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Morse test for friction power

Short answer

Morse test: each cylinder cut out, IP of cut cylinder = BP_all - BP_cut. Here cylinder IPs are 17.4, 18.0, 16.9, 17.7 kW; total IP =70.0 kW, FP =7.5 kW, ηm =89.3%.

Explain the Morse test for finding the indicated power of a multi-cylinder engine. In a Morse test on a four-cylinder, four-stroke petrol engine running at constant speed of 2000 rpm, the brake power with all cylinders working was 62.5 kW. When cylinders 1, 2, 3 and 4 were cut out in turn, the brake powers were 45.1 kW, 44.5 kW, 45.6 kW and 44.8 kW respectively. Find the indicated power of each cylinder, the total indicated power, friction power and mechanical efficiency.

Morse test

It is used for multi-cylinder engines. The engine is run at a fixed speed and load, and the brake power BB is measured with all cylinders firing. Then one cylinder is cut out (by shorting the spark plug in an SI engine, or cutting the fuel in a CI engine) and the load is reduced so that the speed returns to the original value. The new brake power B1B_1 is measured. The other cylinders keep running, and the friction and pumping power of the dead cylinder is still the same, so

IP1=B−B1IP_1 = B - B_1

is the indicated power of the cut-out cylinder. The process is repeated for each cylinder and IP=∑IPiIP = \sum IP_i. Then FP=IP−BFP = IP - B and ηm=B/IP\eta_m = B/IP. It gives a result without any indicator, but it assumes that friction does not change when a cylinder is cut out.

Calculation

Cylinder cut outBiB_i (kW)IPi=62.5−BiIP_i = 62.5 - B_i (kW)
145.117.4
244.518.0
345.616.9
444.817.7
Total70.0
IP=17.4+18.0+16.9+17.7=70.0 kWFP=70.0−62.5=7.5 kWηm=62.570.0=0.893\begin{aligned} IP &= 17.4 + 18.0 + 16.9 + 17.7 = 70.0\ \text{kW} \\ FP &= 70.0 - 62.5 = 7.5\ \text{kW} \\ \eta_m &= \frac{62.5}{70.0} = 0.893 \end{aligned}

Answer: cylinder indicated powers 17.4, 18.0, 16.9 and 17.7 kW; IP = 70.0 kW; FP = 7.5 kW; ηm\eta_m = 89.3%.

✓ Answer checked by Claude Opus 5.5 (high effort)

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