Solving Otto Cycle Problem: Find p2, p3, p4, T2, T3, T4, V2, V3, V4

In summary, the problem is under-defined as P or T is needed for one of the upper points. The equations PVk=const and T1 / T4 = T2 / T3 can be used to find P2 and T2.
  • #1
Dzai
1
0

Homework Statement



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p1, V1, T1 and ε (compression ratio) are known

I need to find:
p2, p3, p4
T2, T3, T4
V2, V3, V4

but I don't know how to find p3, p4, T3, T4

Homework Equations



ε = V1 / V2
V1 = V4
V2 = V3
T1 * V1^(k - 1) = T2 * V2^(k - 1)
T3 * V3^(k - 1) = T4 * V4^(k - 1)
T1 / T4 = T2 / T3
p * V = R * T

R and k are also known

The Attempt at a Solution



V2 = V1 / ε
V3 = V2
V4 = V1

T2 = T1 * ε ^ (k - 1)

p2 = (R * T2) / V2

And this is where I got stuck
 
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  • #2
The problem is under-defined. You need either P or T for one of the upper points.
For the process 1→2, use the other equation PVk=const to find P2.

ehild
 

Related to Solving Otto Cycle Problem: Find p2, p3, p4, T2, T3, T4, V2, V3, V4

1. What is the Otto Cycle?

The Otto Cycle is a theoretical model used to describe the thermodynamic processes of a four-stroke internal combustion engine.

2. What is the purpose of solving the Otto Cycle problem?

The purpose of solving the Otto Cycle problem is to determine the values of key parameters such as pressure, temperature, and volume at different stages of the engine cycle. This information can then be used to analyze the performance and efficiency of the engine.

3. How do you find p2, p3, p4, T2, T3, T4, V2, V3, V4 in the Otto Cycle problem?

To find these values, you would use the equations and relationships of the Otto Cycle, including the ideal gas law, specific heat ratios, and the work and heat transfer equations. These equations can be solved using numerical methods or through graphical analysis.

4. What factors affect the values of p2, p3, p4, T2, T3, T4, V2, V3, V4 in the Otto Cycle?

The values of these parameters are affected by various factors such as the compression ratio, specific heat ratios, and the type of fuel used. Other factors such as engine speed, load, and design also play a role in determining these values.

5. How can the solutions to the Otto Cycle problem be used in real-world applications?

The solutions to the Otto Cycle problem can be used to design and optimize internal combustion engines for better performance and efficiency. They can also be used to analyze and improve existing engine designs and to study the effects of different operating conditions on engine performance.

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