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

  • #1
hya_t
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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.
 
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  • #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

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IMG_0019__12069.1697247297.jpg
 
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  • #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
 
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  • #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
 
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  • #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:
 

1. How do you calculate the inlet length of a fluid circulating in a pipe?

To calculate the inlet length of a fluid circulating in a pipe, you can use empirical correlations or computational fluid dynamics (CFD) simulations. These methods take into account factors such as flow rate, pipe diameter, fluid properties, and the Reynolds number to determine the required inlet length for proper flow development.

2. Why is it important to calculate the inlet length of a fluid circulating in a pipe?

Calculating the inlet length is important to ensure that the fluid flow is fully developed before reaching the measurement or control point. Incomplete flow development can lead to inaccuracies in measurements or inefficient operation of the system.

3. What factors affect the required inlet length of a fluid circulating in a pipe?

The required inlet length of a fluid circulating in a pipe is affected by factors such as the flow velocity, pipe diameter, fluid viscosity, and the presence of obstacles or bends in the pipe. These factors determine the extent of flow development needed for accurate measurements or efficient operation.

4. Can the inlet length of a fluid circulating in a pipe be determined experimentally?

Yes, the inlet length of a fluid circulating in a pipe can be determined experimentally by conducting flow visualization studies or using tracer techniques. These methods involve injecting a dye or tracer into the flow and observing its behavior to determine the required inlet length for flow development.

5. How can the calculated inlet length of a fluid circulating in a pipe be optimized?

The calculated inlet length of a fluid circulating in a pipe can be optimized by adjusting factors such as the pipe diameter, flow rate, and inlet configuration. By optimizing these parameters, the required inlet length can be minimized to improve system efficiency and accuracy of measurements.

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