Explanation Show the ideal Brayton cycle with regeneration and with air as the working fluid on T − s diagram. For the given Brayton cycle with regeneration and with air as the working fluid T i , P i , h i and P r i are the temperature at i t h state, pressure at i t h state, specific enthalpy at i t h state and relative pressure at i t h state respectively. Write the expression of the pressure ratio relation for the process 1-2. P r 2 = P 2 P 1 ( P r 1 ) (I) Write the expression of the pressure ratio relation for the process 3-4. P r 4 = P 4 P 3 ( P r 3 ) (II) Write the expression of the work input to the compressor ( w C,in ) . w C,in = h 2 − h 1 (III) Write the expression of the work done by the turbine ( w T,out ) . w T,out = h 3 − h 4 (IV) Write the expression of the net work output per kg of the ideal Brayton cycle with regeneration ( w net ) . w net = w T,out − w C,in (V) Write the expression of the heat input to the cycle ( q in ) . q in = h 3 − h 5 (VI) Write the expression of the thermal efficiency of the cycle ( η th ) . η th = w net q in (VII) Conclusion: Refer Table A-17 given in the textbook to find the properties of air at 300 K ( T 1 ) , which gives 300.19 kJ / kg for h 1 , and 1.386 for P r 1 . Substitute 10 for P 2 P 1 , and 1.386 for P r 1 in Equation (I). P r 2 = ( 10 ) ( 1.386 ) = 13.86 Refer Table A-17 given in the textbook to find the properties of air at 13.86 ( P r 1 ) , which gives 579.87 kJ / kg for h 2 . Refer Table A-17 given in the textbook to find the properties of air at 1,200K ( T 3 ) , which gives 1 , 277.79 kJ / kg for h 3 , and 238 for P r 3 . Substitute 1 10 for P 4 P 3 , and 238 for P r 3 in Equation (II)

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

See similar textbooks

Question

Chapter 9.12, Problem 104P

To determine

The net work output of an ideal Brayton cycle with regeneration and the thermal efficiency of an ideal Brayton cycle with regeneration.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.12, Problem 103P

Chapter 9.12, Problem 106P

Chapter 9 Solutions

Thermodynamics: An Engineering Approach

Ch. 9.12 - What are the air-standard assumptions?Ch. 9.12 - What is the difference between air-standard...Ch. 9.12 - How does the thermal efficiency of an ideal cycle,...Ch. 9.12 - What does the area enclosed by the cycle represent...Ch. 9.12 - Prob. 5P Ch. 9.12 - Prob. 6P Ch. 9.12 - Can the mean effective pressure of an automobile...Ch. 9.12 - Prob. 8P Ch. 9.12 - What is the difference between spark-ignition and...Ch. 9.12 - Prob. 10P

Knowledge Booster

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY