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Rapidly-rotating turbulence: An experimental perspective

Davidson, PA (2010) Rapidly-rotating turbulence: An experimental perspective. In: Ten Chapters in Turbulence. UNSPECIFIED, pp. 318-350.

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Abstract

The evidence of the early experiments. We consider rapidly-rotating turbulence; that is, turbulence in which the fluctuating velocity in the rotating frame, u, is smaller than, or of the order of, ⌳Ω⌳ l, where Ω = Ωê is the bulk rotation vector and l a suitably defined integral scale. The Navier-Stokes equation in the rotating frame is. where p is the so-called reduced pressure, which incorporates the irrotational centrifugal force. It is conventional to introduce the Rossby number, Ro = u/Ωl, to measure the relative importance of the inertial and Coriolis forces, and so our primary interest is turbulence in which Ro = O(1), or smaller. It is well known that such turbulence is characterised by the presence of long, columnar eddies aligned with the rotation axis, and there has been much discussion as to the mechanism by which these columnar structures form. The various theories differ in detail, but all agree that inertial waves play an important role. (We shall review the properties of inertial waves in §8.2.). Several, now classic, experiments set the scene in the 1970s and 80s. Ibbetson & Tritton (1975) looked at freely-decaying turbulence in a rotating annulus in which Ro = O(1). Like all subsequent researchers, they observed that rotation causes the eddies to grow rapidly along the rotation axis, forming columnar structures. They also noted that inertial waves are important for transporting energy across the flow. z

Item Type: Book Section
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:41
Last Modified: 08 Apr 2021 06:56
DOI: 10.1017/CBO9781139032810.009