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Troels Dyhr Pedersen.indd - Solid Mechanics

Troels Dyhr Pedersen.indd - Solid Mechanics

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At lambda 4, IMEP peaks at a compression ratio of<br />

10.2 for 1000 RPM, while at 2000 and 3000 RPM a<br />

much higher compression ratio of 11.4 must be<br />

used. At this point IMEP at 1000 RPM is still close<br />

to the peak value, which makes 11.4 the best<br />

solution for all speeds.<br />

For all equivalence ratios and compression ratios it<br />

is found that increasing engine speed from 1000<br />

RPM to 2000 RPM significantly increases IMEP<br />

The benefit of further increasing to 3000 RPM is<br />

less, probably because engine knock is higher at<br />

this speed.<br />

Whereas the optimal compression ratio should<br />

ideally be that which results in a combustion<br />

phasing slightly after TDC, it is found that at over<br />

advanced combustion phasing does not have a<br />

very large effect on the IMEP. It may be explained<br />

by better combustion efficiency when higher<br />

compression ratios are applied.<br />

IMEP [Bar]<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

IMEP for lambda 2.5<br />

8.8 9.0 9.2 9.4 9.6 9.8 10.0 10.2<br />

Figure 28: IMEP for lambda 2.5<br />

IMEP [Bar]<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

IMEP for lambda 3<br />

8.8 9.0 9.2 9.4 9.6 9.8 10.0 10.2 10.4 10.6 10.8 11.0 11.2 CR<br />

Figure 29: IMEP for lambda 3<br />

IMEP [Bar]<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

IMEP for lambda 4<br />

Figure 30: IMEP for lambda 4<br />

9.8<br />

10.0<br />

10.2<br />

10.4<br />

10.6<br />

10.8<br />

11.0<br />

11.2<br />

11.4<br />

11.6<br />

11.8<br />

12.0<br />

12.2<br />

12.4<br />

12.6<br />

12.8<br />

CR<br />

CR<br />

1000<br />

2000<br />

3000<br />

1000<br />

2000<br />

3000<br />

1000<br />

2000<br />

3000<br />

Indicated efficiencies<br />

Figures 31-33 contain the calculated values of<br />

indicated efficiencies. As the amount of fuel per<br />

cycle was kept constant for each lambda, the<br />

graphical representation is also the same as that<br />

for IMEP. The effects of engine speed and<br />

compression ratio on the indicated efficiencies are<br />

of course the same as are observed for IMEP.<br />

High indicated efficiencies of 40-45 percent are<br />

observed at lambda 3 and 4 at engine speeds of<br />

2000 and 3000 RPM. This is believed to be a result<br />

of both a higher compression ratio and less heat<br />

loss due to engine speed.<br />

The indicated efficiency at lambda 2.5 is more<br />

modest, around 30-35 percent. This is most likely<br />

due to the lower compression ratio and higher heat<br />

losses due to higher temperatures.<br />

IMEP [Bar]<br />

0.50<br />

0.45<br />

0.40<br />

0.35<br />

0.30<br />

0.25<br />

0.20<br />

0.15<br />

0.10<br />

0.05<br />

0.00<br />

Indicated efficiency for lambda 2.5<br />

8.8 9.0 9.2 9.4 9.6 9.8 10.0 10.2 CR<br />

Figure 31: Indicated efficiency for lambda 2.5<br />

IMEP [Bar]<br />

0.50<br />

0.45<br />

0.40<br />

0.35<br />

0.30<br />

0.25<br />

0.20<br />

0.15<br />

0.10<br />

0.05<br />

0.00<br />

Indicated efficiency for lambda 3<br />

8.8<br />

9.0<br />

9.2<br />

9.4<br />

9.6<br />

9.8<br />

10.0<br />

10.2<br />

10.4<br />

10.6<br />

10.8<br />

11.0<br />

11.2<br />

11.4<br />

Figure 32: Indicated efficiency for lambda 3<br />

IMEP [Bar]<br />

0.50<br />

0.45<br />

0.40<br />

0.35<br />

0.30<br />

0.25<br />

0.20<br />

0.15<br />

0.10<br />

0.05<br />

0.00<br />

9.8<br />

10.0<br />

10.2<br />

10.4<br />

10.6<br />

Indicated efficiency for lambda 4<br />

10.8<br />

11.0<br />

11.2<br />

11.4<br />

11.6<br />

11.8<br />

12.0<br />

12.2<br />

12.4<br />

12.6<br />

Figure 33: Indicated efficiency for lambda 4<br />

12.8<br />

CR<br />

CR<br />

1000<br />

2000<br />

3000<br />

1000<br />

2000<br />

3000<br />

1000<br />

2000<br />

3000

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