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Feb 23, 2023
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Explore the Brayton Cycle: Fun Guide for Gas Turbines with Cool Diagrams and Formulas!
Efficiency and Additional Concepts
This page delves deeper into the Brayton cycle efficiency and introduces additional problem-solving techniques.
Efficiency Formula
The thermal efficiency of the Brayton cycle is given by:
η = 1 - T1/T2
Example: This formula shows that efficiency increases as the temperature ratio T1/T2 decreases.
Additional Problem
An example problem is presented to illustrate the application of Brayton cycle principles:
Given:
- Air enters the compressor at 95 kPa, 22°C
- Pressure ratio is 6:1
- Air leaves the heat addition process at 1100K
The problem asks to determine: a. Compressor work and turbine work per unit mass flow b. Cycle efficiency c. Back work ratio
Definition: Back work ratio is the ratio of compressor work to turbine work, indicating the fraction of turbine output used to drive the compressor.
Constant Properties
The problem assumes constant properties, with:
- Cp = R
- Cv = R
- γ = 1.4
These assumptions simplify calculations while providing a good approximation of cycle performance.
Problem Solution and Calculations
This page provides a detailed solution to the Brayton cycle efficiency calculation problem presented earlier.
Step-by-Step Solution
- Calculate T2 using isentropic compression equation: T1P1^/γ) = T2P2^/γ) T2 = 492.4609 K
- Calculate T4 using isentropic expansion equation: T3P3^/γ) = T4P4^/γ) T4 = 659.2707 K
- Compute compressor work : Wc = Cp = 197.9845 kJ/kg
- Compute turbine work : WT = Cp = -442.2339 kJ/kg
- Calculate cycle efficiency : η = 1 - T1/T2 = 0.4007 or 40.07%
- Determine back work ratio : bwr = Wc / = 0.4477
Highlight: The negative sign for turbine work indicates energy output from the system.
Key Results
- Compressor work: 197.9845 kJ/kg
- Turbine work: -442.2339 kJ/kg
- Cycle efficiency: 40.07%
- Back work ratio: 0.4477
Example: This problem demonstrates how to apply the Brayton cycle efficiency formula and related equations to analyze gas turbine performance.
These calculations provide valuable insights into the performance characteristics of an ideal Brayton cycle gas turbine engine, showcasing the relationship between pressure ratio, temperatures, and overall cycle efficiency.
Brayton Cycle: The Ideal Cycle for Gas-Turbine Engines
The Brayton cycle is the ideal thermodynamic cycle for gas turbine engines. This page introduces the cycle's key components, processes, and applications.
Components and Processes
The Brayton cycle consists of four main processes:
- Isentropic compression
- Constant pressure heat addition
- Isentropic expansion
- Constant pressure heat rejection
These processes occur in the compressor, combustion chamber, and turbine of a gas turbine engine.
Vocabulary: Isentropic - A process where entropy remains constant.
Key Equations
The Brayton cycle analysis involves several important equations:
- Heat entering and exiting: Qin = H3 - H2 = Cp Qout = H4 - H1 = Cp
- Work in compression and expansion: Wc = Cp WT = Cp
- Pressure ratio: rp = P2 / P1
Definition: Pressure ratio is the ratio of the compressor outlet pressure to the inlet pressure.
Applications
The Brayton cycle has diverse applications, including:
- Military aviation
- Commercial aviation
- Electric power generation
- Transportation
- Industrial processes
Highlight: The Brayton cycle's versatility makes it crucial in both aerospace and power generation industries.
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I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
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Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
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This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
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iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Explore the Brayton Cycle: Fun Guide for Gas Turbines with Cool Diagrams and Formulas!
The ideal Brayton cycle for gas turbines is a thermodynamic cycle used to model gas turbine engines. This summary provides an overview of the cycle's processes, equations, applications, and efficiency calculations.
• The Brayton cycle consists of four main processes:... Show more
Efficiency and Additional Concepts
This page delves deeper into the Brayton cycle efficiency and introduces additional problem-solving techniques.
Efficiency Formula
The thermal efficiency of the Brayton cycle is given by:
η = 1 - T1/T2
Example: This formula shows that efficiency increases as the temperature ratio T1/T2 decreases.
Additional Problem
An example problem is presented to illustrate the application of Brayton cycle principles:
Given:
- Air enters the compressor at 95 kPa, 22°C
- Pressure ratio is 6:1
- Air leaves the heat addition process at 1100K
The problem asks to determine: a. Compressor work and turbine work per unit mass flow b. Cycle efficiency c. Back work ratio
Definition: Back work ratio is the ratio of compressor work to turbine work, indicating the fraction of turbine output used to drive the compressor.
Constant Properties
The problem assumes constant properties, with:
- Cp = R
- Cv = R
- γ = 1.4
These assumptions simplify calculations while providing a good approximation of cycle performance.
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Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Problem Solution and Calculations
This page provides a detailed solution to the Brayton cycle efficiency calculation problem presented earlier.
Step-by-Step Solution
- Calculate T2 using isentropic compression equation: T1P1^/γ) = T2P2^/γ) T2 = 492.4609 K
- Calculate T4 using isentropic expansion equation: T3P3^/γ) = T4P4^/γ) T4 = 659.2707 K
- Compute compressor work : Wc = Cp = 197.9845 kJ/kg
- Compute turbine work : WT = Cp = -442.2339 kJ/kg
- Calculate cycle efficiency : η = 1 - T1/T2 = 0.4007 or 40.07%
- Determine back work ratio : bwr = Wc / = 0.4477
Highlight: The negative sign for turbine work indicates energy output from the system.
Key Results
- Compressor work: 197.9845 kJ/kg
- Turbine work: -442.2339 kJ/kg
- Cycle efficiency: 40.07%
- Back work ratio: 0.4477
Example: This problem demonstrates how to apply the Brayton cycle efficiency formula and related equations to analyze gas turbine performance.
These calculations provide valuable insights into the performance characteristics of an ideal Brayton cycle gas turbine engine, showcasing the relationship between pressure ratio, temperatures, and overall cycle efficiency.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Brayton Cycle: The Ideal Cycle for Gas-Turbine Engines
The Brayton cycle is the ideal thermodynamic cycle for gas turbine engines. This page introduces the cycle's key components, processes, and applications.
Components and Processes
The Brayton cycle consists of four main processes:
- Isentropic compression
- Constant pressure heat addition
- Isentropic expansion
- Constant pressure heat rejection
These processes occur in the compressor, combustion chamber, and turbine of a gas turbine engine.
Vocabulary: Isentropic - A process where entropy remains constant.
Key Equations
The Brayton cycle analysis involves several important equations:
- Heat entering and exiting: Qin = H3 - H2 = Cp Qout = H4 - H1 = Cp
- Work in compression and expansion: Wc = Cp WT = Cp
- Pressure ratio: rp = P2 / P1
Definition: Pressure ratio is the ratio of the compressor outlet pressure to the inlet pressure.
Applications
The Brayton cycle has diverse applications, including:
- Military aviation
- Commercial aviation
- Electric power generation
- Transportation
- Industrial processes
Highlight: The Brayton cycle's versatility makes it crucial in both aerospace and power generation industries.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
Where can I download the Knowunity app?
You can download the app in the Google Play Store and in the Apple App Store.
Is Knowunity really free of charge?
You have the choice, we offer a 100% secure payment via PayPal or an Amazon gift card. There is no limit to how much you can earn.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user