Full Content is available to subscribers

Subscribe/Learn More  >

Alignment Trends of a Decomposed SGS Stress Tensor Determined From Holographic PIV Measurements

[+] Author Affiliations
Bo Tao

Purdue University, West Lafayette, IN

Joseph Katz, Charles Meneveau

Johns Hopkins University, Baltimore, MD

Paper No. FEDSM2002-31261, pp. 545-551; 7 pages
  • ASME 2002 Joint U.S.-European Fluids Engineering Division Conference
  • Volume 1: Fora, Parts A and B
  • Montreal, Quebec, Canada, July 14–18, 2002
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 0-7918-3615-0 | eISBN: 0-7918-3600-2
  • Copyright © 2002 by ASME


Based on the holographic PIV measurements in the core region of a square duct at ReH ≈ 1.2×105 , the tensorial alignment of the deviatoric subgrid-scale (SGS) stress (τij ) is shown to have a bi-modal behavior (Tao et al., 2001, 2002). To gain further insight into the statistical geometry of τij , we employ the Germano decomposition, τij = Lij + Cij + Rij (Leonard, 1974; Germano, 1986), and compute the decomposed stress elements directly from the velocity data. Their alignment trends are then investigated using joint probability density functions (pdf), similar to those in Tao et al. (2002). The alignment between the Leonard stress, Lij , and the filtered strain-rate (S̃ij ) is found to exhibit a similar bi-modal trend, but the alignment angle between the corresponding eigenvectors is around 40° instead of 32°. The alignment between the SGS Reynolds stress, Rij and S̃ij , on the other hand, is found to be consistent with an eddy viscosity configuration. In contrast, the alignment between the cross stress, Cij , and S̃ij is more complicated and does not exhibit any significant trend. Furthermore, previously reported alignment trends of the vorticity vector, ω̃i , relative to τij , are primarily due to the contribution from Lij . The orientation of ω̃i relative to Cij shows less robust alignment trends, and there is no clear trend in the alignment of ω̃i relative to Rij .

Copyright © 2002 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In