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# HW20s - Spring 2006 Thermodynamics Homework#20 Solution 1...

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Spring 2006 1 ME 201 Thermodynamics Homework #20 Solution 1. Consider an internal combustion engine operating on the ideal Dual cycle with the following conditions: Two cylinder, four stroke engine with displacement of 1.6 liters Compression ratio of 7.5 Cutoff Ratio of 1.7 Combustion temperature of 1700 K Engine speed of 1300 rpm The initial temperature and pressure are taken to be 150 kPa and 315 K due to turbocharging of the intake air. Just before the final process (constant volume cooling) 85% of the air is extracted and is used to power a turbine that supplies power to the intake compressor (i.e. the turbocharger). Determine a. engine thermal efficiency b. engine power output c. engine MEP d. exhaust turbine power Solution: We begin by making the calculations for our V BDC and V TDC . We first calculate our displacement volume per cylinder ( ) ( ) V = V N = 1.6 x 10 2 = 8 x 10 m disp cyl disp engine cyl -3 -4 3 From class we found that ( ) m 10 x 1.23 = 1 - 7.5 10 x 8 = 1 - r V = V 3 4 - 4 - cyl disp TDC and ( ) m 10 x 9.23 = 10 x 1.23 10 x 8 = V V = V 3 -4 -4 -4 TDC cyl disp BDC + + Our volume following the constant pressure heating, V 4 , is given by the cutoff ratio V = r V = (1.7)(1.23 x 10 ) = 2.09 x 10 m 4 c TDC -4 -4 3

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ME 201 Thermodynamics Spring 2006 2 We now layout our block diagram for the cycle.
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