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.
The distance the surface would need to shift in the y-direction to lower the flow through by a volume corresponding to the actual impact of the boundary layer is known as the displacement thickness for the boundary layer. The tiny but limited displacement of the outer streamlines caused by a boundary layer is another intriguing feature.
The displacement thickness aids engineers and designers in determining the device's feasible size.
For instance:
Nozzle design:
When you manufacture, construct, and measure a flow, the design that was based on a theoretical estimate of flow rate based on nozzle diameter won't provide the intended flow rate. The boundary layer in the nozzle is to blame for this. Therefore, to satisfy the design conditions, the nozzle diameter may be changed for the displacement thickness by increasing the diameter in accordance with the displacement thickness.
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