Calculating the inlet lengths of a fluid circulating in a pipe?

  • #1
hya_t
4
1
TL;DR Summary: why do we need input length in fluid's dynamics

What is the purpose of calculating the inlet lengths of a fluid circulating in a pipe? and how to calculate it correctly? why do we need it in engineering? This is for a class project where we are asked to calculate it and I think it is better explained by modeling it and using it in a problem or situation that we encounter almost every day.
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Welcome, @hya_t ! :cool:

We not always need to exactly calculate the entrance length for full development of flow.
It is important for location of instruments in pipes and to reduce restriction to the flow formed by reduced free cross-section.

These articles may be helpful to you:
https://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)

https://en.wikipedia.org/wiki/Velocity_stack

1703537378091.png

IMG_0019__12069.1697247297.jpg
 
Last edited:
  • Like
  • Informative
Likes 256bits, berkeman, Tom.G and 2 others
  • #3
hya_t said:
This is for a class project where we are asked to calculate it
By what method are you being asked to calculate the input length?
Can you describe what you mean by "input length".
Input length to what?
 
  • #4
256bits said:
By what method are you being asked to calculate the input length?
Can you describe what you mean by "input length".
Input length to what?

Here is the formulation of the problem:
Determine the inlet lengths of a fluid circulating in a pipe by numerical resolution (ANSYS Fluent) and compare the result with the analytical solutions seen in class (Turbulent and laminar).
Compare velocity profiles with internal flow for different fluids.

Now,
I need a situation where it is necessary to calculate the entry lengths in everyday life to better explain it to the class and better model it
 
Last edited by a moderator:
  • Like
Likes 256bits
  • #5
Lnewqban said:
Welcome, @hya_t ! :cool:

We not always need to exactly calculate the entrance length for full development of flow.
It is important for location of instruments in pipes and to reduce restriction to the flow formed by reduced free cross-section.

These articles may be helpful to you:
https://en.wikipedia.org/wiki/Entrance_length_(fluid_dynamics)

https://en.wikipedia.org/wiki/Velocity_stack

View attachment 337689
View attachment 337691
Therefore knowing the input length allows us to know the location of the instruments of the circuit and this will affect the performance even of the instrument placed ?
 
  • #6
hya_t said:
Therefore knowing the input length allows us to know the location of the instruments of the circuit and this will affect the performance even of the instrument placed ?
I would say yes to that.
Trying to avoid the locations where turbulence induces a false reading.

beta&t=DE4IIbgAnf3O7PYPcaxQo6Bk_pCymNXmDwUmGsJnYEk.jpg
 
  • Like
Likes 256bits
  • #7
Lnewqban said:
I would say yes to that.
Trying to avoid the locations where turbulence induces a false reading.

View attachment 337755
I do not really understand
therefore everything we design in reality takes into account the fact of avoiding turbulence (is it even possible ? ) as best as possible. but I would like to know why turbulence does not suit us in our calculations?
thank you
 
  • #8
It is necessary to include the effects of the inlet length of fluid in a pipe for the case of short pipes. Otherwise you will get the wrong answer for the relationship between the pressure drop and the flow rate. The inlet flow development effect is more of a factor for laminar flow than turbulent flow.
 
  • #9
hya_t said:
I do not really understand
therefore everything we design in reality takes into account the fact of avoiding turbulence (is it even possible ? ) as best as possible. but I would like to know why turbulence does not suit us in our calculations?
thank you
Turbulence is to be avoided for pressure and velocity measuring instruments only where a “cleaner” flow exist.
For example, velocity sensors in airplanes are located far from the skin of the machine and from vortices.

The problem with measuring turbulent fluids is that there are constant fluctuations of pressure and chages of direction of the velocity vector, which induce a fluctuating measured value.

In other cases, we want to know where internal directional or straightening vanes are required inside a duct, in order to better use the available cross-section and avoid self-restrictions caused by uneven distribution of the velocity gradient.

Please, see:
https://www.modernairliners.com/mod...d-indicator-how-pilots-measure-airplane-speed

https://buildingengineer.wordpress....ary-component-or-efficiency-reduction-device/

There may be other applications of this concept of inlet lengths of a fluid calculations, which I am not familiar with.

:cool:
 

FAQ: Calculating the inlet lengths of a fluid circulating in a pipe?

What is the inlet length in fluid dynamics?

Inlet length, also known as entrance length, is the distance from the pipe entrance to the point where the flow becomes fully developed. In this region, the velocity profile changes from a uniform distribution to a parabolic profile for laminar flow or a more complex profile for turbulent flow.

How do you calculate the inlet length for laminar flow?

The inlet length for laminar flow can be estimated using the formula: \( L_e = 0.05 \times Re \times D \), where \( L_e \) is the inlet length, \( Re \) is the Reynolds number, and \( D \) is the pipe diameter. This formula provides an approximation for the length required for the flow to become fully developed.

How do you calculate the inlet length for turbulent flow?

For turbulent flow, the inlet length can be approximated using the formula: \( L_e = 10 \times D \), where \( L_e \) is the inlet length and \( D \) is the pipe diameter. This is a rough estimate, as the actual inlet length can vary depending on factors like pipe roughness and flow conditions.

Why is it important to know the inlet length?

Knowing the inlet length is crucial for accurate fluid flow measurements and calculations. In the inlet region, the flow is not fully developed, which can lead to errors in pressure drop calculations, flow rate measurements, and heat transfer analysis. Ensuring that measurements are taken beyond the inlet length helps in obtaining reliable data.

Can computational fluid dynamics (CFD) be used to determine inlet length?

Yes, computational fluid dynamics (CFD) can be used to determine the inlet length. CFD simulations can model the development of the velocity profile along the pipe length, providing a detailed understanding of how the flow evolves from the entrance to the fully developed region. This method can be particularly useful for complex flow conditions or non-standard pipe geometries.

Back
Top