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15-06-2024
Physics

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Air flows through two symmetric parallel plates with a spacing h = 3m. The velocity profile in the boundary layer is given. The velocity distribution within the boundary layer is u/U - (2(y/δ)-(y/δ)²)

The velocity distribution at cross-section 1 is uniform, with U₁ = 10 m/s, and the plate's width (perpendicular to the screen) is very large compared to ℎ.

a) Given the pressure difference p₁ - p₂ = 26.4 Pa between crosssections 1 and 2, determine the boundary layer thickness δ and the displacement thickness δ** at cross - section 2.

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