHhlSlk5OTFINEEwa3M&usp=sharing

1. Homework Statement
A gas turbine operating under a modified brayton cycle.
Air is compressed at a ratio of 9.
Air enters the compressor at 273K and 100kPa.
The cycle's maximun temperature is 1600K.
Assume that the turbines and compressor operate adiabaticaly and reversibly.
The first turbine is used to power the compressor.
air mass flow is 100kg/s

Homework Equations

Determine temperature and pressure at state 4
determine net power
determine maximum power by exergy analysis

The Attempt at a Solution

I've solved the problem using both ideal and real methods. I'm concerned that while some of the data between the two is very similar (work from compressor and HP turbine), other stuff is quite different (heat lost and introduced, max power)Thanks!

 

[KataKoniK]

Hello!

I would be happy to assist you with your thermodynamics problem. I have reviewed your attempted solutions and problem diagram and I have a few suggestions for you.

First, for the ideal method, it looks like you have correctly calculated the temperatures and pressures at states 2, 3, and 4. However, for the real method, it seems like you have used the same equations for both the compressor and turbine, which may not be accurate. I recommend double checking your equations and making sure you are using the correct ones for each component.

Additionally, for the net power calculation, it looks like you have correctly calculated the work done by the compressor and the turbines. However, you also need to take into account the work done by the first turbine on the compressor. This will affect the overall net power output.

Lastly, for the maximum power calculation using exergy analysis, it would be helpful to see your calculations and assumptions. This will allow me to better understand the differences between the ideal and real methods.

Overall, your approach and equations seem reasonable. I would recommend double checking your equations and making sure you are using the correct ones for each component. Also, including more details and assumptions for the maximum power calculation would be helpful in understanding the differences between the two methods.

I hope this helps and please let me know if you have any other questions or concerns. Good luck with your problem!