G2GeneratedCurrent spec2:210 marks12 min

Generated, based on ENGR271 2026 Q2(c) "calculate and justify" style

Air at 101.3 kPa and 20 deg C has a mean free path λ=68 nm\lambda = 68\ \mathrm{nm}. At constant temperature, λ\lambda is inversely proportional to pressure. Air flows through a tube of internal diameter 10 mm connected to a vacuum system.

  1. (a)
    Calculate the Knudsen number at atmospheric pressure and state the flow regime.
    [3]
  2. (b)
    Determine the pressure below which the continuum hypothesis is no longer valid for this tube.
    [4]
  3. (c)
    The system is pumped down to 10 Pa. Calculate KnKn, state the regime, and explain whether the no-slip condition and the standard pipe-flow results of this module can be used.
    [3]