Can someone help me to calculate the velocity at Stack Tip?

[Suradanai]

Homework Statement

How can we calculate the velocity at stack tip if the distance of larger diameter is 2.5 m?
I think i cannot use the equation of V1A1 = V2A2 because they may have some effect from 2.5 m of distance.
Thank you very much.

Homework Equations

Q1=Q2

The Attempt at a Solution

V1A1 = V2A2
45.74*2.4 = V2*6.16
V2 = 17.82 m/s

 

[rude man]

Homework Statement

How can we calculate the velocity at stack tip if the distance of larger diameter is 2.5 m?
I think i cannot use the equation of V1A1 = V2A2 because they may have some effect from 2.5 m of distance.

I think you're right. That formula applies to incompressible fluids like water. The flue gases are of course compressible.

I'm afraid I must leave this one to other helpers.

 

[haruspex]

There seems to be some confusion in the diagram. It shows a "velocity" in m³/s, asks about another such in the same units, but also quotes a "flow rate" in those units at the "exhaust temperature". How does that relate to the two velocities?
I have a suspicion the two "velocities" are supposed to be m/s. Given the diameter, that would seem to be consistent with the volumetric flow rate. If so, it makes the question much easier; you can ignore most of the information.

 

[Suradanai]

I think you're right. That formula applies to incompressible fluids like water. The flue gases are of course compressible.

I'm afraid I must leave this one to other helpers.

Thank you very much, now I am looking the gas equation also that can apply this issue.

 

[Suradanai]

There seems to be some confusion in the diagram. It shows a "velocity" in m³/s, asks about another such in the same units, but also quotes a "flow rate" in those units at the "exhaust temperature". How does that relate to the two velocities?
I have a suspicion the two "velocities" are supposed to be m/s. Given the diameter, that would seem to be consistent with the volumetric flow rate. If so, it makes the question much easier; you can ignore most of the information.

Oh!, that's my mistake, the right should be (m/s) as you said.
Thank you very much

 

[haruspex]

Oh!, that's my mistake, the right should be (m/s) as you said.
Thank you very much

"The right"? Do you mean the "flow rate"? I would have thought that was m³/s, and the two "velocities" should be m/s.