Hydraulic Diameter: Calculate & Understand It

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SUMMARY

The hydraulic diameter is crucial for Reynolds number calculations and heat transfer coefficient assessments. It is defined as D(h) = 4*A / P(w), where A is the cross-sectional area and P(w) is the wetted perimeter. For circular geometries, the hydraulic diameter equals the diameter (D). In the case of rectangular tubes, variations in dimensions must be considered, particularly when calculating the total area of openings that may include triangular or trapezoidal shapes.

PREREQUISITES
  • Understanding of Reynolds number calculations
  • Familiarity with heat transfer coefficients
  • Knowledge of cross-sectional area and wetted perimeter concepts
  • Basic geometry of shapes, particularly rectangles and circles
NEXT STEPS
  • Research the application of hydraulic diameter in fluid dynamics
  • Learn about calculating Reynolds numbers for non-circular geometries
  • Explore methods for determining wetted perimeter in complex shapes
  • Investigate the impact of vena contracta on flow characteristics
USEFUL FOR

Engineers, fluid dynamics specialists, and anyone involved in the design and analysis of piping systems or ductwork will benefit from this discussion.

leonita
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Hi, I just confuse how to know this hydraulic diameter, would you mind to help me?
hydraulic diameter is for reynold calculation then heat transfer coefficient.
Thank you
 

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Last edited by a moderator:
The hydraulic diameter is the cross-sectional area of the flow divided by the wetted perimeter. The basic form is: D(h)= 4*A / P(w). For a circle, that just becomes D(h) = D, for other shapes it varies. Here's a page from Engineering Toolbox: http://www.engineeringtoolbox.com/hydraulic-equivalent-diameter-d_458.html

I'm not sure what level of work this is though. It could be as simple as figuring out the hydraulic diameter of that geometry, but it could also require you to account for possible phenomena like "vena contracta"; though most likely not.
 
Last edited:
Thank you for your reply. In my case, I used Hydraulic Diameter of Rectangular Tubes or Ducts.
However, the size of the rectangular tubes is different (decreasing). We can see it in the picture above.
In the first, size is 1.5 cm x 2.6 cm then it will decrease until 0.3 cm x 2.6 cm.
Do you have any suggestion?
Thank you
 
The definition uses the "cross sectional area".
Can you think of a way to calculate the total area of the opening (including the triangular/trapezoidal areas on the ends)?
 

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