Blasius Solution for Boundary Layer

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The Blasius solution is questioned for its applicability to internal flow in underdeveloped pipes, primarily due to its assumption of constant pressure, which does not hold true in pipe flow. However, it can be valid in the entrance region where the boundary layer thickness is small relative to the pipe's radius. In this specific area, the pipe wall can be approximated as an infinite flat plate. The discussion highlights the importance of understanding the limitations of the Blasius solution in different flow scenarios. Overall, the Blasius solution may still provide useful insights under certain conditions in pipe flow.
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Is the Blasius solution valid for internal flow in an underdeveloped pipe? Can the function for the boundary layer thickness be used to calculate when the boundary layers will meet in the center of the pipe? I don't see how it could be valid since the assumption in its derivation is that pressure is constant across the flat plate, so dP/dx = 0 which is not true for pipe flow. Any thoughts?
 
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It is valid for the portion of the entrance region in which the Blasius BL thickness is small compared to the radius of the pipe. In this region, the pipe wall looks like an infinite flat plate.
 

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