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Which assumption underlies treating the atmosphere as a continuum?

  • A.The air is incompressible
  • B.The composition of the air remains uniform with height throughout the whole of the homosphere
  • C.The mean free path is far smaller than the scales of interest
  • D.The air behaves as an ideal gas so that its pressure density and temperature are simply related

Answer: C

Continuum mechanics is valid when a volume small compared with the flow still contains enough molecules for averages to be meaningful, which holds throughout the lower and middle atmosphere where the mean free path is measured in fractions of a micrometre. It fails only in the extreme upper atmosphere. The ideal gas law and compositional uniformity are separate assumptions, and the atmosphere is emphatically compressible.

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