A gas turbine engine operates on the simple Brayton cycle withregeneration, as shown in figure below. Air enters the compressor of thisunit at 100 kPa and 27 °C. The compressor pressure ratio is 6 and hotgases enters the turbine at 800 °C. The isentropic efficiencies of thecompressor and the turbine are 85% and 90%, respectively. Pressurelosses across the combustion chamber was found to be 0.1 bar. If themass flow rate of air is 100 kg/s and LCV of fuel is 42000 kJ/kg,determine the following:1- The power output (in MW);2- The regenerator effectiveness;3- A/F ratio;4- Thermal efficiency;5- The specific fuel consumption.1.4 and CpairkJ1.005Take: For air: Yair =||kg. KkJFor gas: Ygas = 1.333 and Cpaas = 1.135kg. KHeat exchangerT4 – T5 = 15 °CComb.CompressorTurbine

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Mechanical Engineering

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A gas turbine engine operates on the simple Brayton cycle with
regeneration, as shown in figure below. Air enters the compressor of this
unit at 100 kPa and 27 °C. The compressor pressure ratio is 6 and hot
gases enters the turbine at 800 °C. The isentropic efficiencies of the
compressor and the turbine are 85% and 90%, respectively. Pressure
losses across the combustion chamber was found to be 0.1 bar. If the
mass flow rate of air is 100 kg/s and LCV of fuel is 42000 kJ/kg,
determine the following:
1- The power output (in MW);
2- The regenerator effectiveness;
3- A/F ratio;
4- Thermal efficiency;
5- The specific fuel consumption.
1.4 and Cpair
kJ
1.005
Take: For air: Yair =
||
kg. K
kJ
For gas: Ygas = 1.333 and Cpaas = 1.135
kg. K
Heat exchanger
T4 – T5 = 15 °C
Comb.
Compressor
Turbine

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