Calculating Entrance Lengths in Hydrodynamics

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SUMMARY

The dimensionless hydrodynamic entrance length, represented as z+=zh/(Re*Dh), is crucial for understanding flow development in ducts. In this context, zh is the hydrodynamic entrance length, Re is the Reynolds number, and Dh is the hydraulic diameter. If the hydrodynamic entrance length (zh) exceeds the total channel length (L), it is not necessary to assume zh equals L for calculating z+. The flow remains undeveloped at the channel's end if zh is greater than L.

PREREQUISITES
  • Understanding of hydrodynamics and flow development
  • Familiarity with Reynolds number (Re) and its significance
  • Knowledge of hydraulic diameter (Dh) and its calculation
  • Basic grasp of dimensionless numbers in fluid mechanics
NEXT STEPS
  • Study the implications of hydrodynamic entrance length on flow characteristics
  • Learn about the calculation and significance of Reynolds number in fluid dynamics
  • Explore the concept of hydraulic diameter and its applications in duct design
  • Investigate flow development length in various duct geometries
USEFUL FOR

Fluid mechanics students, engineers working in hydrodynamics, and researchers focused on flow behavior in ducts will benefit from this discussion.

pauleck
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Hi everybody,
first of all, sorry for any grammatical mistakes, I am a non-native English speaker.
So here is my concern,

the dimensionless (hydrodynamic) entrance length is defined as:

z+=zh/(Re*Dh)

,where zh is the hydrodynamic entrance length, Re is the Reynolds number, and dh is the hydraulic diameter of the duct.

If zh exceeds the total channel length L, do I have to assume zh=L for calculating z+??

Thank you very much
 
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pauleck said:
If zh exceeds the total channel length L, do I have to assume zh=L for calculating z+??

No. The entrance length is longer than the channel length, and the dimensionless entrance length is longer than the dimensionless channel length. zh is not limited to the actual channel length. If zh>L it just means that at the end of the channel the flow hasn't fully developed yet.
 
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