Finding out Shear rate of a bent pipe which has different bend radius values

In summary, the conversation discusses the difficulty in determining the shear rate for a pipe with a curved section. The suggestion is to use the shear rate as if the pipe were not curved, as long as the radius of curvature is large compared to the pipe diameter. There is also mention of a 10:1 ratio to determine if the fixed shear rate can be negligible. The conversation concludes with a suggestion to search for "Laminar Flow in curved Pipe" or "Toroidal flow" for more information on calculating a bent pipe.
  • #1
Baybora
24
0
which has different radiuses at both end. Its actually two pipes merging after the entrance going straight and somewhere close to middle of the pipe it's bent 90°.

So for simple pipes it's
=4*Q
π*r^3

But what for the pipe I mentioned? Is there any way to solve that or at least minimize the error?
 
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  • #2
Do you really think we can figure out the geometry of the system from your description?
 
  • #3
bent pıpe.png


here is the shape I was talking about. Hope this helps
 
  • #4
bump
 
  • #5
Baybora said:
View attachment 97168

here is the shape I was talking about. Hope this helps
The shear rate at the wall varies with position around the circumference for the curved sections, so there is no one value of the shear rate that you can assign to the flow. However, if the radius of curvature of the bends is large compared to diameter of the pipe, a good approximation is to use the shear rate as if the pipe were not curved.
 
  • #6
Chestermiller said:
The shear rate at the wall varies with position around the circumference for the curved sections, so there is no one value of the shear rate that you can assign to the flow. However, if the radius of curvature of the bends is large compared to diameter of the pipe, a good approximation is to use the shear rate as if the pipe were not curved.
It looks like the curve Radius is 50 mm and the pipe diameter before the curve is 40 mm. Is there any specific ratio to determine if the result of fixed shear rate could be negligible?
 
  • #7
Baybora said:
It looks like the curve Radius is 50 mm and the pipe diameter before the curve is 40 mm. Is there any specific ratio to determine if the result of fixed shear rate could be negligible?
I would go by 10:1
 
  • #8
I couldn't find anything regarding to calculation of a bent pipe. Is there even a way other than experimenting?
 
  • #9
Baybora said:
I couldn't find anything regarding to calculation of a bent pipe. Is there even a way other than experimenting?
You should be able to find Laminar Flow in curved Pipe or Toroidal flow
 

1. What is shear rate and why is it important to measure in a bent pipe?

Shear rate is the measure of how quickly layers of fluid move past each other in a pipe. In a bent pipe, the flow of fluid can be affected by the change in direction and the varying radius of the bend. Measuring the shear rate allows for better understanding and control of fluid flow, which is important in various industries such as chemical, petroleum, and food processing.

2. What factors affect the shear rate in a bent pipe?

The shear rate in a bent pipe is affected by the velocity of the fluid, the radius of the bend, and the viscosity of the fluid. The higher the velocity and the smaller the bend radius, the higher the shear rate will be. Viscosity, on the other hand, can either increase or decrease the shear rate depending on the type of fluid and its properties.

3. How do you calculate the shear rate in a bent pipe?

The shear rate in a bent pipe can be calculated using the following formula: Shear rate = (8 x velocity) / (π x radius). This formula takes into account the velocity of the fluid and the radius of the bend. It is important to note that this is a simplified formula and there are more complex equations that may be used depending on the specific characteristics of the fluid and the pipe.

4. What are the methods for measuring the shear rate in a bent pipe?

There are several methods for measuring shear rate in a bent pipe, including using a viscometer, a rheometer, or a flow visualization technique. Each method has its own advantages and limitations, so the choice of which method to use will depend on the specific needs and resources of the researcher or engineer.

5. How can the results of shear rate measurements in a bent pipe be used?

The results of shear rate measurements in a bent pipe can be used to optimize and improve the design of the pipe and its components. It can also help in selecting the appropriate fluid for a specific application. Additionally, understanding the shear rate in a bent pipe can aid in predicting potential flow issues or blockages and developing solutions to prevent them.

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