Are Haaland's equations always accurate for engineering calculations?

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Discussion Overview

The discussion revolves around the usability and accuracy of the Colebrook, Haaland, and Swamee equations in engineering calculations, particularly in relation to friction factor determination. Participants explore whether the Haaland equation is always appropriate or if there are circumstances that necessitate the use of different equations, as well as the implications of using iterative versus explicit methods.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question the reliability of the Haaland equation compared to the Colebrook equation, suggesting that while Haaland is easier to use, it may not always provide the necessary accuracy.
  • One participant argues that the Colebrook equation yields the most accurate results but requires iteration, which can be cumbersome, leading to the preference for the approximations offered by Haaland and Swamee-Jain.
  • Another participant expresses concern over the excessive precision often attributed to friction factor calculations, suggesting that a margin of error of 10 to 20% should be considered acceptable in practical applications.
  • There is a contention regarding the assertion that "99% of real-world calculations" are in the fully turbulent region, with some participants arguing that many scenarios fall into the transition zone, which complicates the use of the Moody diagram.
  • One participant reflects on the necessity of using formulas versus manual reference to charts, indicating that automated methods may require different considerations based on future unknown conditions.

Areas of Agreement / Disagreement

Participants express differing views on the accuracy and applicability of the Haaland equation compared to the Colebrook equation, with no consensus reached on the best approach for friction factor calculations. The discussion remains unresolved regarding the extent of turbulence in real-world calculations and the appropriateness of precision in these contexts.

Contextual Notes

Participants highlight limitations related to the assumptions made in calculations, the dependence on specific flow conditions, and the varying interpretations of the Moody diagram over time. These factors contribute to the complexity of determining the most suitable equation for friction factor calculations.

rhino970
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What is the usability of the Colebrook, Haaland, and Swamee equations in engineering work and the need or not to tailor the equation selection i.e. will Haaland always work or in some circumstance should a different equation be used? What about the iterative Colebrook vs. the explicit Haaland? Is it better to iterate or just get a direct albeit more inaccurate (maybe?) friction factor from Haaland? etc.
 
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The Colebrook equation will give you the most accurate solution but it can be difficult to solve for because it requires iteration. Because of this, the Haaland and Swamee-Jain equations were created and are approximations of the Colebrook equation which are much easier to solve. As they are only approximations they are also less accurate. Sine this isn't 1963 and just about everyone has a computer with Excel on it, it's best just to use the Colebrook equation for the most accurate solution.
 
Not to disagree with Topher, but beware the 'need for accuracy' in calculations using the Moody chart. It irritates me to see calcs with the friction factor determined to 6 significant figures; irritating because it projects an image of precision not inherent in the method. By which I mean, if you are designing a system, you should consider that the actual losses will be as calculated, plus or minus 10 or 20 %. So, don't sweat over the friction factor to any higher 'accuracy' than that.

The only reason I can see for using a formula (vs manual reference to the actual diagram or chart) is because people develop automated methods that they wish to use in unknown future situations. If you know the conditions are fully turbulent (ie, 99% of real-world calcs) then all you need is the fT vs pipe size table (eg, Crane page A-26).

Sorry, it's a pet peeve.
 
gmax137 said:
Not to disagree with Topher, but beware the 'need for accuracy' in calculations using the Moody chart. It irritates me to see calcs with the friction factor determined to 6 significant figures; irritating because it projects an image of precision not inherent in the method. By which I mean, if you are designing a system, you should consider that the actual losses will be as calculated, plus or minus 10 or 20 %. So, don't sweat over the friction factor to any higher 'accuracy' than that.

The only reason I can see for using a formula (vs manual reference to the actual diagram or chart) is because people develop automated methods that they wish to use in unknown future situations. If you know the conditions are fully turbulent (ie, 99% of real-world calcs) then all you need is the fT vs pipe size table (eg, Crane page A-26).

Sorry, it's a pet peeve.

I disagree that "99% of real-world calcs" are in the fully turbulent region on a Moody Diagram. Low pressure steam, water, compressed air and ducted air under normal conditions fall in "Transition Zone" of Moody's original 1944 diagram or the "Rough with Re Dependence" in more current versions of Moody's. Does anybody know why the Moody diagram has been modified?
 
tglester said:
I disagree that "99% of real-world calcs" are in the fully turbulent region on a Moody Diagram.

Yeah, you're probably right. In my world, if the flow isn't turbulent, then the pipe is too big. I must have forgotten that many people live in other worlds.

I still think, though, that some go too far in seeking accuracy in calcs like this.
 

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