Determining Δhloss for Turbulent Flow: Is it the Same?

In summary, for laminar flow with Re < 2000, the formula for Δhloss is Δhloss=K*\frac{u^{2}} {2g}, where K=\frac{f*4L} {D} and f = 16/Re. For turbulent flow with Re > 10000, the formula for Δhloss is the same, but the dependence on Re is more complicated and the friction factor also depends on the roughness, which is represented on the Moody chart.
  • #1
williamcarter
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Homework Statement


We know for Laminar flow in which Re<2000 that

##Δhloss=K*\frac{u^{2}} {2g}##

What about if Re>10000 and is turbulent?

Homework Equations


##Δhloss=K*\frac{u^{2}} {2g}##
where ##K=\frac{f*4L} {D}##

The Attempt at a Solution



How would Δhloss look like for turbulent flow?Will it be the same?[/B]
 
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  • #2
For laminar flow, f = 16/Re. For turbulent flow, the dependence on Re is more complicated than this and the friction factor also depends on the roughness. This is all captured in the Moody chart, for both laminar and turbulent flow.
 
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  • #3
Chestermiller said:
For laminar flow, f = 16/Re. For turbulent flow, the dependence on Re is more complicated than this and the friction factor also depends on the roughness. This is all captured in the Moody chart, for both laminar and turbulent flow.

Thank you for your quick reply.
I understood this, but basically the formula for Δhloss will be the same , in both cases?Also for K formula would be the same in both cases?

Just f changes depending on flow type and roughness right?
I mean f for Laminar is 16/Re and f for Turbulent is intersection between Re and ξ on Moody chart
 
  • #4
williamcarter said:
Thank you for your quick reply.
I understood this, but basically the formula for Δhloss will be the same , in both cases?Also for K formula would be the same in both cases?

Just f changes depending on flow type and roughness right?
I mean f for Laminar is 16/Re and f for Turbulent is intersection between Re and ξ on Moody chart
Yes.
 
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Related to Determining Δhloss for Turbulent Flow: Is it the Same?

1. What is Δhloss for turbulent flow?

Δhloss, also known as head loss, is the loss of energy or pressure that occurs in a turbulent flow due to friction between the fluid and the walls of the pipe or channel.

2. How is Δhloss determined for turbulent flow?

Δhloss for turbulent flow can be determined using various empirical equations, such as the Darcy-Weisbach equation or the Hazen-Williams equation. These equations take into account factors such as the velocity, diameter, and roughness of the pipe or channel, as well as the properties of the fluid.

3. Is the Δhloss the same for all types of turbulent flow?

No, the Δhloss for turbulent flow can vary depending on the type of flow. For example, it may be different for fully turbulent flow compared to transitional turbulent flow. Additionally, factors such as the Reynolds number can also affect the Δhloss.

4. How does roughness affect Δhloss for turbulent flow?

Roughness of the pipe or channel walls can significantly impact the Δhloss for turbulent flow. Rough surfaces can cause higher levels of friction, leading to a greater loss of pressure and energy in the flow.

5. Can Δhloss be reduced in turbulent flow?

Yes, there are various methods that can be used to reduce Δhloss in turbulent flow. For example, using smoother materials for the pipe or channel walls, decreasing the velocity of the flow, or using flow control devices can help minimize the loss of pressure and energy.

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