Question
Download Solution PDFThe maximum thickness of the boundary layer in a pipe of radius R is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
- The thickness of the boundary layer represented by δ is arbitrarily defined as that distance from the boundary surface in which the velocity reaches 99% of the velocity of the mainstream.
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For laminar boundary layers, the boundary layer thickness is proportional to the square root of the distance from the surface. Therefore, the maximum value of the boundary layer thickness occurs at the surface, where the distance is zero.
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The maximum thickness of the boundary layer in a pipe of radius R is R.
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For turbulent boundary layers, the boundary layer thickness grows more quickly, but it still has a maximum value of about R/2. This is because, at this point, the turbulence intensity is such that the momentum diffusing effect of the turbulent fluctuations balances the momentum loss due to viscous effects, resulting in a maximum velocity gradient at the edge of the boundary layer.
Last updated on May 28, 2025
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