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?
$$r_c=\frac{V_3}{V_2}$$
 

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

Why is the maximum volume in a diesel engine cylinder important?

The maximum volume in a diesel engine cylinder, often referred to as the "swept volume" or "displacement," is crucial because it determines the engine's capacity to intake air and fuel, which directly affects its power output and efficiency. In Example 9-60, the 2.4-L max volume indicates the engine's ability to handle a specific amount of air-fuel mixture, impacting its performance characteristics.

How is the maximum volume of 2.4-L determined in a diesel engine cylinder?

The maximum volume of 2.4-L in a diesel engine cylinder is determined by the engine's bore (diameter of the cylinder) and stroke (distance the piston travels). The volume is calculated using the formula for the volume of a cylinder: V = π/4 × bore² × stroke × number of cylinders. This calculation ensures that the engine's design meets the desired performance specifications.

What role does the 2.4-L max volume play in the efficiency of a diesel engine?

The 2.4-L max volume plays a significant role in the efficiency of a diesel engine by influencing the compression ratio, which is the ratio of the maximum to the minimum volume in the cylinder. A higher compression ratio typically leads to better fuel efficiency and more complete combustion, which is critical for diesel engines due to their reliance on compression ignition.

Why is the 2.4-L max volume used as an example in engineering problems like Example 9-60?

The 2.4-L max volume is used as an example in engineering problems like Example 9-60 to provide a realistic and practical context for understanding engine dynamics. It allows students and engineers to apply theoretical concepts to real-world scenarios, helping them grasp the implications of engine design choices on performance and efficiency.

What are the implications of changing the maximum volume in a diesel engine cylinder?

Changing the maximum volume in a diesel engine cylinder can have several implications, including alterations in power output, fuel efficiency, and emissions. Increasing the volume generally leads to higher power output but may also result in increased fuel consumption and emissions. Conversely, decreasing the volume can improve fuel efficiency and reduce emissions but may limit the engine's power. Engineers must balance these factors to meet specific performance and regulatory requirements.

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