Are Haaland's equations always accurate for engineering calculations?

  • Thread starter Thread starter rhino970
  • Start date Start date
  • Tags Tags
    Diagram
Click For Summary
SUMMARY

The discussion centers on the usability of the Haaland, Colebrook, and Swamee-Jain equations for engineering calculations, particularly in determining friction factors. While the Colebrook equation provides the most accurate results, it requires iterative solutions, making it less practical compared to the Haaland and Swamee-Jain equations, which are approximations. The consensus suggests that for most engineering applications, especially in fully turbulent flow conditions, using the Colebrook equation is preferable due to the availability of computational tools like Excel. Participants emphasize that precision beyond 10-20% in friction factor calculations is unnecessary and can mislead engineers regarding the accuracy of their designs.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the Moody diagram and its applications
  • Knowledge of friction factor equations: Colebrook, Haaland, and Swamee-Jain
  • Proficiency in using Excel for engineering calculations
NEXT STEPS
  • Research the iterative solution methods for the Colebrook equation
  • Explore the differences between turbulent and laminar flow in fluid mechanics
  • Learn about the latest modifications to the Moody diagram and their implications
  • Study the practical applications of friction factor tables, such as Crane page A-26
USEFUL FOR

Engineers, fluid mechanics students, and professionals involved in hydraulic design and analysis who seek to optimize their calculations for friction factors in piping systems.

rhino970
Messages
1
Reaction score
0
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.
 
Engineering news on Phys.org
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.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
12K
  • · Replies 3 ·
Replies
3
Views
6K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
6
Views
5K
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
7K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 23 ·
Replies
23
Views
5K
  • · Replies 10 ·
Replies
10
Views
3K