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Airy or linear wave theory assumes among other things that

  • A.the wave height is small compared with both depth and wavelength
  • B.the wave height is large compared with the depth of the water
  • C.the fluid is compressible and viscosity dominates the motion
  • D.the sea bed slopes steeply beneath the propagating wave train

Answer: A

Correct answer: the wave height is small compared with both depth and wavelength

Linear theory keeps only first-order terms, which requires the wave to be of small amplitude. It also assumes an inviscid, incompressible, irrotational flow over a horizontal bed. The theory is remarkably serviceable well outside its formal limits, but it cannot represent the sharp crests and flat troughs of a real steep wave, nor the mass transport that goes with them.

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