The following Brayton cycle is assumed to operate on air with an inlet pressure of 100 kPa, an inlet temperature of 300 K, a pressure ratio of 15, a heater outlet temperature of 1600 K, and an exhaust pressure of 100 kPa. Both the compressor and turbine are adiabatic. The compressor efficiency is 80%, while the turbine efficiency is 90%. (Note that compressor efficiencies are generally less than turbine efficiencies due to the tendency of the gas flows to go into a stall condition while passing over the compressor blades). Using the variable specific heat treatment, find the cycle efficiency (Wnet/Qin) and the exhaust temperature (K). Compressor Heater W W+ Turbine

Elements Of Electromagnetics
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1. The PACCAR MX-13 diesel engine is used in Kenworth and Peterbilt trucks. It has the
following specifications:
6 cylinder, in-line configuration
• Bore: 130 mm
•
Stroke: 162 mm
Displacement: 12.9 liter (can calculate from bore, stroke, and 6 cylinders)
Cruise at 1500 RPM
• Compression ratio: 16.5:1
Cruise cutoff ratio: 2 (this is an estimate on my part)
Assume the air standard cycle and ambient conditions of 100 kPa, 300 K, which set the
conditions at the start of the compression stroke. Find:
(a) The cycle efficiency
(b) The horsepower output
Things to remember:
The cylinder volume needed to find the mass of air in the cylinder is not the
displacement volume (12.9 liters)/6. Displacement volume is VBDC-VTDC. You need to
use the compression ratio to get values for VBDC and VTDC.
• In four-stroke engines, there one power cycle for every two crank rotations. The
other rotation just involves pushing the exhaust out and bringing the fresh air in.
• Note that in these systems, it is often easier to find Wnet-qin-qout.
• Partial answer: I got in the neighborhood of 150 HP.
Qin
2. The following Brayton cycle is assumed to operate on air with an inlet pressure of 100
kPa, an inlet temperature of 300 K, a pressure ratio of 15, a heater outlet temperature of
1600 K, and an exhaust pressure of 100 kPa. Both the compressor and turbine are
adiabatic. The compressor efficiency is 80%, while the
turbine efficiency is 90%. (Note that compressor
efficiencies are generally less than turbine efficiencies
due to the tendency of the gas flows to go into a stall
condition while passing over the compressor blades).
Using the variable specific heat treatment, find the cycle
efficiency (Wnet/Qin) and the exhaust temperature (K).
Compressor
Heater
W₁
W+
Turbine
Transcribed Image Text:1. The PACCAR MX-13 diesel engine is used in Kenworth and Peterbilt trucks. It has the following specifications: 6 cylinder, in-line configuration • Bore: 130 mm • Stroke: 162 mm Displacement: 12.9 liter (can calculate from bore, stroke, and 6 cylinders) Cruise at 1500 RPM • Compression ratio: 16.5:1 Cruise cutoff ratio: 2 (this is an estimate on my part) Assume the air standard cycle and ambient conditions of 100 kPa, 300 K, which set the conditions at the start of the compression stroke. Find: (a) The cycle efficiency (b) The horsepower output Things to remember: The cylinder volume needed to find the mass of air in the cylinder is not the displacement volume (12.9 liters)/6. Displacement volume is VBDC-VTDC. You need to use the compression ratio to get values for VBDC and VTDC. • In four-stroke engines, there one power cycle for every two crank rotations. The other rotation just involves pushing the exhaust out and bringing the fresh air in. • Note that in these systems, it is often easier to find Wnet-qin-qout. • Partial answer: I got in the neighborhood of 150 HP. Qin 2. The following Brayton cycle is assumed to operate on air with an inlet pressure of 100 kPa, an inlet temperature of 300 K, a pressure ratio of 15, a heater outlet temperature of 1600 K, and an exhaust pressure of 100 kPa. Both the compressor and turbine are adiabatic. The compressor efficiency is 80%, while the turbine efficiency is 90%. (Note that compressor efficiencies are generally less than turbine efficiencies due to the tendency of the gas flows to go into a stall condition while passing over the compressor blades). Using the variable specific heat treatment, find the cycle efficiency (Wnet/Qin) and the exhaust temperature (K). Compressor Heater W₁ W+ Turbine
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