Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Answer Questions C) D) E)

4)
The process of burning fuel in a turbine engine can be modeled by a heat engine that
utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps:
1. Adiabatic compression
2. Isobaric expansion due to heating
3. Adiabatic expansion
4. Isobaric compression
Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial
volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then
compressed adiabatically to a pressure P2= 1,013, 250PA. Next the gas is allowed to
expand isobarically via heating. In the next step the gas expands adiabatically to a
pressure P4 = 101, 325Pa. The Volume at point 3 is 2.5m³ (V3).
a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the
following:
• Label the step with Qh
• Label the step with Qc
• Label the initial point, 2nd point, 3rd point, and the 4th point.
b) What are the following quantities: V2, V3, V4, T2, T3, and T4?
c) What is the work done in going from points 1 to 2?
d) What is the work done in going from points 3 to 4?
rev
e) If the engine operates at 465
what is the power output of this engine?
min
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Transcribed Image Text:4) The process of burning fuel in a turbine engine can be modeled by a heat engine that utilizes a Brayton Cycle. The Brayton Cycle consists of the following steps: 1. Adiabatic compression 2. Isobaric expansion due to heating 3. Adiabatic expansion 4. Isobaric compression Consider a turbine that starts with an initial pressure P1= 101, 325PA, an initial volume V = 2.0m3, and an initial temperature of T1= 300.0k. The gas is then compressed adiabatically to a pressure P2= 1,013, 250PA. Next the gas is allowed to expand isobarically via heating. In the next step the gas expands adiabatically to a pressure P4 = 101, 325Pa. The Volume at point 3 is 2.5m³ (V3). a) Draw a PV diagram for one cycle of this heat engine. Make sure to include the following: • Label the step with Qh • Label the step with Qc • Label the initial point, 2nd point, 3rd point, and the 4th point. b) What are the following quantities: V2, V3, V4, T2, T3, and T4? c) What is the work done in going from points 1 to 2? d) What is the work done in going from points 3 to 4? rev e) If the engine operates at 465 what is the power output of this engine? min
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