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A turbulent boundary layer at \( x = 2 \) m where \( Re_x = 4 \times 10^6 \) has a thickness nearest to

  • A.35 mm
  • B.5 mm
  • C.70 mm
  • D.12 mm

Answer: A

Using \( \delta = 0.37x/Re_x^{0.2} \), the denominator is \( (4 \times 10^6)^{0.2} = 21.0 \), so \( \delta = 0.37 \times 2/21.0 = 0.035 \) m. That is roughly seven times the laminar value at a comparable station, which is why turbulent layers matter so much for ducts and intakes.

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