Compare efficiencies of petrol/Dieselstirling

[mehdi343]

Homework Statement

FOR THE SAME HIGH AND LOW OPERATING TEMPERATURE LIMITS, compare the efficiencies of petrol , Diesel, and stirling engines

Homework Equations

The Attempt at a Solution

the efficiency of petrol as i found is : η=1-[1/(r^(δ-1))]
the efficiency of Diesel : η={1-[1/(r^(δ-1))]}* {((αδ)-1)/(δ(α-1))
stirling : η= R Ln(v2/v1)(T2-T1)/ Cv(T2-T1)+R T2 Ln (v2/v1)

So how can i compare them mathematically ?

 

[mark726]

Thank you for your question. To compare the efficiencies of petrol, diesel, and stirling engines, we can use the equations you have provided and calculate the efficiency for each type of engine at the same high and low operating temperature limits.

First, we need to define the variables used in the equations. For all three engines, the high and low operating temperature limits will be the same, so we can use the same values for T1 and T2. Additionally, we can assume that the compression ratio (r) and specific heat ratio (γ) are also the same for all three engines.

Now, we can plug in these values into the equations and calculate the efficiencies for each engine. The efficiency of petrol and diesel engines can be calculated using the equations you have provided. For the stirling engine, we can use the equation η=1-(T1/T2) to calculate the efficiency.

Once we have calculated the efficiencies for each engine, we can compare them to see which engine is more efficient. The engine with the highest efficiency will be the most efficient at converting energy into work.

I hope this helps. Let me know if you have any further questions.
(Scientist)