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

motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine: a) the minimum permissible diameter for aluminum shafts (1) and (2) b) the minimum permissible diameter for steel shaft (3). c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

First monthly exam Gas dynamics Third stage Q1/Water at 15° C flow through a 300 mm diameter riveted steel pipe, E-3 mm with a head loss of 6 m in 300 m length. Determine the flow rate in pipe. Use moody chart. Q2/ Assume a car's exhaust system can be approximated as 14 ft long and 0.125 ft-diameter cast-iron pipe ( = 0.00085 ft) with the equivalent of (6) regular 90° flanged elbows (KL = 0.3) and a muffler. The muffler acts as a resistor with a loss coefficient of KL= 8.5. Determine the pressure at the beginning of the exhaust system (pl) if the flowrate is 0.10 cfs, and the exhaust has the same properties as air.(p = 1.74 × 10-3 slug/ft³, u= 4.7 x 10-7 lb.s/ft²) Use moody chart (1) MIDAS Kel=0.3 Q3/Liquid ammonia at -20°C is flowing through a 30 m long section of a 5 mm diameter copper tube(e = 1.5 × 10-6 m) at a rate of 0.15 kg/s. Determine the pressure drop and the head losses. .μ= 2.36 × 10-4 kg/m.s)p = 665.1 kg/m³

2/Y Y+1 2Cp Q1/ Show that Cda Az x P1 mactual Cdf Af R/T₁ 2pf(P1-P2-zxgxpf) Q2/ A simple jet carburetor has to supply 5 Kg of air per minute. The air is at a pressure of 1.013 bar and a temperature of 27 °C. Calculate the throat diameter of the choke for air flow velocity of 90 m/sec. Take velocity coefficient to be 0.8. Assume isentropic flow and the flow to be compressible. Quiz/ Determine the air-fuel ratio supplied at 5000 m altitude by a carburetor which is adjusted to give an air-fuel ratio of 14:1 at sea level where air temperature is 27 °C and pressure is 1.013 bar. The temperature of air decreases with altitude as given by the expression The air pressure decreases with altitude as per relation h = 19200 log10 (1.013), where P is in bar. State any assumptions made. t = ts P 0.0065h

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