CUED Publications database

The decay of Saffman and batchelor turbulence subject to rotation, stratification or an imposed magnetic field

Davidson, PA (2011) The decay of Saffman and batchelor turbulence subject to rotation, stratification or an imposed magnetic field. Journal of Physics: Conference Series, 318. ISSN 1742-6588

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Abstract

We consider unforced, statistically-axisymmetric turbulence evolving in the presence of a background rotation, an imposed stratification, or a uniform magnetic field. We focus on two canonical cases: Saffman turbulence, in which E(κ → 0) ∼ κ 2, and Batchelor turbulence, in which E(κ → 0) ∼ κ 4. It has recently been shown that, provided the large scales evolve in a self-similar manner, then u ⊥2ℓ ⊥2ℓ // = constant in Saffman turbulence and u ⊥2ℓ ⊥4ℓ // = constant in Batchelor turbulence (Davidson, 2009, 2010). Here the subscripts ⊥ and // indicate directions perpendicular and parallel to the axis of symmetry, and ℓ ⊥, ℓ //, and u ⊥ are suitably defined integral scales. These constraints on the integral scales allow us to make simple, testable predictions for the temporal evolution of ℓ ⊥, ℓ //, and u ⊥ in rotating, stratified and MHD turbulence.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 12:36
Last Modified: 29 Nov 2014 19:03
DOI: 10.1088/1742-6596/318/7/072025