Explanation Show the simple Brayton cycle, and with air as the working fluid on T − s diagram as in Figure (1). Write the temperature and pressure relation ratio for the process 1-2. T 2 = T 1 ( P 2 P 1 ) ( k − 1 ) / k T 2 = T 1 ( r p ) ( k − 1 ) / k (I) Here, the specific heat ratio is k and pressure ratio is r p , temperature at state 1 is T 1 , temperature at state 2 is T 2 , pressure at state 1 is P 1 and pressure at state 2 is P 2 . Write the temperature and pressure relation ratio for the process 3-4. T 4 = T 3 ( P 4 P 3 ) ( k − 1 ) / k T 4 = T 3 ( 1 r p ) ( k − 1 ) / k (II) Here, temperature at state 4 is T 4 , temperature at state 3 is T 3 , pressure at state 4 is P 4 and pressure at state 3 is P 3 . Conclusion: The exit temperature of compressor and turbine are equal ( T 2 = T 4 ) . From Equation (I) and Equation (II), obtain the pressure ratio ( r p )

9th Edition

ISBN: 8220106796979

Author: CENGEL

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 9.12, Problem 169RP

To determine

The pressure ratio for the given simple Brayton cycle.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.12, Problem 168RP

Chapter 9.12, Problem 170RP

Students have asked these similar questions

please answer quickly

Consider an ideal Brayton cycle using air as the working fluid, operating with a pressure ratio of 17. Air at 50 kg/s enters the compressor at 150 kPa and 700 K. The air then enters the turbine at 3000 K. Assume gas constant and specific heats at room temperature. Apply the ideal gas equation of state and isentropic relationships of ideal gas appropriately. (а) Analyse all pressures and temperatures in the cycle (b) Using values of Qin, Qout and Wnet in MW, determine the thermal efficiency of the суcle. (c) Illustrate proper P - v and T –s diagrams for the cycle, indicating all pressures and temperatures obtained in (a).

For an ideal Diesel cycle, (a) Draw the P-v and T-s diagrams (b) Using the first law, find the expression for thermal efficiency in terms of enthalpy and internal energy (c) Simplify the expression in (b) using cold air standard assumptions and express it in terms of the compression ratio, cutoff ratio, and the specific heat ratio.

Chapter 9 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 9.12 - What are the air-standard assumptions?Ch. 9.12 - What is the difference between air-standard...Ch. 9.12 - Prob. 3P Ch. 9.12 - How does the thermal efficiency of an ideal cycle,...Ch. 9.12 - How are the combustion and exhaust processes...Ch. 9.12 - What does the area enclosed by the cycle represent...Ch. 9.12 - Prob. 7P Ch. 9.12 - Can the mean effective pressure of an automobile...Ch. 9.12 - What is the difference between spark-ignition and...Ch. 9.12 - Prob. 10P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The pressure ratio for the given simple Brayton cycle.

Solution Summary: The author shows the simple Brayton cycle, and with air as the working fluid on T-s diagram as in Figure (1).

Videos

The pressure ratio for the given simple Brayton cycle.

Want to see the full answer?

Chapter 9 Solutions