How Does Reynolds Number Change Along a Pipe's Length?

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The Reynolds number (Re) in a pipe changes along its length primarily due to variations in flow velocity and boundary layer development. As the boundary layer thickens, the freestream velocity increases, which in turn raises the local inertial forces relative to viscous forces. This results in a higher Reynolds number, indicating a transition from laminar to turbulent flow. The discussion emphasizes that assuming constant density and viscosity, the Reynolds number is directly proportional to flow velocity. Overall, as the flow progresses, the increasing velocity and boundary layer effects significantly influence the Reynolds number.
Jonny6001
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Hello, can someone tell me how the reynolds number for flow through a pipe change along it's length? Is the only method that the boundary layer gets thicker along the pipe so the freestream velocity increases? Assuming no gas temperature change along the pipe's length.
From thinking of the actual definition of the reynolds number, the ratio of inertial to viscous forces, I can see that the higher free stream flow in the thicker boundary layer regions would increase the local inertia force of the gas.

I would like someone just to clarify.

Thanks a lot.
 
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My basic understanding as per the formula is Re no proportional to velocity.If considering density,c/s and viscocity factors constant,Re no depends upon velocity.Thus as the velocity increases,boundary layer thickness vanishes to zero,flow becomes turbulent and Re no is higher.

Only first part of your Q was understandable.
 
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