Why is 2.4-L Max Vol V1 in Diesel Engine Cylinder Example 9-60?

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In summary, the conversation discusses the difference between maximum volume and displacement volume, and the incorrect use of V1 as 2.4-L in Example 9-60. The definition of cutoff ratio is also provided as V3/V2.
  • #1
tracker890 Source h
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Homework Statement
Distinguishing between maximum volume and displacement volume.
Relevant Equations
displacement volume formula
1689580222034.png

1689581129463.png

Q: Why is 2.4-L referred to as the maximum volume instead of the displacement volume in Example 9-60?
note: maximum volume = V1. displacement volume=V1-V2

reference:
displacement volume
9-60
9-153
9-164
9-167
 
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  • #2
tracker890 Source h said:
Homework Statement: Distinguishing between maximum volume and displacement volume.
Relevant Equations: displacement volume formula

View attachment 329356
View attachment 329357
Q: Why is 2.4-L referred to as the maximum volume instead of the displacement volume in Example 9-60?
note: maximum volume = V1. displacement volume=V1-V2

reference:
displacement volume
9-60
9-153
9-164
9-167
What is the definition of cutoff ratio?
 
  • #3
tracker890 Source h said:
Q: Why is 2.4-L referred to as the maximum volume instead of the displacement volume in Example 9-60?
Post #1 has too many links to read through and it is not clear why you have included them.

However, in the model answer for Example 9.60, the author uses ##V_1= 0.0024m^3 (=2.4L)## which, as you say, is incorrect. (I get ##V_1 = 2.514L##.) Presumably that's the problem about which you are asking.

So it looks like a simple mistake by the author.
 
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  • #4
Chestermiller said:
What is the definition of cutoff ratio?
$$r_c=\frac{V_3}{V_2}$$
 

1. Why is 2.4-L the maximum volume in a diesel engine cylinder?

2.4-L is the maximum volume in a diesel engine cylinder because it is the optimal size for efficient combustion. This volume allows for the proper ratio of fuel and air to be injected into the cylinder, resulting in a more complete and powerful combustion process.

2. What does V1 stand for in the example 9-60?

In this example, V1 stands for the initial volume of the diesel engine cylinder before combustion occurs. This value is important in calculating the change in volume during the combustion process.

3. How is the maximum volume determined for a diesel engine cylinder?

The maximum volume in a diesel engine cylinder is determined through a combination of factors such as the engine's design, fuel injection system, and desired power output. Engineers use mathematical calculations and computer simulations to determine the optimal volume for a specific engine.

4. Why is it important to have a maximum volume in a diesel engine cylinder?

The maximum volume in a diesel engine cylinder is important because it affects the engine's performance and efficiency. Too small of a volume can result in incomplete combustion and reduced power, while too large of a volume can lead to inefficient fuel usage and increased emissions.

5. How does the maximum volume in a diesel engine cylinder affect its lifespan?

The maximum volume in a diesel engine cylinder does not directly affect its lifespan. However, having the correct volume allows for efficient combustion and reduces wear and tear on the engine, which can ultimately lead to a longer lifespan.

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