Abstract
Abstract The “mesolayer” theory of turbulence is applied to the problem of rotating boundary layers. The first sections concern smooth surfaces and develop the concept of a mesolayer which, in accordance with earlier work on other fluid systems by the author and collaborators, has a thickness of order (hH)½ where h is the inner length and H is the outer length. In the present problem, h is v/uτ where v is the kinematic viscosity and uτ/f is the friction velocity and H is the Ekman-layer thickness uτ/f. The new results seem to agree with laboratory experiments with rotating fluids. The final section concerns rough surfaces. An experiment in a non-rotating system suggests that a mesolayer in a rotating system should have a thickness of the same form (h0H)½ , where the inner length h 0 is now the height of the roughness elements.
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