Calculating Entrance Lengths in Hydrodynamics

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The dimensionless hydrodynamic entrance length is calculated using the formula z+=zh/(Re*Dh), where 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+. Instead, it indicates that the flow has not fully developed by the end of the channel. Therefore, zh can be longer than the actual channel length without any adjustments needed for z+. Understanding this concept is crucial for accurate hydrodynamic analysis.
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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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