The 3 Cycles Compared
In the last article we compared the three cycles their compression ratio and heat rejection were kept constant for all cycles. In this article we will focus on peak pressure, peak temperature and heat rejection. The P-V and T-S diagrams of these three cycles for such a situation are drawn simultaneously as described below.
In the above diagrams the following are the cycles
- Otto cycle: 1 – 2 – 3 – 4 – 1
- Dual cycle: 1 – 2’ – 3’ – 3 – 4 – 1
- Diesel cycle: 1 – 2" – 3 – 4 – 1
Remember that we are assuming the same peak pressure denoted by Pmax on the P-V diagram. And from the T-S diagram we know that T3 is the highest of the peak temperature which is again same for all three cycles under consideration. Heat rejection given by the area under 4 – 1 – 5 – 6 in the T-S diagram is also same for each case.
In this case the compression ratio is different for each cycle and can be found by dividing V1 with the respective V2 volumes of each cycle from the P-V diagram. The heat supplied or added in each cycle is given by the areas as follows from the T-S diagram
- Otto cycle: Area under 2 – 3 – 6 – 5 say q1
- Dual cycle: Area under 2’ – 2’ – 3 – 6 - 5 say q2
- Diesel cycle: Area under 2" – 3 – 6 – 5 say q3
It can also be seen from the same diagram that q3>q2>q1
We know that thermal efficiency is given by 1 – heat rejected/heat supplied
Since heat rejected is same and we know the order of magnitude of heat supplied, we can combine this information to conclude that
Thermal efficiency of these engines under given circumstances is of the following order
Hence in this case it is the diesel cycle which shows greater thermal efficiency.