The correct answer is 1/2
The distance the surface would need to shift in the y-direction to reduce the flow through by a volume corresponding to the actual effect of the boundary layer is known as the displacement thickness for the boundary layer. The tiny but finite displacement of the outer streamlines caused by a boundary layer is another intriguing feature.
The description above makes it evident that the boundary layer, despite its thinness, significantly affects the free stream flow. If we hope to reduce or regulate the effects of the boundary layer, it is crucial to comprehend this impact.
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