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Summers, David (2002) Energy and structure of inertial range turbulence deduced from an evolution of fluid impulse. Physical Review E, 65 (3). 0363141- 0363149. ISSN 10953787
Full text not available from this repository. (Request a copy)Abstract/Description
We explore numerically a very simple idea that may provide a material explanation for inertial range turbulence. We base a Lagrangian model of viscous incompressible fluid flow on an evolving ensemble of vortex doublet sheets. Initially these are randomly oriented and randomly distributed within a disk in two-dimensional space. These sheets are then actively transported (in two dimensions) according to the Oseledets equation of motion for fluid impulse. The mutual interaction of these sheets, and their diffusion, establishes a velocity fluctuation field. In a specific sense this evolution is self-affine, and we exploit this property to calculate standard statistical measures for the fluctuation field. We determine from this simple model the second-order structure function and the energy spectrum of inertial range turbulence.
| Item Type: | Article |
|---|---|
| Print ISSN: | 10953787 |
| Uncontrolled Keywords: | Fluid motion; Inertia; Turbulence; Fluid flow; Lagrangian model; Two dimensional model; Osledets equation; Fluid impulse; Statistics; |
| University Divisions/Research Centres: | Faculty of Engineering, Computing and Creative Industries > School of Engineering and the Built Environment |
| Dewey Decimal Subjects: | 600 Technology > 620 Engineering > 627 Hydraulic engineering 500 Science > 530 Physics 500 Science > 510 Mathematics > 510 Mathematics |
| Library of Congress Subjects: | T Technology > TC Hydraulic engineering. Ocean engineering Q Science > QA Mathematics Q Science > QC Physics |
| Item ID: | 1861 |
| Depositing User: | RAE Import |
| Date Deposited: | 16 May 2008 09:29 |
| Last Modified: | 16 May 2008 09:29 |
| URI: | http://researchrepository.napier.ac.uk/id/eprint/1861 |
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