| Nonlocal form of the rapid pressure-strain correlation in turbulent flows. | |
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MedLine Citation:
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PMID: 19905440 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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A new fundamentally based formulation of nonlocal effects in the rapid pressure-strain correlation in turbulent flows has been obtained. The resulting explicit form for the rapid pressure-strain correlation accounts for nonlocal effects produced by spatial variations in the mean-flow velocity gradients and is derived through Taylor expansion of the mean velocity gradients appearing in the exact integral relation for the rapid pressure-strain correlation. The integrals in the resulting series expansion are solved for high- and low-Reynolds number forms of the longitudinal correlation function f(r), and the resulting nonlocal rapid pressure-strain correlation is expressed as an infinite series in terms of Laplacians of the mean strain rate tensor. This formulation is used to obtain a nonlocal transport equation for the turbulence anisotropy that is expected to provide improved predictions of the anisotropy in strongly inhomogeneous flows. |
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Authors:
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Peter E Hamlington; Werner J A Dahm |
Publication Detail:
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Type: Journal Article; Research Support, U.S. Gov't, Non-P.H.S. Date: 2009-10-15 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 80 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2009 Oct |
Date Detail:
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Created Date: 2009-11-12 Completed Date: 2010-01-20 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 046311 Citation Subset: IM |
Affiliation:
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Laboratory for Turbulence and Combustion (LTC), Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140, USA. peterha@umich.edu |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Computer Simulation Elastic Modulus Models, Theoretical* Nonlinear Dynamics* Pressure Rheology / methods* Statistics as Topic Stress, Mechanical |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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