Repost - Please, need to get done by tomorrow, stuck big time

  • Thread starter Thread starter ChronicQuantumAddict
  • Start date Start date
  • Tags Tags
    Stuck Time
Click For Summary
SUMMARY

The discussion focuses on calculating the efficiency of a four-stroke gasoline engine modeled by the Otto cycle. The process involves six distinct steps, including isobaric intake, adiabatic compression, and isochoric temperature changes. The user seeks assistance in determining the heat transfer during each step, which is crucial for calculating the net work done and overall efficiency. For an engine with a compression ratio of r = 8 and a specific heat ratio (gamma) of 1.5, the efficiency can be expressed in terms of temperatures T1, T2, T3, and T4.

PREREQUISITES
  • Understanding of the Otto cycle and its six processes
  • Knowledge of thermodynamics, specifically heat transfer and work done in cyclic processes
  • Familiarity with the concepts of isobaric, adiabatic, and isochoric processes
  • Basic skills in graphing P-V diagrams for thermodynamic cycles
NEXT STEPS
  • Calculate heat transfer for each step of the Otto cycle
  • Learn how to derive the efficiency formula for the Otto cycle using temperature and compression ratio
  • Study the implications of specific heat ratios (gamma) on engine performance
  • Explore practical applications of the Otto cycle in real-world engine design
USEFUL FOR

Students studying thermodynamics, mechanical engineers, and automotive engineers looking to deepen their understanding of engine efficiency and thermodynamic cycles.

ChronicQuantumAddict
Messages
39
Reaction score
0
Please help with the following question, completely lost:
The behavior of a four stroke gasoline engine can be approximated by the so-called Otto cycle. The process is as follows (6 steps):

1) Isobaric Intake (from V=0) at atmospheric pressure up to volume V1 (maximal volume), Temperature T1

2) Adiabatic compression to volume V2, Temperature T2

3) Isochoric increase of Temperature during ignition to T3

4) Adiabatic expansion to V1 (max volume), Temperature T4

5) Isochoric decrease of temperature (to T1)

6) and Isobaric exhaust to V=0 at atmospheric pressure.


Sketch the process in a P-V diagram. Assume the working substance is an ideal gas and calculate the efficiency of the process. Express the result in terms of the temperatures T1, T2, T3, and T4. If the compression ratio is given by r = V1/V2, express the efficieny with r. For an Engine with r = 8, and gamma = 1.5 what do u obtain? (Note gamma is the ratio of specific heats, Cp/Cv).


siddharth said:
Efficiency is going to be (Net work done by the system)/(Total Heat supplied to the system).
So, you have to express the net work done and total heat supplied in terms of the known quantities.
Try calculating the heat supplied to or lost from the system in each step. Since change in the net Internal energy is zero for the whole cyclic process, if you can find the heat supplied to or lost from the system in each step, you can easily find the work done for the whole process.


I was able to graph the thing. Now i need to know how to calculate the heat in between each step, i am clueless as how to do this. i know once i get that, i can easily find the total work, and i know the expression for the efficiency and everything else.

My main problem is how do u get the heat of each step, and i do know that some steps have no heat exchange. please help, this is due tomorrow, and i may have to post it on the board in class.

Thanks very much
 
Physics news on Phys.org
Do not double post and read the FAQ
 
You've already been helped in your original thread.
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
9K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
16
Views
4K
Replies
5
Views
5K
  • · Replies 8 ·
Replies
8
Views
4K
Replies
3
Views
11K
  • · Replies 11 ·
Replies
11
Views
32K