Friction factor and Turbulent flow

In summary: Fluid MechanicsIn summary, the friction factor decreases when the flow becomes more turbulent. This is because the velocity term is still present and it causes the friction factor to go down.
  • #1
GT1
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Do the head losses on turbulent flow are always greater then on a laminar flow? Why does it seem from the Moody chart that the friction factor becomes smaller when the flow becomes more turbulent?
 
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  • #2
Look at the definition of the friction factor and where the velocity term is located in that equation.

It is a little bit confusing but the drop in friction factor does not need less of a head loss since you will have to multiply it by V^2/2 and L/d first in order to obtain the later.
 
  • #3
I still don't understand why if there are more friction losses, the friction factor decreases. What is the reason to define the friction factor at this way?
 
  • #4
The friction factor a I understand relates the length of a pipe, its diameter and the dynamic pressure with head loss. It is very typical to relate phenomena such as these in relation to the dynamic pressure (think of drag coefficient). Since the Pd = 1/2 V^2 rho,the velocity is squared in in it.
 
  • #5
The friction factor is a function of Re number and the relative roughness of the pipe (e/D).
 
  • #6
Ok your correct about the e/D part I just looked it up. Anyway, the friction factor is defined as follows

http://en.wikipedia.org/wiki/Friction_factor

Note that it is a function of velocity squared were as you plot it against Re, you plot it against a first order velocity dependency. Hence, there is a velocity term left which causes the friction factor to go down when velocity (turbulence) goes up. the fully turbulent part on a Moody diagram seems non linear and I am not sure what causes that do.
 
  • #7
GT1 said:
Do the head losses on turbulent flow are always greater then on a laminar flow? Why does it seem from the Moody chart that the friction factor becomes smaller when the flow becomes more turbulent?

The friction factor gets smaller until the Reynolds number gets really large. Then it's just a function of the relative pipe roughness and the friction factor remains relatively constant. This is indicated by the almost horizontal line on the far right side of a Moody chart.

The Moody chart indicates this pretty clearly and all of the numerical calcs I've done agree with that (for Newtonian Fluids).

CS
 

1. What is the friction factor?

The friction factor, also known as the Darcy-Weisbach friction factor, is a dimensionless parameter used to describe the amount of energy lost due to friction in a fluid flowing through a pipe or channel. It is denoted by the symbol f and is an important factor in calculating pressure drop and flow rate in turbulent flow.

2. How is the friction factor calculated?

The friction factor is typically calculated using the Colebrook-White equation, which takes into account the pipe roughness, Reynolds number, and relative roughness of the pipe. This equation is complex and often requires iterative calculations, but there are also simplified equations available for certain flow conditions.

3. What is the difference between laminar and turbulent flow?

In laminar flow, the fluid particles move in parallel layers with no mixing or random motion. This type of flow is characterized by smooth, constant velocity profiles and a low Reynolds number. In turbulent flow, the fluid particles mix and move in a chaotic manner, resulting in a fluctuating velocity profile and a high Reynolds number. Turbulent flow is more common in practical applications and is associated with higher friction factors.

4. How does the friction factor affect flow rate?

The friction factor has a direct impact on flow rate, as it is used in the calculation of the Darcy-Weisbach equation. As the friction factor increases, the pressure drop in the pipe also increases, resulting in a decrease in flow rate. This is why smooth pipes and low friction factors are desirable for efficient fluid transportation.

5. What factors can affect the value of the friction factor?

The friction factor can be affected by various factors, including pipe roughness, Reynolds number, and fluid properties such as viscosity and density. It can also be influenced by the flow conditions, such as the presence of bends, valves, or fittings in the pipe. Additionally, the friction factor may change with time due to pipe corrosion or buildup of deposits on the pipe walls.

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