Reynolds Number of a circular plate perpendicular to external flow

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To calculate the Reynolds Number for a circular plate perpendicular to external flow, use the diameter of the plate as the characteristic length. The challenge lies in determining the appropriate length for a flat plate in this orientation, as existing equations typically address parallel flow scenarios. The diameter of the plate is 3 inches, while the length of the tube is approximately 3 feet. Further research is needed to find or derive an equation suitable for this specific flow condition. Understanding the flow dynamics around the plate is essential for accurate Reynolds Number calculation.
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Hello, I am trying to obtain how to find the Reynolds Number of a circular plate perpendicular to external flow. Thanks
 
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The problem is what is the "length" of a flat perpendicular plate?
 
The diameter of the cylinder is 3 inches. The length of the tube is approximately 3 feet. The set of equations that I am using say that there is an equation for a flat plate in a external perpendicular flow. I have found equations for flat plates with the external flow parallel to the plate's length as represented in the wiki-site and different school notes. However, I have yet to obtain an equation for a flat plate with a flow perpendicular to the diameter.
The problem is diagrammed below... (This flow is not a pipe. Completely filled volume)
Flow:
--> ______________ __
--> /\ ......\ |
--> | |...... | Diameter
--> \/_____________/ _|_
-->
...|-----Length----|
 
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