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

  • Thread starter Thread starter tracker890 Source h
  • Start date Start date
  • Tags Tags
    Cylinder
AI Thread Summary
The discussion centers on the designation of 2.4-L as the maximum volume (V1) rather than the displacement volume in Example 9-60. It highlights a potential error in the example where the author incorrectly states V1 as 2.4-L, while a calculation suggests it should be 2.514-L. The distinction between maximum volume and displacement volume is clarified, with displacement volume defined as V1 minus V2. Additionally, the cutoff ratio is introduced, defined as the ratio of V3 to V2. This conversation underscores the importance of accurate definitions and calculations in diesel engine examples.
tracker890 Source h
Messages
90
Reaction score
11
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
 
Physics news on Phys.org
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?
 
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.
 
  • Like
Likes tracker890 Source h
Chestermiller said:
What is the definition of cutoff ratio?
$$r_c=\frac{V_3}{V_2}$$
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top