Static pressure P is measured at two locations along the wall of a laminar boundary layer (Fig. P10–87). The measured pressures are P₁ and P₂, and the distance between the taps is small compared to the characteristic body dimension (Δx = x₂ – x₁ ≪ L). The outer flow velocity above the boundary layer at point 1 is U₁. The fluid density and viscosity are ρ and μ, respectively. Generate an approximate expression for U₂, the outer flow velocity above the boundary layer at point 2, in terms of P1, P2, Δx, U₁, ρ, and μ.

FIGURE P10–87

Transcribed Image Text:

U₁ |X1 Outer flow 8 Boundary layer X Wall -Pressure taps P₁ U₂ P₂ P₂ x₂