A six-cylinder, four-stroke, 3.2-L compression-ignition engine operates on the ideal diesel cycle with a compression ratio of 20. The air is at 100 kPa and 67°C at the beginning of the compression process and the engine speed is 2000 rpm. The engine uses light diesel fuel with a heating value of 45,000 kJ/kg, an air-fuel ratio of 29, and a combustion efficiency of 95 percent. Although the air-fuel mixture in a real Diesel engine is combusted inside the cylinder, consider here an idealized scenario in which the cylinder contains only air. The energy provided via combustion is then treated as heat transfer across the boundary of the cylinder. Using constant specific heats at 850 K, determine mair mfuel the maximum temperature in the cycle and the cutoff ratio, the net work output per cycle, the thermal efficiency, the net power output,

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Problem 1 (Ideal Diesel Cycle)
A six-cylinder, four-stroke, 3.2-L compression-ignition engine operates on the ideal diesel cycle
with a compression ratio of 20. The air is at 100 kPa and 67°C at the beginning of the compression
process and the engine speed is 2000 rpm. The engine uses light diesel fuel with a heating value
of 45,000 kJ/kg, an air-fuel ratio
of 29, and a combustion efficiency of 95 percent.
Although the air-fuel mixture in a real Diesel engine is combusted inside the cylinder, consider
here an idealized scenario in which the cylinder contains only air. The energy provided via
combustion is then treated as heat transfer across the boundary of the cylinder.
mair
mfuel
Using constant specific heats at 850 K, determine
the maximum temperature in the cycle and the cutoff ratio,
the net work output per cycle,
the thermal efficiency,
the net power output,
Note: Since this is a 4-stroke engine, each process on the P-v diagram represents one
stroke of the piston. Furthermore, there are 2 piston strokes for every one engine
revolution, and so it takes 2 engine revolutions to complete the thermodynamic cycle
represented on the P-v diagram.
the specific fuel consumption in g/kWh, defined as the ratio of the mass of the fuel
consumed to the net work produced.
Hint: The total thermal energy provided by the combustion of the fuel can be written as
= mfuel HVf fuel combustion
Qfuel
Transcribed Image Text:Problem 1 (Ideal Diesel Cycle) A six-cylinder, four-stroke, 3.2-L compression-ignition engine operates on the ideal diesel cycle with a compression ratio of 20. The air is at 100 kPa and 67°C at the beginning of the compression process and the engine speed is 2000 rpm. The engine uses light diesel fuel with a heating value of 45,000 kJ/kg, an air-fuel ratio of 29, and a combustion efficiency of 95 percent. Although the air-fuel mixture in a real Diesel engine is combusted inside the cylinder, consider here an idealized scenario in which the cylinder contains only air. The energy provided via combustion is then treated as heat transfer across the boundary of the cylinder. mair mfuel Using constant specific heats at 850 K, determine the maximum temperature in the cycle and the cutoff ratio, the net work output per cycle, the thermal efficiency, the net power output, Note: Since this is a 4-stroke engine, each process on the P-v diagram represents one stroke of the piston. Furthermore, there are 2 piston strokes for every one engine revolution, and so it takes 2 engine revolutions to complete the thermodynamic cycle represented on the P-v diagram. the specific fuel consumption in g/kWh, defined as the ratio of the mass of the fuel consumed to the net work produced. Hint: The total thermal energy provided by the combustion of the fuel can be written as = mfuel HVf fuel combustion Qfuel
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