Similarity without diffusion: shear turbulent layer damped by buoyancy

Strunin, D. V. (2006) Similarity without diffusion: shear turbulent layer damped by buoyancy. Journal of Engineering Mathematics, 54 (3). pp. 211-224. ISSN 0022-0833


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[Abstract]: The evolution of a turbulent layer generated by velocity shear between two half-spaces of fluid and suppressed
by a stable density difference is studied. Initially the layer expands, then shrinks to a point in finite time.
By the end of the expansion stage the turbulent diffusion decays to a small value compared to the shear and
buoyancy inputs in the turbulent energy balance. During the shrinking stage the diffusion decays even further by
comparison. It is shown that at this stage the profiles of the turbulent energy, velocity and buoyancy become
virtually self-similar. The differences between this case and the more usual types of self-similarity, where diffusion
plays significant role, are discussed.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Awaiting Author's version which is able to be deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 11 Oct 2007 01:15
Last Modified: 02 Jul 2013 22:47
Uncontrolled Keywords: buoyancy; shear; similarity; turbulence
Fields of Research : 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Identification Number or DOI: 10.1007/s10665-005-9010-5

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