Mechanical Engineering Exam > Mechanical Engineering Questions > Air enters the compressor of a gas turbine pl...
Start Learning for Free
Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4?
Most Upvoted Answer
Air enters the compressor of a gas turbine plant operating on Brayton ...
Brayton Cycle
The Brayton cycle is a thermodynamic cycle that describes the workings of a gas turbine engine. It consists of four processes: compression, heating, expansion, and cooling. The cycle is named after George Brayton, who developed a constant-pressure internal combustion engine that used this cycle.
Given Data
- Inlet Pressure (P1) = 101.325 kPa
- Inlet Temperature (T1) = 27°C
- Pressure Ratio (PR) = 6
- Turbine work (WT) = 2.5 * Compressor work (WC)
- Specific Heat Ratio (γ) = 1.4
Solution
Step 1: Calculate Compressor Outlet Conditions
Since the process 1-2 is isentropic, we can use the isentropic relations to find the outlet conditions of the compressor.
Isentropic Relations:
P2/P1 = (T2/T1)^(γ/(γ-1))
T2/T1 = (P2/P1)^((γ-1)/γ)
Solution:
P2/P1 = PR = 6
T2/T1 = (6)^((1.4-1)/1.4) = 2.496
T2 = T1 * (P2/P1)^((γ-1)/γ) = 27 * 2.496 = 67.5°C
P2 = P1 * PR = 101.325 * 6 = 607.95 kPa
Step 2: Calculate Turbine Outlet Conditions
Since the process 3-4 is isentropic, we can use the isentropic relations to find the outlet conditions of the turbine.
Isentropic Relations:
P4/P3 = (T4/T3)^(γ/(γ-1))
T4/T3 = (P4/P3)^((γ-1)/γ)
Solution:
P4/P3 = 1/PR = 1/6
T4/T3 = (1/6)^((1.4-1)/1.4) = 0.622
T4 = T3 * (P4/P3)^((γ-1)/γ) = T3 * 0.622
(P3/P4)^(γ/(γ-1)) = T3/T4 = (0.622)^(-1.4/0.4)
P3/P4 = 2.619
P3 = P4 * 2.619 = 607.95 * 2.619 = 1591.6 kPa
Step 3: Calculate Maximum Temperature
The maximum temperature in the cycle occurs at the turbine outlet (process 4-1). Since we know the turbine outlet pressure and temperature, we can use the following relation to find the maximum temperature in the cycle.
Relation:
(T4/T1) = (P4/P1)^((γ-1)/γ)
Solution:
(T4/T1) = (P4/P1)^((γ-1)/γ) = (1591.6/101.325)^(0.4) = 10.46
T4 =
The Brayton cycle is a thermodynamic cycle that describes the workings of a gas turbine engine. It consists of four processes: compression, heating, expansion, and cooling. The cycle is named after George Brayton, who developed a constant-pressure internal combustion engine that used this cycle.
Given Data
- Inlet Pressure (P1) = 101.325 kPa
- Inlet Temperature (T1) = 27°C
- Pressure Ratio (PR) = 6
- Turbine work (WT) = 2.5 * Compressor work (WC)
- Specific Heat Ratio (γ) = 1.4
Solution
Step 1: Calculate Compressor Outlet Conditions
Since the process 1-2 is isentropic, we can use the isentropic relations to find the outlet conditions of the compressor.
Isentropic Relations:
P2/P1 = (T2/T1)^(γ/(γ-1))
T2/T1 = (P2/P1)^((γ-1)/γ)
Solution:
P2/P1 = PR = 6
T2/T1 = (6)^((1.4-1)/1.4) = 2.496
T2 = T1 * (P2/P1)^((γ-1)/γ) = 27 * 2.496 = 67.5°C
P2 = P1 * PR = 101.325 * 6 = 607.95 kPa
Step 2: Calculate Turbine Outlet Conditions
Since the process 3-4 is isentropic, we can use the isentropic relations to find the outlet conditions of the turbine.
Isentropic Relations:
P4/P3 = (T4/T3)^(γ/(γ-1))
T4/T3 = (P4/P3)^((γ-1)/γ)
Solution:
P4/P3 = 1/PR = 1/6
T4/T3 = (1/6)^((1.4-1)/1.4) = 0.622
T4 = T3 * (P4/P3)^((γ-1)/γ) = T3 * 0.622
(P3/P4)^(γ/(γ-1)) = T3/T4 = (0.622)^(-1.4/0.4)
P3/P4 = 2.619
P3 = P4 * 2.619 = 607.95 * 2.619 = 1591.6 kPa
Step 3: Calculate Maximum Temperature
The maximum temperature in the cycle occurs at the turbine outlet (process 4-1). Since we know the turbine outlet pressure and temperature, we can use the following relation to find the maximum temperature in the cycle.
Relation:
(T4/T1) = (P4/P1)^((γ-1)/γ)
Solution:
(T4/T1) = (P4/P1)^((γ-1)/γ) = (1591.6/101.325)^(0.4) = 10.46
T4 =
Community Answer
Air enters the compressor of a gas turbine plant operating on Brayton ...
?
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4?
Question Description
Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4?.
Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4?.
Solutions for Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? defined & explained in the simplest way possible. Besides giving the explanation of
Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4?, a detailed solution for Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? has been provided alongside types of Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? theory, EduRev gives you an
ample number of questions to practice Air enters the compressor of a gas turbine plant operating on Brayton cycle at 101.325kPa, 27 degree Celsius. The Pressure Ratio is 6. Calculate the maximum temperature in the cycle and the cycle efficiency. Assume Turbine work=2.5*Compressor work. Take gamma=1.4? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup