Principal Component Analysis on a LES of a Squared Ribbed Channel

  • Soledad Le Clainche Martínez
  • Carlo Benocci
  • Alessandro Parente
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 239)


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.


Conjugate heat transfer Large Eddy Simulation Principal Component Analysis Flow topology 


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  1. 1.
    Han, J.C., Dutta, S., Ekkad, S.V.: Gas turbine heat transfer and cooling technology. Taylor & Frances (2000)Google Scholar
  2. 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. 3.
    Jolliffe, I.T.: Principal component analysis. Springer, New York (1986)CrossRefGoogle Scholar
  4. 4.
    Kaiser, H.F.: The varimax criterion for analytic rotation in factor analysis. Psychometrika 23, 187–200 (1958)zbMATHCrossRefGoogle Scholar
  5. 5.
    Krzanowski, W.: Selection of variables to preserve multivariate structure, using principal components. Applied Statistics 36, 22–33 (1987)CrossRefGoogle Scholar
  6. 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)CrossRefGoogle Scholar
  7. 7.
    McCabe, G.P.: Principal variables. Technometrics 26, 137–144 (1984)MathSciNetzbMATHCrossRefGoogle Scholar
  8. 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. 9.
    Parente, A.: Experimental and numerical investigation of advanced systems for hydrogen-based fuel combustion. PhD Thesis, University of Pisa (2008)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Soledad Le Clainche Martínez
    • 1
  • Carlo Benocci
    • 2
  • Alessandro Parente
    • 3
  1. 1.School of AeronauticsUniversidad Politécnica de MadridMadridSpain
  2. 2.Department of Environmental and Applied Fluid Dynamicsvon Karman Institute for Fluid DynamicsSint-Genesius-RodeBelgium
  3. 3.Service d’Aéro-Thermo-MécaniqueUniversité Libre de BruxellesBrusselsBelgium

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