Skip to main content

Principal Component Analysis on a LES of a Squared Ribbed Channel

  • Conference paper
International Joint Conference SOCO’13-CISIS’13-ICEUTE’13

Abstract

The present paper reports on the application of Principal Component Analysis (PCA) on the flow and thermal fields generated by the large-eddy simulation (LES) of a square ribbed duct heated by a constant heat flux applied over the bottom surface of the duct. PCA allows to understand the complexity of the resulting turbulent heat transfer process, identifying the flow and thermal quantities which are most relevant to the process. Different algorithms have been employed to perform this analysis, showing high correlation between turbulent coherent structures, identified by Q − criterion, and the heat transfer quantified by the non-dimensional magnitude Enhancement Factor (EF), both identified as Principal Variables (PV) of the process.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Han, J.C., Dutta, S., Ekkad, S.V.: Gas turbine heat transfer and cooling technology. Taylor & Frances (2000)

    Google Scholar 

  2. Hunt, J.C.R., Wray, A.A., Moin, P.: Eddies, stream, and convergence zones in turbulent flows. Center for Turbulence Research Report, p. 193 (1988)

    Google Scholar 

  3. Jolliffe, I.T.: Principal component analysis. Springer, New York (1986)

    Book  Google Scholar 

  4. Kaiser, H.F.: The varimax criterion for analytic rotation in factor analysis. Psychometrika 23, 187–200 (1958)

    Article  MATH  Google Scholar 

  5. Krzanowski, W.: Selection of variables to preserve multivariate structure, using principal components. Applied Statistics 36, 22–33 (1987)

    Article  Google Scholar 

  6. Lohász, M.M., Rambaud, P., Benocci, C.: Flow features in a fully developed ribbed duct flow as a result of les. Journal of Flow, Turbulence and Combustion 77, 59–76 (2007)

    Article  Google Scholar 

  7. McCabe, G.P.: Principal variables. Technometrics 26, 137–144 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  8. Nakhle, D., Rambaud, P., Benocci, C., Arts, T.: Numerical investigation of flow and heat transfer in ribbed square duct applying les. In: 10th International Symposium on Experimental and Computational Aerothermodynamics of Internal Flows - Proceeding of ISAIF10, Bruxelles, Belgium, July 4-7 (2011)

    Google Scholar 

  9. Parente, A.: Experimental and numerical investigation of advanced systems for hydrogen-based fuel combustion. PhD Thesis, University of Pisa (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Soledad Le Clainche Martínez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Le Clainche Martínez, S., Benocci, C., Parente, A. (2014). Principal Component Analysis on a LES of a Squared Ribbed Channel. In: Herrero, Á., et al. International Joint Conference SOCO’13-CISIS’13-ICEUTE’13. Advances in Intelligent Systems and Computing, vol 239. Springer, Cham. https://doi.org/10.1007/978-3-319-01854-6_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01854-6_27

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01853-9

  • Online ISBN: 978-3-319-01854-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics