Determining Δhloss for Turbulent Flow: Is it the Same?

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Discussion Overview

The discussion centers on the determination of head loss (Δhloss) in fluid flow, specifically comparing laminar flow (Re < 2000) and turbulent flow (Re > 10000). Participants explore whether the formula for Δhloss remains the same in both cases and how the friction factor (f) varies with flow type and roughness.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant states that for laminar flow, the friction factor f is given by 16/Re, while for turbulent flow, the relationship is more complex and depends on both the Reynolds number and the roughness of the pipe, as represented in the Moody chart.
  • Another participant questions whether the formula for Δhloss remains the same for both laminar and turbulent flow, suggesting that only the friction factor changes based on flow type and roughness.
  • It is noted that the formula for K, which includes the friction factor, would also be consistent across both flow types, with the understanding that f varies.

Areas of Agreement / Disagreement

Participants generally agree that the formula for Δhloss is structurally the same for both laminar and turbulent flow, with the friction factor being the primary variable that changes. However, the complexity of the friction factor in turbulent flow introduces some uncertainty regarding its application.

Contextual Notes

The discussion does not resolve the specific implications of using the Moody chart for turbulent flow or the exact conditions under which the formulas apply, leaving some assumptions and dependencies unaddressed.

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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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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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
 
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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