In a gas-turbine power plant, there is a limit on the maximm temperature at the turbine inlet imposed by metallurgical considerations of tlie turbine blades, In order to increase the efficie one consideration is to increase the compressor pressure ratio keeping the turbine inlet temperature constant. Increasing the compressor pressure ratio will also decrease the net wor developed per unit mass flow rate. Consider a gas-turbine power plant operating on a simple Brayton Cycle with air as the work fluid. The air enters the turbine at 1100 K and leaves at 110 kPa and 660 K. Heat is rejected the surroundings at a rate of 6750 kJ/ s, and air flows through the cycle at a rate of 18 kg/s. Assuming both the turbine and the compressor to be isentropic, determine the best compress ratio for optinmum efficiency and net workper nit mass flow rate of the plant. To solve this problem vou latel aske desion a compression #tio of a gas-turbine

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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|In a gas-turbine power plant. there is a limit on the maximm temperature at the turbine inlet
imposed by metallurgical considerations of tlie turbine blades, In order to increase the efficiency,
one consideration is to increase the conmpressor pressure ratio keeping the turbine inlet
temperature constant. Increasing the compressor pressure ratio will also decrease the net work
developed per unit mass flow rate,
Consider a gas-turbine power plant operating on a simple Brayton Cycle with air as the working
fluid. The air enters the turbine at 1100 K and leaves at 110 kPa and 660 K. Heat is rejected to
the surroundings at a rate of 6750 kJ/s, and air flows through the cycle at a rate of 18 kg/s.
Assuming both the turbine and the compressor to be isentropic. determine the best compression
ratio for optimum efficiency and net work per unit mass flow rate of the plant.
To solve this problem, you are asked to design a compression #3aio of a gas-turbine power
plant that will provide the best combination of plant thermal efficiency and net work output per
unit mass flow rate.
(a) Discuss your new design of the compression ratio to satisfy the problems requirement.
(b) Compute the thermal efficiencies and net work per unit mass flow rates for several
compression ratios keeping the turbine inlet temperature constant at 1100 K. Plot the
thermal efficiency and the flow work vs pressure ratio on a single plot. Analyze the
results and suggest an optimum compressor pressure based on your plot. Account for
the variation of specific heats with temperature in evaluating the air properties.
Clearly list all the assumptions you use for your calculations. Show all steps in your
calculations and type equations directly in Microsoft Word.
Transcribed Image Text:|In a gas-turbine power plant. there is a limit on the maximm temperature at the turbine inlet imposed by metallurgical considerations of tlie turbine blades, In order to increase the efficiency, one consideration is to increase the conmpressor pressure ratio keeping the turbine inlet temperature constant. Increasing the compressor pressure ratio will also decrease the net work developed per unit mass flow rate, Consider a gas-turbine power plant operating on a simple Brayton Cycle with air as the working fluid. The air enters the turbine at 1100 K and leaves at 110 kPa and 660 K. Heat is rejected to the surroundings at a rate of 6750 kJ/s, and air flows through the cycle at a rate of 18 kg/s. Assuming both the turbine and the compressor to be isentropic. determine the best compression ratio for optimum efficiency and net work per unit mass flow rate of the plant. To solve this problem, you are asked to design a compression #3aio of a gas-turbine power plant that will provide the best combination of plant thermal efficiency and net work output per unit mass flow rate. (a) Discuss your new design of the compression ratio to satisfy the problems requirement. (b) Compute the thermal efficiencies and net work per unit mass flow rates for several compression ratios keeping the turbine inlet temperature constant at 1100 K. Plot the thermal efficiency and the flow work vs pressure ratio on a single plot. Analyze the results and suggest an optimum compressor pressure based on your plot. Account for the variation of specific heats with temperature in evaluating the air properties. Clearly list all the assumptions you use for your calculations. Show all steps in your calculations and type equations directly in Microsoft Word.
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